00:00 | Mhm Last week, pretty much introduction things. What data do we |
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00:10 | How do we get the data, large audience and how do we get |
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00:16 | data? Now, we're gonna start talk about how we use the |
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00:21 | So how do we evaluate hydro Talked about what we wanted to know |
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00:26 | kind of data there was the value core and the value of cuttings, |
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00:31 | side walls. So um basically, gonna be two ways we do |
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00:38 | We're gonna, there's two main ways we uh evaluate hydrocarbons. So one |
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00:45 | on a concept of balance forces that height modeling, which we looked at |
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00:51 | , remember we talked about we're balancing forces and capillary force, right? |
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00:57 | we're overcoming a tension at four walls buoyant force. And uh if you |
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01:04 | the exercise that allow you to basically everything up into including if you have |
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01:09 | cap like pressure curve, you can with quite some accuracy, the permeability |
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01:16 | , uh et cetera where the hydrocarbons and function of depth, all of |
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01:21 | . So very powerful method. Next we're gonna look at spend most of |
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01:26 | rest of the course, looking at of it and most of it is |
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01:30 | resistivity to evaluate hydrocarbons, which to , it always amazed me, somewhat |
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01:37 | forces. I could understand that physicist training, but uh in something like |
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01:43 | rock, be able to measure resistivity quantitatively determine what the oil saturation |
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01:51 | Uh It's uh pretty fascinating, main we can do it, get rid |
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01:58 | them. How do I get? gotta click on this. I guess |
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02:16 | , all right, thanks. It's . Yeah. OK. So little |
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02:27 | of magic here. But why can do this is because we really only |
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02:31 | one source of connectivity, particularly when start. The only thing that conducts |
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02:36 | the brine, it's gonna be our assumption. So really what we're measuring |
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02:41 | the amount of brine that we have the nation. Uh Interestingly enough, |
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02:48 | find it interesting, this is related the uh amount of high amount of |
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02:53 | using a Power Law called the Arch . It's not linear what, what |
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03:00 | might have gas. And we're gonna through kind of a detailed understanding of |
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03:05 | it's Power Law and what all of parameters in Archie's equation. So this |
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03:10 | uh one uh remember I told you uh three equations you're gonna have to |
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03:16 | is that relationship between pathway pressure, surface tension contact angle and poro |
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03:23 | right? That's one the one you for the saturation hide model. Uh |
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03:29 | equation and then Archie's equation. Remember I stated about uh by, remember |
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03:37 | , you're gonna have to know what equations are, what all the terms |
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03:40 | them means. And then be able describe uh some elementary way how it's |
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03:46 | , right? Don't misunderstand what And so we're looking uh like I |
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03:53 | already, we're gonna send them the resistance. We're going to assume that |
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03:58 | rock matrix quartz is quite a good . It's a pretty standard insulator, |
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04:04 | ? So very high breakdown pressure. quartz does not conduct hydrocarbons do not |
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04:11 | . And when we're going to run trouble is which we will talk about |
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04:15 | this class. Since you're mostly geologists clays are what causes us to have |
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04:22 | stem the Archies equation to a shay . So we'll talk about that in |
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04:27 | too. First of all, you under the lamp post first, we |
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04:31 | the simple things first, not the equation, but that simple. It's |
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04:37 | I would play magical and how well works. So we, first of |
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04:43 | , like everything we've talked about so , we need to, to find |
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04:46 | vocabulary. So rw is the first . This is the water resistivity, |
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04:56 | formation water resistivity. And I stated least up to the end of this |
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05:02 | . Uh Maybe the next we will only uh the only thing that'll be |
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05:07 | is the brine. OK? It's function of water salinity and temperature. |
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05:11 | look at that uh how that I think a lot of it's obvious |
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05:16 | happens with temperature and salinity. All . So our, our, our |
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05:21 | this is a resistivity. This is intensive or extensive property intensive. Everybody |
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05:33 | what those are. Yeah, intensive depend on the amount of material extensive |
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05:40 | . So we want to determine a of the formation which we will then |
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05:46 | aerial extents and things like that. we know a saturation, an intensive |
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05:51 | , right, we will be able build an extensive property. What our |
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05:57 | of oil is. Other words, much our formation at least one good |
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06:02 | how much money our formation is Yeah, hopefully it's clear what we're |
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06:07 | do. Uh Next is R oftentimes called ro, but it really |
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06:16 | zero. And what we mean by is zero oil, you can see |
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06:24 | trans spread. I don't know is a transcript being generated? Usually? |
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06:43 | my English is that bad? All . Uh So it's the resistivity of |
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06:51 | rock when the water saturation, which already talked about, right, is |
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06:57 | number. What a saturation. What we normalized to? What's the definition |
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07:02 | water saturation? It's the volume of normalized to the poor volume. Remember |
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07:12 | we got from that normalization to a volume. Clearly not studying your notes |
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07:23 | right. So we multiply the saturation porosity, porosity is the volume for |
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07:29 | volume, saturation is the volume of per po po volumes go away. |
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07:34 | gets the volume fraction of oil per bulk volume. That's one I really |
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07:40 | remember gonna get used. You're gonna asked in the midterm. You're gonna |
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07:45 | to know that. OK. Derivation quite trivial, but I don't think |
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07:50 | too much to ask. Would you that? It's a volumetric kind of |
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07:56 | which I will expect you to be to do. So, it's clear |
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07:59 | RO is. So, Ro is greater than RW has to be. |
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08:07 | , we're gonna go through a mental which geologists tend to be very visual |
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08:11 | right brained. I'm told that's also for me. So I like these |
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08:17 | mental models for how we are going build a rock. So we are |
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08:21 | gonna go through that. I think important for you to understand that mental |
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08:26 | , right? But pay attention rwro greater than our W and basically, |
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08:34 | have taken a brine which we measure W for, we will add a |
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08:40 | grain like belts bar to it. therefore, the resistivity has to get |
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08:46 | . Our W remains the same. what happens is my, um my |
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08:51 | of water will go down and the of the current we have to blow |
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08:56 | all those brains will also cause the to be greater, right? Not |
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09:04 | whether we'll talk about tortuosity but that's ratio of the length of the current |
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09:10 | to the physical length of the We're measuring the resistance through measuring the |
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09:16 | of or that he's OK with It's obvious why Ro has to be |
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09:21 | than RW adding a non conductive So this is my mental model. |
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09:28 | illustrate that we start with a tub water, some tube, we're gonna |
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09:34 | the resistance across it. We're gonna the dimensions which allows us to get |
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09:39 | resistivity, right? And then we dump a bunch of quarts in here |
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09:45 | the water is gonna overflow. We worry about that, right? So |
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09:48 | have less water in here. We're measure the resistance again, or the |
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09:54 | again. Clearly, it's got to greater because we are adding a non |
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09:59 | material to it. Huh Again, current has to go. I lost |
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10:05 | point. Nobody pointed that out. getting pretty good at doing that out |
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10:11 | class in the face because we have go around all of these brains. |
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10:17 | so two reasons why the resistivity has larger. Next thing we're gonna do |
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10:22 | we're gonna do this in separate stages we're gonna add oil to this |
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10:28 | Oil is again, non conductive. what's gonna be my resistivity when I |
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10:34 | that and be bigger, the activity be larger. Oil is non |
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10:42 | And I want you to notice the we're kind of doing the same |
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10:46 | we have oil trapped in the poor , right? We are reducing the |
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10:51 | of water, we're increasing the So we expect the equation Arching equation |
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10:58 | covering saturation to be quite similar to happened with broth. And see in |
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11:03 | second, that that's true. We're OK with that. By the |
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11:07 | we call that resistivity. Once we the oil RT, if that's |
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11:14 | yeah, we're here. We'll call . That's called our T for the |
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11:21 | resistivity. Why is that? When study resistivity logs, we'll understand why |
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11:27 | calling it true. It's because we're resistivity, it's unaffected by four hole |
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11:36 | , what we want. And that's number we want to plug it into |
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11:40 | equation to give us a saturate, ? Everybody's still OK. This definition |
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11:48 | so dark. So uh fundamental interpretation , when I say you need to |
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11:55 | and be able to write down Archie's . I mean, all of |
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11:59 | right? We're gonna define what the factor is. Formation factor is. |
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12:04 | ratio. It's ro divided by That's bad. This is actually pretty |
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12:13 | what happens to RO if I double after it's a constant fight F is |
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12:24 | property of the rock which is kind analogous to permeability that a talked |
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12:32 | right? So it's a function of tortuosity, but it will be different |
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12:38 | pay because it doesn't depend on brain like grass and Yeah. Yeah. |
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12:54 | is the true resistivity of what we measure far away from the boreal |
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13:01 | oil includes water, foods, aros sector. Well, we'll show the |
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13:07 | of that sector. All right. this one's fun. Now, uh |
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13:12 | of my favorite parts of talking about equation is this Power Law behavior. |
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13:19 | sees F is equal to one over to VM. That's a Power |
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13:28 | Typically M is somewhere around two greater two can be less than two. |
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13:35 | is no fundamental reason. It should equal to two. I could talk |
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13:42 | that if somebody really wants me right? What, what that |
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13:46 | Right. But what happens if my actually goes down by a factor |
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13:55 | My formation factor does not change by factor of two. It changes soon |
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14:01 | is equal to two, two squared four. So my resistivity has gone |
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14:07 | by a factor of four. So is one of the cool things about |
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14:13 | is that your resistivity is a strong of porosity and saturation. So it |
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14:20 | it fairly sensitive to adding oil. why I'm dead. Now, this |
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14:27 | here, this did not appear in original equations. This C people put |
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14:33 | in. Uh And we will understand C uh what C demonstrates is that |
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14:40 | complex four systems, Archie's equation doesn't hold through this form. This is |
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14:47 | quite remarkable. By the way, I plug a porosity of one |
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14:52 | what do I get for one to power is one. So at A |
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15:04 | one, we are back to our of water, we have added no |
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15:09 | . So we have to get back that point. Everybody see that one |
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15:17 | any power, one squared is one to the half, power is |
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15:22 | tub is one. It's a multiplicative , right? Ok. That's actually |
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15:29 | remarkable. This in general holds for reasonably well means I can go all |
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15:37 | way from a porosity of like, know, rocks that ranges in porosity |
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15:42 | . A G's equation will be that from a porosity of, I don't |
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15:46 | , 5% maybe even lower all the to a porosity of one. You |
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15:53 | not be surprised by that, but are still continuously surprised. What does |
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15:59 | mean that my rock behaves in a consistent way all the way 90% of |
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16:06 | 90% of my rock being rock to of my rock rocks are complicated things |
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16:15 | that to work. That simply is a what we will be finding. |
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16:21 | , is that in carbonates, this often not true, this does not |
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16:28 | . Hence C gets added. And C tells you is basically some idea |
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16:35 | how much of differing core systems are there to people. Because what happens |
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16:44 | if I set B equal to one this equation B to the M is |
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16:50 | and it states that at a porosity one no rock, my formation factor |
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16:55 | no longer one. Therefore, my of my grine somehow is not |
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17:04 | That's clearly incorrect. Everybody understand So what this means and you will |
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17:12 | this elsewhere. Yes, I've already it. It means that this equation |
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17:17 | locally true in a mathematical sense over limited range, right? It will |
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17:24 | , but I cannot extrapolate this too . Well, hopefully understand that when |
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17:30 | get carbonate. But for now, classics, we are always going to |
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17:37 | that s equals 11 core system is and that we can use Archie's equation |
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17:43 | of straight from his original papers. go back and think I might have |
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17:49 | , given you one of his original . This is what he did when |
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17:53 | plotted the data, he got a line on a log log plot and |
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17:57 | came pretty close to f equals 11 equal, right? We're all OK |
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18:05 | that. But that's an important particularly when we get to carbonates, |
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18:09 | gonna have to understand this detail, ? And this cementation is a |
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18:17 | I must have looked at 30 40 sets in my call it a career |
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18:23 | this stage in my life in my . And I have never found that |
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18:29 | dominates given the facts, plastics. we're gonna find is it's about clays |
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18:37 | and carbonates. It's about bugs versus ferocity. Determines what, what determines |
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18:46 | values of M and what we'll N in a second, right? |
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18:49 | parameters in a. OK. Should go into what a fractal is in |
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18:56 | class? You're all geologists? Everybody what a fractal is. Nobody knows |
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19:04 | a practical is. At least a of, you are willing to admit |
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19:10 | . I didn't know it at this and I was your age, I |
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19:14 | did not know what was but uh a relatively recent concept. It was |
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19:20 | in the late sixties, early seventies Mandel. However, you as |
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19:27 | you physicist too should understand this because of the things you look at are |
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19:35 | , four spaces are fractal, Uh coastlines are fractals, meandering rivers |
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19:42 | are governed by fractal statistics. All these things are fractal. Geologists need |
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19:47 | understand what a bra what is a ? The original, the original, |
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19:54 | go back to Mandelbrot's original book, ? He explains, he introduces the |
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20:00 | by the length of the coastline. . But you're measuring and I think |
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20:05 | did it on the coastline in but it doesn't matter what coastline |
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20:08 | You're measuring the length of the right? And you do this from |
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20:13 | satellites, you have maybe a kilometer , you measure the length of that |
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20:19 | , you'll get a certain number, ? So perfectly valid. I now |
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20:26 | and I measure it a higher let's say at a resolution of 100 |
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20:31 | . I measure it again. Will get the same number? Come |
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20:40 | you're all geologist. You look at stuff for a long time, |
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20:45 | Very rugged. I increase my I'm able to follow the coastline |
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20:51 | I will get a larger number. ? Ok. Increase my resolution |
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20:57 | I can follow even more detailed ins outs of the coastline and I'll get |
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21:03 | even bigger number. I can do . That were actually quite a few |
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21:07 | of magnitude. I will keep getting and bigger numbers. So, what |
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21:12 | the length of that coastline? The ? You probably want to know |
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21:16 | right. But what's going on with coast, et cetera? Right. |
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21:22 | old is the continent or whatever the is? You're measuring all of |
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21:26 | Who's right? Nobody's right. Everybody's . There is no answer. We |
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21:38 | up and don't worry about the So that's probably a good idea. |
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21:44 | all want jobs. Right. So answer is everybody. Right. |
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21:53 | You in order for that number to anything you have to define the length |
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21:59 | the yardstick. What your resolution I can tell you if you're measuring |
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22:04 | porosity in a rock. This is to be true too. When you |
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22:09 | a thin section from a porosity, get the right number. Sorry, |
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22:12 | you get a porosity from a thin , do you get the right number |
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22:21 | ? Uh when is it significantly How about if you have clays because |
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22:32 | will not typically have the resolution in micro thin section. You have to |
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22:37 | to an SCM, I measure the sizes. So it's very standard to |
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22:42 | too small a number even if you everything else, right? You get |
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22:46 | small a number because you have not at the porosity on a small enough |
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22:50 | scale to include everything, micro course or another or anything. Yeah. |
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22:58 | all of these, you have to attention to the length scale and what |
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23:02 | you pick up as you go to finer length scale, right? So |
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23:08 | rate of change, however, what can uniquely identify and is different for |
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23:14 | , the Norway than West is the of change of that coastline with the |
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23:21 | of the ruler. Ok. So is actually the demonstration is he he |
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23:28 | plot the length of the coastline versus resolution. What did he find that |
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23:35 | a Power Law? OK. So coastline, if you tell me the |
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23:41 | of the ruler, I know the of that Power Law, right? |
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23:45 | interesting, I can tell you what you would measure. So what is |
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23:50 | is the slope on that log log of the rate of change of the |
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23:56 | with the size of the ruler So why do I bring it up |
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24:01 | ? Because Archie's equation formation factor is Power Law. But what does that |
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24:07 | you particularly given the explanation. I the last five minutes on, |
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24:15 | resolution matters, right. Resolution And there are many length scales inherent |
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24:22 | a, in a poor system. look at a micro CP volume. |
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24:27 | don't know. Did we talk about a lab to her one day in |
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24:30 | class? So again, we we settle on moving towards the end of |
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24:35 | course if you'd like to do we just got our micro C up |
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24:39 | running again. So I I would to show you actually a three dimensional |
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24:44 | of a four system. Seeing my is believing and, and if you're |
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24:50 | right brained as I am, it's it required to believe things people are |
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24:56 | , you know, why should you me? Right, other than I'm |
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25:00 | paid. So the M value just the value of the Power Law for |
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25:07 | length of the coastline tells you the of change how many pores we were |
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25:12 | up as we change length scale. a Power Law four systems fractal. |
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25:19 | you implicit in that because we have length scales inherently measuring the OK. |
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25:25 | it is pretty clear if you look a Catholic pressure curve, you see |
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25:29 | if you look at uh uh permeability , those those are modeled by Power |
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25:35 | resistivity is modeled by a Power Law in rocks. Power Law creep. |
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25:41 | everything you measure that involves the poor obeys a Power Law. If we |
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25:50 | a over the grains and the poor that breaks down the velocity doesn't ba |
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25:57 | Law behavior. I was stuck on for quite a long time. |
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26:03 | With what a, what a fractal , it's qualitatively what it means. |
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26:10 | I ask you on a midterm, is the Power Law? What is |
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26:16 | ? You would say many length scales involved in the measurements, right? |
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26:24 | a Power Law actually allow you to that, right? Those length |
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26:37 | What is this value scene? I'm beat that with that. So |
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26:45 | you will see it's a great And one I asked myself, I |
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26:50 | came from Michigan, right? Working nonlinear optics. Nothing to do with |
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26:55 | . It gets to the old the oil industry, they're using this |
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27:00 | . Nobody knows why, right? calls it empirical. So asked exactly |
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27:06 | question, what determines the value of as petros? And didn't really get |
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27:12 | piece of, we're gonna do our to answer that question and published it |
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27:17 | , as well as a, a of the where it comes from? |
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27:23 | . When I asked myself, maybe why I think it's great. All |
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27:27 | . So that equals speed to the M. That's just OK. |
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27:32 | Then the other concept that you're gonna , we're gonna, you're gonna use |
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27:36 | do this calculation is uh what's called A which is an apparent water |
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27:45 | OK. So you notice that here have rob to DM. This basically |
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27:52 | the saturation is one. See why is the second we go through and |
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27:57 | things. Ignore the fact that there be oil and we calculate a |
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28:03 | we calculate an apparent water activity. of the ways people attempt to evaluate |
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28:11 | a water is giving is, that's come up later in the lecture |
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28:17 | OK. So you can do this empirically, which is kind of the |
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28:23 | way to do it. But I strongly particularly you as geologists. Why |
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28:28 | I say you should understand why the is changing because that gives you real |
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28:34 | to MNC. What was RW It's the apparent water by apparent, |
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28:44 | mean we're gonna ignore the effects of . We're gonna calculate RW as if |
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28:50 | fully water sand. I'll explain how used. You, you look for |
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28:59 | lowest resistivity that you calculate in this and you're gonna assume that's my best |
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29:06 | for what the true water saturation is oil is gonna make the resist to |
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29:10 | higher. You, you'll, you be doing that. So my last |
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29:18 | I'm gonna add is oil. And , or we all believe that G |
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29:26 | but F is equal to one over to the M I multiply that by |
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29:31 | , I get my RO what happens I add oil? Imagine this is |
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29:35 | water, wet rock right, which have some idea what that means. |
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29:40 | , where's the oil gonna sit in water wet rock in the center of |
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29:44 | core body? It's like if we , sorting it would put a crane |
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29:49 | . So gee how would this have behave in much the same way? |
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29:58 | . This gives us RT is the to the question that was asked |
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30:03 | RT is the true resistivity. It the effects of adding oil. |
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30:10 | And interestingly enough, this I found interesting uh This is a scaling loop |
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30:17 | , right? Remember the scaling rule had that here. Let's just go |
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30:22 | at this ro is just equal to number which was constant for the rock |
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30:27 | RW by the way, that's gonna down. Yeah, it's not gonna |
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30:34 | . This is one of the things gonna have to change this implied, |
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30:39 | ? There's a simple scaling here. basically the geometry of the current flow |
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30:44 | independent of the relativity. The what's happen when we add clays? They |
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30:50 | add a source of connectivity. So geometry of my current flow will change |
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30:55 | a function of sele. So that be salinity dependent. So RT has |
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31:06 | be greater than, has to be than our old unless there's no |
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31:11 | In which case, they will equal by definition. But if I add |
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31:16 | , it's non conductive. And interestingly , I know you're all getting all |
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31:21 | goose bumps, right? Like I that there is a scaling rule, |
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31:25 | obeys a Power Law just like the factor did. There's a, there's |
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31:33 | relationship between RO and RT. This due the I called the resistivity index |
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31:40 | a function of adding oil that I like F was one over B to |
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31:47 | M I is equal to one over to the N A Power Law. |
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31:53 | . What does this mean? It that oil is introduced into the rock |
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31:58 | varying length scales again, just like bros that to me makes a whole |
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32:04 | of sense. Fact, one of assumptions and is called the saturation |
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32:12 | One of the common, the, most useless assumption is gee let's let |
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32:17 | Glen equal two, right? The reason to set that equal to two |
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32:23 | uh is that it's one button on calculator. That's the only reason they |
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32:28 | do of doing there is no reason M should be two or M should |
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32:34 | two back in that. Um If were to make that is actually a |
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32:41 | Shay rock. If you make that , there's a fair amount of play |
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32:46 | it. If you have a very rock, M is an N is |
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32:51 | to be closer to 1.61 0.7 to as low as 1.5. But that |
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32:57 | be a right. So M equals equals two is bad guess unless you |
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33:07 | there is a significant amount of We're gonna see that not too |
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33:10 | but uh how about M equals N can talk about this. And one |
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33:17 | the reasons I wanted to talk about ability, saturation height bottling first was |
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33:22 | is a water wet assumption M equals means that gee the way when my |
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33:29 | changes why rocks, water wet oil behaving a similar rule to that. |
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33:35 | putting oil, it's sitting in the of the pore just like a grain |
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33:40 | . So water wet assumption M equals if N is greater than M, |
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33:47 | a mixed assumption. That means that oil is preferentially, right? Uh |
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33:55 | towards the throats, right? Tending cut off connectivity more rapidly and agro |
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34:02 | is fair enough for now, So it's called the saturation exponent. |
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34:14 | it will depend on principle M does obviously depend on wet ability, there's |
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34:20 | oil involved in it and gods. so RT, we can write RT |
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34:28 | our old, old this to be water saturated rock divided by SWF. |
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34:35 | here you can see for some nobody throws a sea into this |
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34:40 | right? But you can see if water saturation is one, we end |
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34:44 | back with our team just as That's pretty standard assumption. They don't |
|
34:52 | AC or ad or ad or whatever this equation. I think that's mostly |
|
34:59 | they measure it, right. No goes through that all. OK. |
|
35:07 | , on water saturation on a if you assume an equal two. |
|
35:14 | again, this just makes it I can hit the square root button |
|
35:20 | bite. Uh Again, only by . Would that be true? All |
|
35:28 | . So how do we get, get our o you have to know |
|
35:34 | the water saturation is to get that . So a lot of times that's |
|
35:40 | a useful thing to have measured. normally don't like to drill wells where |
|
35:44 | no oil. That's a lot of for not much return on our |
|
35:48 | right? But oftentimes you'll hit that you'll hit a water leg or you |
|
35:54 | through the pay zone will gets to you think the water saturation if you |
|
36:00 | , that allows you a way to RW. RW is actually barely, |
|
36:05 | , I know a lot of cases drill an exploration. Well, you |
|
36:09 | oil everywhere. How do I get water resistivity? Right. Put into |
|
36:16 | . Even if you produce water, lot of times you don't even produce |
|
36:19 | . You're all expert on Catholic pressure . If I'm not producing any |
|
36:24 | what does that mean? Just did exercise, right? Talked about critical |
|
36:32 | saturation. It means that our hydrocarbon is such that every well in that |
|
36:39 | , we are above the critical water , we will produce no water. |
|
36:45 | that's good news, right? That's we want. But if we're gonna |
|
36:49 | Archie's equation and we're gonna try to as we move away from that well |
|
36:54 | . Where do we start to encounter ? We need to know our water |
|
37:00 | . Also, what's gonna happen as produce that oil, we're gonna get |
|
37:04 | encroachment. Ultimately, we will start use water a lot of times the |
|
37:10 | way to monitor that is through a measure, we can do an open |
|
37:17 | completion. So we would love to the water resistivity, blind resistivity. |
|
37:24 | lot of times that's a hard thing get. OK. Sure. And |
|
37:32 | we could solve for water saturation, Archies equation. Again, there's no |
|
37:37 | reason and I really C is EC equal one in this course, except |
|
37:45 | where we explicitly understand why not. your standard assumption C is equal to |
|
37:52 | C came about through the and originally the, actually in classics, through |
|
37:56 | humble relation. And it's just they a cloud of point through a line |
|
38:00 | a gray their regression, even though correlation wasn't very good, it didn't |
|
38:05 | back through an F of one B one. This meant they didn't spend |
|
38:10 | time to understand the reason. So do we get our w we're gonna |
|
38:14 | about that. Next one of the things we're gonna do. Uh Next |
|
38:18 | we're gonna talk about uh permeability indicators pay zone indicators, the gamma ray |
|
38:24 | the SP and from the SP, can get RW, so we can |
|
38:29 | RW from a nearby wet zone from SP log. If we're lucky, |
|
38:34 | , from a water catalog or somehow can measure water, we oftentimes will |
|
38:40 | a core which we're experts on. have limited invasion in that core. |
|
38:45 | we can actually drill plugs from the of it and spin them in centrifuges |
|
38:50 | attempt to water and measure it. you have a lot of corn, |
|
38:56 | relatively un invaded. That's a plausible and a reasonable thing to try |
|
39:03 | just try that in swells in Alaska , we're gonna get from deep resistivity |
|
39:10 | . We'll understand that uh when we to resistivity logs, ferocity will get |
|
39:16 | logs which right after we do the indicators, density neutron and acoustic |
|
39:22 | So we're gonna talk about the rest this course. They may be way |
|
39:26 | the end which, where, where well talk about uh the NMR |
|
39:32 | I didn't cover it in the other . We're gonna cover it in more |
|
39:36 | later. Uh We'll see that's another to get process which they are, |
|
39:42 | was relatively dependent, not as much they claim. So we're all |
|
39:49 | That's basically what we're gonna do. . And then one, they have |
|
39:55 | access to that text or not. I do have it. I, |
|
39:58 | have a digital copy with if you it. It's a reason that text |
|
40:03 | a reasonable read. It's an easy . The only problem I have with |
|
40:08 | , it was written by an ex guy. So it's very heavily weighted |
|
40:13 | its log, doesn't give it for due in terms of calibrating the |
|
40:19 | As long as you understand that it's and still pretty valid. Getting a |
|
40:27 | old, uh, this, I I threw in because Archie's equation it |
|
40:34 | derived empirically. So that absolutely Archie brothers had just initially this was right |
|
40:41 | the war, right? And they World War Two and, and they |
|
40:45 | measuring resistivity. It's been a bunch wars since, right? So, |
|
40:51 | I would even say that. Uh so they uh so they were measuring |
|
40:59 | in well bores. He went through they had, they had the logs |
|
41:03 | the number of wells with the he was plotting up the resistivity versus |
|
41:08 | . So he empirically got this log plot, right, a reasonable correlation |
|
41:14 | however, you can start from Maxwells . Not sure if you know what |
|
41:20 | are. They were developed in the 18 hundreds to explain right? Radio |
|
41:26 | and things like that, put that together. You can start with Maxwell |
|
41:30 | and you can derive Archie's equation under known as an effective medium. Uh |
|
41:38 | include it because I love effective medium . They uh it's another way to |
|
41:44 | above and beyond the way we've averaged in 3d. One way to think |
|
41:49 | it, it's better than series and models. You could build models that |
|
41:55 | between series and parallel, right. hydrocarbons in place. So this is |
|
42:02 | volumetric notice the D times an oil , does that immediately tell you this |
|
42:15 | the amount of water per bulk Yeah. So it's P minus PSW |
|
42:25 | or one minus SW is so pso volume of water per volume. So |
|
42:33 | multiply times the height of thickness of formation, times its aerial extent, |
|
42:38 | get a volume. So we get absolute bought barrels of oil. Everybody |
|
42:44 | that BS W parts in particular comes all the time. This is just |
|
42:55 | from barrels right from a saturation for . He is in and A as |
|
43:01 | acres, not my phone. So gets you the barrels of oil and |
|
43:10 | gas is obviously the same thing. it has to be a reso |
|
43:17 | There is a correction to get that the surface, right? There is |
|
43:21 | volume extension. You actually have to that with oil too. This would |
|
43:26 | valid in the subsurface. Typically your it would evaluate under reservoir conditions. |
|
43:32 | this would be the number of barrels as in situ right, they take |
|
43:37 | to the surface. The oil right on the gas oil ratio but you |
|
43:43 | the oil down to actually ring, . All OK. And this is |
|
43:54 | we get it to the surface, gas. So we're 60. You |
|
43:59 | be asking yourself that's how we convert absolute temperature, right to basically uh |
|
44:09 | at breeze rank and it's an absolute , it breathes Fahrenheit. So it's |
|
44:15 | 60 plus degrees Fahrenheit is an absolute pain. So we're 60 plus 60 |
|
44:23 | 5 20. I think this is temperature place. This is my reservoir |
|
44:30 | . 14.7. What exam is very ? 14.7 P si that's why you |
|
44:40 | live here. And then this is reservoir temperature. This is my, |
|
44:47 | is my uh direction from an ideal , right? The factor it could |
|
44:53 | through but I have to give up things otherwise, yeah, you wanna |
|
45:01 | through my petro food course, talk that quite a bit. So that's |
|
45:05 | an expression of the fact that in particular methane, whatever they are |
|
45:10 | ideal gasses. So you have to the ideal gas off. Otherwise we're |
|
45:17 | the ideal gas log to see who be one. Yeah, but the |
|
45:23 | factor and again, BS W et cetera, right? And then |
|
45:32 | you wanna book reserves, which a of executives at Shell got fired for |
|
45:39 | CO2 is not the same. It's , by the way, basically about |
|
45:46 | that's not the first people to do book CO2 as a reserve. It's |
|
45:53 | worth much, right? So uh have to have a recovery there. |
|
45:59 | what percentage in the gulf? For , what percentage of the oil that |
|
46:03 | recover? 10%? 50%? Which of those three we can |
|
46:16 | I'd love to have it be Yeah, the middle ones better |
|
46:22 | Right. Give or take half of . Part of it is because you |
|
46:27 | oil behind through those snap off They talk about part of that just |
|
46:32 | you bypass a whole bunch of oil have all kinds of length scales. |
|
46:39 | by the way, right, it's four system as you get bigger and |
|
46:43 | volumes run into more and more length . So it's quite easy. Uh |
|
46:49 | when we produce, we, we wells in the Gulf, we have |
|
46:54 | tags in the casing, we would some of the tags come together, |
|
46:59 | tags come apart. Then you look later, these tags that were actually |
|
47:03 | apart, you'd come back together, once it, but you produce reservoirs |
|
47:13 | a very non uniform way. Probably familiar with that already. We're OK |
|
47:21 | how we do it. Now, gonna go through a hypothetical problem. |
|
47:26 | going to uh show you basically uh we uh basic idea behind using |
|
47:39 | And I'm gonna tell you enough, enough to make you really dangerous. |
|
47:44 | Then we'll spend most of the rest this course kind of getting a better |
|
47:49 | of how to actually get more right? I I thought it was |
|
47:56 | actually just go through the kind of scheme, how do you use reactivity |
|
48:01 | calculate evaluate parameters? We will do called a quick look exercise. We |
|
48:09 | enough tools to do this and actually of go through getting, using just |
|
48:15 | to get the parameters and Archie All right. So what are we |
|
48:22 | do? This is basically, I the order we're gonna go in, |
|
48:27 | , we will uh detect permeable What we mean is reservoir versus non |
|
48:35 | I don't mean you can use the ray to tell this formation is 10.67 |
|
48:43 | ? Or no, it will tell , is it a possible reservoir or |
|
48:50 | a possible, we need to be to tell shales from sand sort thing |
|
48:56 | the gamma, right? Tell right? They won't tell us any |
|
49:00 | from SP is, is why spontaneous law. But that stands for, |
|
49:09 | ? And then a resistivity log uh gonna look at two Dutch or la |
|
49:16 | common in use. And then how we give choosy? We have three |
|
49:21 | velocity logs, density neutron acoustic kind in order of increasing f complexity to |
|
49:28 | in that direction. And so, we'll talk about how they make the |
|
49:33 | , right? What exactly they're Uh How do we interpret them in |
|
49:38 | of velocity main difference here, I use resistivity to saturations. And why |
|
49:45 | that? Because oil doesn't conduct, , what these logs measure is approximately |
|
49:51 | same for oil and water. So cannot be used quantitatively to get a |
|
49:58 | from. Yeah. So what they you is basically how much rock versus |
|
50:06 | space you have. It's actually probably good thing. And so we need |
|
50:12 | , we need to determine where are , our producing zones and then |
|
50:17 | right? Money. Everybody understand what set to do here. What we |
|
50:23 | do. How often do we take for an hour in? I like |
|
50:35 | go an hour and a half. shorter breaks maybe get out a little |
|
50:40 | . I I find that people's attention don't go much past an hour and |
|
50:44 | half. So, but I can , push you for an hour and |
|
50:48 | half. All right. OK. what other methods can we use to |
|
50:57 | producing zones? Saturations just did an last Saturday. Why did we call |
|
51:12 | all kinds of ideas for a midterm ? Saturation hide modeling that allowed us |
|
51:20 | get volumes, right? So cuttings and tests just to locate where oil |
|
51:28 | . Uh we didn't spend a long on mudd logging, but one of |
|
51:32 | main uses one of, in my opinion, just because the quality of |
|
51:36 | rock you get is so bad, post, right? Uh Bits went |
|
51:42 | and all we have is P Bits, right? We looked at |
|
51:46 | grinding the stuff with dust, but still can see oil in the |
|
51:51 | right? So you still can see as long as you're sure it's |
|
51:56 | you know, uh it's not type or something like that. This is |
|
52:00 | exciting stuff. There is some oil , right? So that's actually quite |
|
52:06 | . A lot of the reason people mud wine still, it, it's |
|
52:11 | so tough to get actual real quantitative out of cutting, people still will |
|
52:16 | to sell you that stuff. you know, enough to ask them |
|
52:19 | right questions at this point. It's of the reasons we went through. |
|
52:25 | the quality of the core and the types of corn? And then this |
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52:32 | the cap of pressure curves. This what I was referring to saturation Hyde |
|
52:36 | by the way, these things that up in orange are tension. People |
|
52:41 | complaining you're not supposed to have this your notes, sometimes they sneak |
|
52:47 | but you're supposed to take the notes least, right? I went through |
|
52:53 | diatribe about learning the three techniques you . One of them is writing, |
|
53:00 | ? I know I show my age back in the good old days, |
|
53:03 | didn't even have power points, We had to write everything down. |
|
53:09 | what other we can use cuttings, could use cores we can use and |
|
53:13 | I would include in this kind of animal you can get. So here |
|
53:22 | an idealized log set. So what means usually to get to this |
|
53:27 | this would be, for example, , OK. So it wouldn't be |
|
53:32 | , wouldn't be a measurement from an log. We would actually use these |
|
53:37 | logs to get to our team. that would be our team velocity would |
|
53:43 | . This would mean that we basically whatever knowledge we had to exclude lithic |
|
53:50 | or whether it's a limestone dola or will affect the ferocity logs. So |
|
53:55 | have gone through the trouble to remove effects and we have what we think |
|
54:00 | a real lithen process and I would here and here is just Rezo versus |
|
54:10 | what we need like this gamma ray , right? Nor sp do not |
|
54:16 | you what the permeability is but who you they can tell you that is |
|
54:22 | to you, right? So understand data we have. So we have |
|
54:29 | permeability indicator resistivity porosity through these three . So these are my porosity |
|
54:37 | So first thing we want to talk and pick one of the exercises how |
|
54:42 | gonna do in class is the zoning squaring that isn't printed out. We |
|
54:48 | to print it out. I think should be. So we're gonna do |
|
54:51 | together because there seems to be some about zoning and squaring. So what |
|
54:57 | I mean by that? There are big rules for this that we will |
|
55:03 | through All right. And uh one them, we're gonna try to pick |
|
55:08 | boundaries here, right. So where we pick those bed boundaries is at |
|
55:14 | points on the log? So you the slope basically increasing and then it |
|
55:22 | when that second derivative is zero, called an inflection point. And that |
|
55:27 | the bed boundary for all logs that are picked at inflection points that just |
|
55:36 | to do, draw a picture here you want. But why that is |
|
55:43 | I in it better? Not very at this. And so we have |
|
56:02 | borehole, I something a borehole that a pretty accurate. And I |
|
56:13 | I have a bad balance here right . Now, I have a logging |
|
56:21 | here on wire line initially started down . This is my tool. |
|
56:30 | The tool has a certain sensitivity to as we pull this up hole as |
|
56:36 | approach this bed boundary to get up here, my tool response is gonna |
|
56:41 | to pick up, right. So will start to get a response and |
|
56:45 | pick the tool up a little And what's gonna happen here is I |
|
56:51 | my maximum, right? I I reached the point where as my tool |
|
56:57 | up, my tool response will actually increasing and its sensitivity will be |
|
57:05 | And so that will be as we pick this one, we will be |
|
57:10 | when I'm at this, when I'm what's gonna happen is my rate of |
|
57:14 | will still increase as I pull my up further, but it will increase |
|
57:20 | slowly because I already a part of tool there. And once I am |
|
57:24 | in the bed, it doesn't change . So this is all about as |
|
57:30 | approach that boundary, my tool response get to that boundary will get bigger |
|
57:35 | bigger. When I'm centered on it will no longer my rate of |
|
57:40 | will now go to zero and my of increase will actually now get smaller |
|
57:45 | smaller. OK. So always, for every tool we talk about |
|
57:53 | this bed boundary is at that OK. Pretty easy to remember |
|
58:04 | And um must have gone more by that one, that one change back |
|
58:30 | my other point. Next rule is is lumpers or splitters. There's some |
|
58:46 | of flexibility here but you, you , you use the logs that affect |
|
58:55 | calculation to pick your bed bound. so I'm using Archie's equation, |
|
59:01 | I'm gonna use resistivity. I'm gonna velocity. Would I use my permeability |
|
59:08 | ? No, because they don't, don't go into the calculation. These |
|
59:13 | all gonna be off depth a little . So I have enough compromises to |
|
59:18 | , I would pick my bed boundary on these two, I would not |
|
59:22 | my gamma away, fair enough and kind of one of the sections of |
|
59:31 | . But, but you actually, pick your bed boundaries where it affects |
|
59:36 | calculation. So that means for let's indicate, yeah, but |
|
59:43 | when something changes, right? So would pick a bed boundary here. |
|
59:48 | have to pick a bed boundary here my resistivity is changing and I have |
|
59:53 | pick a bed boundary here to go to the and the broken. So |
|
60:22 | would pick a bed boundary at the of inflection here. I would do |
|
60:27 | best and sometimes to compromise here, would have to pick a bed boundary |
|
60:33 | . Yeah, even though this one changing because my calculation will change, |
|
60:40 | have to pick a bed boundary there I have to pick the exact boundary |
|
60:46 | , right? But my porosity changed though my resistivity really didn't. |
|
60:52 | So everywhere my calculation changes, I to take the bed boundary. This |
|
60:57 | here, one here, I would one here, one here. So |
|
61:13 | can see he's already been labeled, have zone abc and indeed, |
|
61:24 | everybody see how I got those and have it with zoning. That's the |
|
61:29 | part two little associated with it and the squaring part. OK? |
|
61:35 | what do you mean by that is value do I get? OK. |
|
61:43 | always pick it and the maximum development the law. So I would do |
|
61:48 | there there just that I would go there that year. I was here |
|
62:04 | . Yeah. Yeah. Yeah. , it was meant to be a |
|
62:15 | line here, right? So at maximum development of the log in either |
|
62:23 | , what the tool is reading at points. Uh why do we pick |
|
62:27 | maximum development of the log? Because the closest to the correct answer, |
|
62:38 | bed may be thin enough. And would be a good example up |
|
62:43 | right? This would be a good that the true value may be out |
|
62:52 | somewhere because with a fairly thin but I then I'm gonna make a |
|
62:58 | what's called a thin bed correction for that would be based on the thickness |
|
63:03 | , of the, of the And what my maximum development of the |
|
63:07 | would tell me how to shift that this class. And I could go |
|
63:12 | that level of analyze the blog a of times it's done automatically for you |
|
63:18 | you're using log, whatever, but pick the maximum development log. It's |
|
63:24 | closest to the rating. So the rules are collection points only, only |
|
63:34 | bed boundaries where it affects your calculation then maximum development of block, not |
|
63:40 | hard, you know, I could this, but you notice this was |
|
63:46 | involved at all. But gamma ray a little bit different by the |
|
63:51 | because gamma ray, this doesn't look a gamma ray. The gamma ray |
|
63:55 | statistically has so much statistics in it you actually don't pick it at the |
|
64:01 | development. But you average over the gamma ray is the only tool that |
|
64:05 | you would do that. There's a and I'll talk about it again when |
|
64:10 | specifically talk about gambling. Right? why you calling me a liar? |
|
64:24 | our, so our zero, we , we don't know yet because what |
|
64:31 | are picking is our tea and, RT is only equal to R |
|
64:37 | If there's no oil, we're all ? With what we did, how |
|
64:45 | zoned and squared the log and we do an exercise in class, you |
|
64:51 | , I wander around and in a log, it might be a little |
|
64:54 | confusing. All right, what's How do we evaluate this? |
|
65:09 | And it's just right, just pointing my reservoir indicator, my resistivity |
|
65:15 | right? I use this log, is here and I brought you |
|
65:21 | All right. So if we look this, where is our possible reservoir |
|
65:30 | we'll go through this in more the principle that this is the either |
|
65:35 | gamma ray or SP it's designed to this way. But this would be |
|
65:39 | gamma ray, low gamma ray. this would be shale sand, |
|
65:44 | sand, shale sand, right? that would be, and you're probably |
|
65:50 | with that. This SP is plotted the same way even though they scales |
|
65:57 | to make it look like. So we'll just assume it's a |
|
66:03 | So it's clear where, right. roughly agrees with our zone here where |
|
66:08 | sands are led, right? So have basically 1234 zones that we're gonna |
|
66:15 | to value. Yeah. How would do it? What would you |
|
66:24 | You're experts on saturation pipe modeling, ? I have here. I have |
|
66:32 | constant porosity, give or take my is changing. Why, what would |
|
66:38 | your guess as saturation height models? sorry, what? Absolutely. That's |
|
66:49 | , we're actually we've been either lucky or unlucky enough to encounter a transition |
|
66:55 | , right? So we move down on the cab curve, our water |
|
66:59 | picks up as we move down. my resistivity drops. Yeah. So |
|
67:06 | would, for example, my my displacement pressure would be, where would |
|
67:11 | 100% water level be? So I have 100% water up to here. |
|
67:21 | would be my entry pressure for my curve. My oil saturation would be |
|
67:26 | up here, right? And this that boundary basically averaging in the |
|
67:31 | right? So my actual volume, it would be based on a squared |
|
67:37 | . But since you're saturation height can you see the power at combining |
|
67:43 | two techniques? Right? This is idea you're really going to call yourself |
|
67:49 | who evaluates formation, right? And just a log analyst. So there's |
|
67:55 | wrong with being a log analyst, ? But the power is tremendous power |
|
68:00 | combining those two techniques and the insight give you as to what's going on |
|
68:05 | a rear. So what does that ? I can do if I know |
|
68:08 | is 100% water saturated? Let me your question. Right. And we're |
|
68:14 | RO here and we're gonna measure RT , right? So that's the way |
|
68:22 | would start given that interpretation, So we located the can be located |
|
68:28 | ? The Perles zones, I guess can call this CS P. Didn't |
|
68:32 | noisy enough, right? We got zone of ABC and D. We |
|
68:38 | our shale boundary and then we start in our bed boundaries, which I |
|
68:46 | interestingly enough. They agreed with Yeah. So at the inflection |
|
68:52 | just like I talked about um then gonna pick our right, we're gonna |
|
68:59 | the resistivity curves. So we, have a pretty good interpretation for what |
|
69:04 | is. Yeah. However, we high resistivity here. We have low |
|
69:10 | here. Is this due to oil is this due to water? Are |
|
69:16 | things can change in Archie's equation change activity, the porosity or the |
|
69:23 | One way to think of Archie's equation it allows you to quantitatively differentiate velocity |
|
69:32 | from saturation change. So you can what happened. My porosity dropped uh |
|
69:40 | this zone that's gonna cause my resistivity increase, but there still could be |
|
69:46 | there. Huh? So we don't . So this is the main thing |
|
69:53 | gonna figure out down here. I have the same porosity as |
|
69:58 | but a much lower resistivity than So, again, I would talk |
|
70:02 | the geologist, right? Is this the same ology as this geologist is |
|
70:08 | tell me, I guess. So that gives me a pretty strong |
|
70:13 | to interpret. This is G and resistivity is the same as Peter, |
|
70:18 | ? That gives me a real clue to what's going on here, |
|
70:21 | Because of water saturated, plus, way below what I think my transitions |
|
70:27 | , is it possible to have oil water? You could have a barrier |
|
70:38 | between the two, a separate source charging to the two. So you |
|
70:43 | indeed have oil. It happens all time. It's called called perch water |
|
70:48 | . OK. Uh You could have above oil saturation. So miss a |
|
70:55 | of oil if I, if you're aware of that, right? But |
|
70:59 | still don't know what this is, ? We can make guesses about |
|
71:04 | this particular if I've cut a core all of this. And I have |
|
71:08 | idea right? Of what the rocks or even if I had side walls |
|
71:13 | even cutting nail, I think this looks a lot like this. That |
|
71:17 | be a big clue. So I would ask, well, why is |
|
71:22 | ferocity changing right? From this 30% I would ask the geologist, |
|
71:29 | That would give me a good idea the ferocity can handle it or whether |
|
71:33 | need an oil saturation change too to that increase this resistivity is higher than |
|
71:41 | . So if you were just basing on the, on the activity log |
|
71:46 | would complete this. Right? If had no other information that happens quite |
|
71:52 | bit more often, it should, don't run ferocity on when they do |
|
72:00 | . They are claiming they understand what changes quite well. All right. |
|
72:06 | we're OK on what we're gonna try do. So up here at the |
|
72:11 | where we square right at the max development, then we want to differentiate |
|
72:19 | from porosity chain, saturation chain. where we don't know exactly is here |
|
72:27 | a zone A versus C. So gonna calculate water saturations to figure that |
|
72:33 | , right? So we're gonna calculate zone a his own and squared |
|
72:41 | And I can't draw lines that and notice here, people complain about |
|
72:46 | It's obviously not at the inflection but table stretch, things like |
|
72:53 | All of these are detailed you get with, right? Your tool sticks |
|
72:57 | little bit, you stretch the you do your best, put everything |
|
73:01 | for that, things like that, everything on depth. But probably the |
|
73:06 | of the time you spend saturation, the reservoirs about getting the logs on |
|
73:13 | and correcting for things like that. deep, you know, if you |
|
73:19 | fun. So how would we do ? I guess we're gonna use uh |
|
73:24 | equals N equals two. Don't need know it's here, but we can |
|
73:28 | Archie's equation. We're gonna assume that water contact green zones A and |
|
73:34 | Just like we talked about, we're saturation height modelers and it makes a |
|
73:38 | of sense. Right. Ask the , they don't see a lithograph change |
|
73:44 | . So I get them on board really good reason to be talking to |
|
73:47 | geologist because then when you get it , you both could be blamed, |
|
73:52 | ? It's not just you sticking your out all by yourself, right? |
|
73:57 | good a reason as any get as people involved, right? All |
|
74:02 | So we go ahead and do that of the batteries. Yeah, somebody |
|
74:08 | me it was relatively shay and very calculation. I send all my properties |
|
74:13 | the same thing. He uh can take the square root of the relativity |
|
74:18 | . And that's like magic, Simply take the square root of the |
|
74:24 | the ratio of those resistivity. Given assumption the li is the same and |
|
74:30 | pops the saturation. What could be than that? What assumptions that we |
|
74:42 | my porosity was constant, which is good. We got that from the |
|
74:46 | . We did assume the m was . That's why I talked to the |
|
74:50 | did that all cancel out and then was equal to two. That's the |
|
74:56 | root I have in the calculation is to that. And then RW didn't |
|
75:01 | . It is not uncommon for particularly you have a significant depth change. |
|
75:08 | not uncommon for RW to go down go increasing depth. So sometimes you're |
|
75:15 | to include that in the calculation a of times you don't have enough data |
|
75:20 | do that, right. So we OK with what we did, this |
|
75:28 | pretty easy, right? This would us a saturation that gee if we |
|
75:33 | some idea what the cap curve we could validate what the saturation we |
|
75:38 | getting. This would give us an in some sense, particularly here because |
|
75:44 | are in a transition zone, we know where the we would know where |
|
75:48 | 100% water level is. If we a cap curve, that would give |
|
75:52 | an idea where the free water level . And so we could start to |
|
75:56 | by combining this, we could start build a saturation height model along with |
|
76:02 | , that we have an idea here move it to the next weld or |
|
76:06 | either moving up or down on the , what's gonna happen to us. |
|
76:10 | at least we would have an ability predict as we moved away from that |
|
76:14 | weld. Yeah. Starts to get powerful, I would say cool. |
|
76:24 | right. Now, zone C like mentioned, we can't do this but |
|
76:30 | is a pretty good thought that when we go, like I mentioned |
|
76:34 | here, this looks a lot like . I resistivity is quite a bit |
|
76:39 | . So, and, and comparable here. So I have a pretty |
|
76:44 | idea that should allow me right? get using that, that value |
|
76:50 | Ferocity to get an RW that should me to calculate what's going on |
|
76:54 | Right. My RW is the same is here and it's pretty good. |
|
76:59 | , it's the same. Yeah. so that's what we would do. |
|
77:07 | the C right. So we could a saturation simply by taking the ratio |
|
77:13 | the RW, we calculate right. my RT I measure there and I |
|
77:19 | RWII I could solve this. I'm , we you could solve this for |
|
77:23 | RW is if I know what my saturation is that is one. So |
|
77:34 | you have to do that at the temperature. But for zone C I |
|
77:40 | go through and calculate what my, what zone C was that high |
|
77:45 | low porosity spike at 7% porosity right? C I would say |
|
77:52 | then you can calculate this, you're get a water saturation of one. |
|
77:56 | the resistivity in that zone is fully for by the porosity change. Then |
|
78:05 | I use that RW that I calculated ? And I could directly calculate a |
|
78:10 | Archie's equation and I get close enough Petros right to the same number. |
|
78:17 | that a reasonable residual water saturation? gives me another idea about my cap |
|
78:25 | . Right. What my residual water is I find the cap curve. |
|
78:31 | . So I have a pretty good . I have my 100% water |
|
78:35 | So I have my entry pressure, have my residual water saturation. I |
|
78:39 | my other half and coat and then have some idea based on the |
|
78:43 | what the sorting is, porosity is good. But I can make a |
|
78:47 | good guess on the shape of the cap and where my, where my |
|
78:53 | water level is. I would ever it a pretty good idea because I |
|
78:57 | a transition zone to model and then can do volumes just like we could |
|
79:04 | the volumes before. Yeah, and could get economics, right? So |
|
79:10 | equations we generated last time, what number of barrels of oil are given |
|
79:18 | section. And sometimes when I've given lecture that's been pretty high compared to |
|
79:23 | the price of oil is. Good is. It's fairly low for |
|
79:27 | right? So you can calculate whether should, if it was gas, |
|
79:33 | would go to the separate calculation, worth a lot less by the way |
|
79:38 | gas. So this is uh we'll a break after this. So this |
|
79:43 | the final thing that I want to . We talk about this a little |
|
79:47 | . What we did, we assumed knew the resistivity out here, |
|
79:52 | Uh And we assumed we knew the here. And so all of this |
|
79:57 | complex situation, right? We somehow have to figure out and we're gonna |
|
80:03 | a fair amount of time through the of the course, trying to determine |
|
80:07 | the diameter of evasion is, what blush zone resistivity is or could even |
|
80:13 | a stab at what the blush blush saturation is and then what the diameter |
|
80:18 | evasion is, right? We're gonna mud cake thickness and things like |
|
80:23 | So some of this is notation you see an X in it means |
|
80:27 | flush zone. So Sxorxo, it's zone, uh resistivity of the mud |
|
80:34 | is gonna matter some cases. Uh just that correction, as I mentioned |
|
80:39 | little bit, we really need to RT, we really need to get |
|
80:44 | we really wanna calculate SW. So where we are. So basic idea |
|
80:51 | that kind of the thought process you through and you evaluate a reservoir and |
|
80:57 | uh I don't know whether this excites or not, but a lot of |
|
81:00 | rest of the course is about filling some of the detail. And how |
|
81:03 | I really get the right numbers to go through this thought process? What |
|
81:10 | be more fun? Right? I we're done. It's time to take |
|
81:24 | break, saturation height model. Oh gonna go ahead and do that |
|
81:38 | It wasn't a bad idea to do in the order. We did it |
|
81:41 | . It, given what I'm gonna . So, we have a hypothetical |
|
81:46 | here. We're gonna drill uh five . Um We're gonna look at the |
|
81:52 | of this. Well, so the wall is much like that first. |
|
81:58 | , we found we have oil, have a transition zone and we have |
|
82:02 | water like at least the top of , right? So you drill this |
|
82:05 | , everybody's all excited, right? all excited. You have a |
|
82:09 | you have oil saturation, right? your boss comes to you and |
|
82:13 | well, gee what are my What do you expect? And based |
|
82:18 | talking to the geologist, right? understand the structure and the geophysicist, |
|
82:24 | understand where on the structure you you understand, saw the free water |
|
82:28 | , which is here cursing you you have once reminded and show the |
|
82:38 | . So we, we have a water level here, right? We |
|
82:41 | 100% water level here and then we a critical water saturation here. So |
|
82:47 | only bring the oil up here and is what we got. So we're |
|
82:51 | excited, right? You know, fairly low on the structure. So |
|
82:54 | boss says, gee uh should I this other well up dip? You're |
|
82:58 | find any more oil. And what you say? Expert saturation height |
|
83:06 | What do you do? How do make that decision? Come on. |
|
83:15 | the geologist, you're the one you're go to. You're the one who |
|
83:18 | to answer this question. Should I this next? Well, gonna move |
|
83:28 | here. I, I found oil . I found the transition zone here |
|
83:36 | I'm gonna drill this well, of structure. You're the geologist. You |
|
83:47 | it's a fairly homogeneous reservoir? Well, yeah, sure. I'm |
|
83:54 | drill anywhere. I'm gonna drill So that's what you'd say. |
|
83:57 | Ok. The guy said great. let's drill it. We invest the |
|
84:01 | million to drill it, lo and , you were right. Right. |
|
84:04 | , all kinds of money moved up life is good, making it. |
|
84:08 | he said, should I keep going up yet? What questions do you |
|
84:16 | a geologist to answer the question? do you say? I need to |
|
84:21 | ? Yeah. What's the structure? . But my depositional setting, |
|
84:28 | I would want to know. Well. Right. Are we gonna |
|
84:35 | into the, are we gonna run the, our seal? For |
|
84:40 | where are we? Is that what said? Yeah, sure. We |
|
84:46 | want to penetrate the gas pump. would be a bad idea. |
|
84:50 | Again, producing gas, all we is blow down the reservoir, uh |
|
84:55 | a lot of money. Ok. your answer is, yeah, we're |
|
84:59 | from the gas cap, right? gas cap, et cetera. So |
|
85:05 | go ahead and drill the well, do we find water everywhere? |
|
85:16 | what do you do now? He , gee, I lost a lot |
|
85:22 | almony on his lab. Well, . Can you do this to me |
|
85:25 | or are we looking for a new ? You know? So what do |
|
85:29 | , what, what do you ask anything? Just roll the dice. |
|
85:39 | did you do wrong? According to elementary saturation I modeling, this shouldn't |
|
85:47 | happened to you, right? But could have been possibility this perch water |
|
85:53 | we talked about before? One What other possibilities would there be that |
|
86:00 | happened to you? What are you guess? He needs an answer, |
|
86:12 | ? He says, I need the today. I got a drilling schedule |
|
86:17 | you, right? Look for a job. So you, you would |
|
86:31 | your best to answer a lot of geologic questions we've already asked, |
|
86:35 | So what are the possibilities? How went wrong once you got a different |
|
86:40 | ? You're on a different chapter, ? The possibility, right? So |
|
86:44 | kind of rock would this, would have been more permeable or less permeable |
|
86:49 | ? You random thing? I would asking for somebody to go into |
|
86:57 | Well, for example, and shoot sidewalks and think, right? So |
|
87:01 | have some idea what happened to right? You need more data. |
|
87:05 | first thing I would say to right? So our understanding of our |
|
87:10 | of something was not where it needed be. This cost us a lot |
|
87:14 | money. So gee we need to , we need to understand the geology |
|
87:19 | lot better. So, so you in and you shoot some percussion |
|
87:23 | what might you find the questions are good enough to answer the question. |
|
87:29 | might you find, what would cause , how would your cap curve have |
|
87:41 | ? For example, if you had much higher entry pressure, right? |
|
87:46 | displacement pressure, your 100% water level a lot higher. If you had |
|
87:50 | tighter rock, right, then you have enough column height here to get |
|
87:54 | this rock, whereas you would have better rock down hole. So |
|
87:59 | we had been shooting percussion side walls here, a view of them or |
|
88:05 | examining cuttings where we could get them to have some idea what our rock |
|
88:10 | , some idea what our grain site , right? And then we went |
|
88:14 | here and we found, gee we we had a much more cemented, |
|
88:18 | ? Much more cemented. Li we tell that from our drilling rates, |
|
88:22 | kinds of things could enter into So I'd be looking into all that |
|
88:26 | of data, right? Did my change. And so what you find |
|
88:31 | that the rock type did change, was tighter, it was more |
|
88:36 | Yeah. So then what are you say? And I'm still not near |
|
88:40 | top of the structure. I don't I'm near a gas cap like you |
|
88:45 | . But what are you gonna Probably you drill it, right. |
|
88:52 | , everything looks like g particularly. what do you find? You find |
|
88:57 | but oil there, right? Everything good. And you're a hero |
|
89:01 | right. Made a lot of You drill a well too. |
|
89:06 | This is where right there is an . So the whole point is clearly |
|
89:12 | have to study our cap curve a better or you'd be able to answer |
|
89:16 | of these questions. I was asking , what question do I need to |
|
89:20 | ? What do I need to The big thing you did? Ferocity |
|
89:24 | changed as well. Maybe you didn't run any ferocity lot here. You |
|
89:29 | feeling so good about yourself, So I I would have gone in |
|
89:34 | once you found this and tried to out why what happened, what changed |
|
89:39 | between here and here. Why did ferocity change and why did my rocks |
|
89:46 | ? What happened cause that? And then this, this for example, |
|
89:50 | have been some sort of locally cemented , right? Or something like |
|
89:55 | that you would struggle to understand, ? Or even a sorting change, |
|
90:00 | ? Happened here. Such of my pressure was a lot higher here and |
|
90:04 | in the transition zone. So we right? There is some oil |
|
90:08 | right? That's what the purple Right. We're in the transition |
|
90:12 | But so a sorting change could have . It changed here. Right. |
|
90:17 | have been that we had penetrated a sand here that we expected it to |
|
90:22 | fairly local. We got it here this is like over bank or |
|
90:26 | right. Lots of clay, And we figure, right, depending |
|
90:31 | where we are or right on the , et cetera might lead you to |
|
90:37 | to understand, right? What would if I move further up again? |
|
90:41 | . So all of the geology is gives me information on this length scale |
|
90:46 | why I like talking to geologists. the ones with the answer on this |
|
90:51 | scale. You know, that was main thing I wanted to talk |
|
90:57 | So here's just a picture of what happened. Yeah. Had some other |
|
91:03 | type, right? And he drove , well, it was a poor |
|
91:10 | and again, there's a relationship between of these, once you understand this |
|
91:15 | spend some time with these curves, cap curves, understanding how cap curves |
|
91:20 | to permeability, how they relate to saturation and the relationship between porosity changes |
|
91:28 | how that impacts cap curves. All those things tie in with each |
|
91:33 | So it s you to put that together, right? Where am I |
|
91:39 | my oil i entering the corners of or building new poor systems, et |
|
91:44 | . But I'm doing all of that might have even more. And then |
|
91:53 | is a point I guess I haven't this class, but I think this |
|
91:57 | quite an important point. If I at this porosity versus permeability, uh |
|
92:03 | steep are these curves? Notice this a log scale, typical uncertainty bros |
|
92:09 | , maybe, you know, I know, five pu units. That's |
|
92:13 | possible if I'm moving that far, far up and down the permeability might |
|
92:17 | go? How good a predictor is for permeability? People correlate it all |
|
92:26 | time that you'd better be awfully sure what you're doing given that level of |
|
92:32 | . That's why permeability you struggle with in every red, right? How |
|
92:37 | I predict permeability? It's because he out R squared, it goes like |
|
92:44 | of the fourth where the dependence of flow and two. So these |
|
92:49 | you've got that going on as well you have changes in tortuosity, possibly |
|
92:55 | quite easily to get 34 orders of firm. But then a vero happens |
|
93:00 | the time. These are not So your predictive capability vero is like |
|
93:09 | why? That's why we'll talk about because curves are typically that speed. |
|
93:15 | another example of that and this, is even what makes your life even |
|
93:21 | miserable is even such things as clay can have a huge impact on. |
|
93:27 | show you these already. So what this is meant to be is we |
|
93:34 | four bridging plays here. And I you, I think fibril lights, |
|
93:39 | would be an example of that or claves grow the top floor space. |
|
93:44 | would be core lining clays like a coating of the four walls. And |
|
93:50 | this would be structural clays. So structure plays hardly impact permeability, get |
|
93:57 | blown, we line it with we have a lot of ineffective velocity |
|
94:02 | permeability. And for bridging clay is gonna end your world. So this |
|
94:07 | why it's so important to understand what of clay you have, how much |
|
94:11 | you have, right? Uh what distribution to understand for bridge and clay |
|
94:17 | aiming to be, by the it's really easy when you make a |
|
94:21 | measurement to play those against the So people do what's called a critical |
|
94:26 | trying related to that or even just distribution. This was uh this was |
|
94:33 | relationship, this is a mere parameter . So, again, water saturation |
|
94:39 | porosity, it may just be following is basically the infinity. So this |
|
94:47 | follow a chapter that's just the idea a transition. So for example, |
|
94:53 | I have a sword and change or like that, I may be moving |
|
94:57 | effectively with a cap that curve looks . We talked about that the importance |
|
95:05 | looking at rocks again related to So we, we have basically doesn't |
|
95:10 | like a very good correlation here, much predictability between porosity and water |
|
95:17 | But G if, if I look the lithograph, one of these is |
|
95:20 | carbonate, the other is a plastic G I might be able to separate |
|
95:25 | , I might be able to get information from a log. So I |
|
95:29 | might be able to do by looking the rocks to be able to get |
|
95:32 | much better idea of what's going on rest for exaggeration. Again, water |
|
95:40 | versus per. So it's cool. makes sense. But as, as |
|
95:46 | , as my water saturation goes my permeability is going down. This |
|
95:51 | the dry air permeability. Why would water saturation go up? As my |
|
95:57 | went down in a water wet Where's the water wanna be in a |
|
96:10 | wet rock? It wants to be the small borders, more higher surface |
|
96:14 | , higher adhesion tension. So it's reasonable that as my, as my |
|
96:21 | went down, my pores get So my water saturation go up a |
|
96:31 | example. And then this one will about it. It's about the |
|
96:36 | You're not really, it didn't go the NMR, but we're gonna spend |
|
96:39 | time on the play. Don't worry that one that worth going through. |
|
96:51 | is the end of the last, was the last election. It was |
|
96:54 | end of it. It didn't go the end of it. We quit |
|
96:59 | you knew enough to do the And the idea is once you've done |
|
97:04 | exercise, you have a better feel saturation pipe bottling. So to kind |
|
97:09 | wrap up some of these conclusions, more sense to do after you've done |
|
97:14 | exercise, he wasn't feeling very Problem is I lost part of my |
|
98:10 | . Yeah. All right. So wrapped up saturation height modeling. Now |
|
98:17 | gonna go through permeable zone logs and uh we have the uh I think |
|
98:25 | the last lecture and then we have exercise we'll do at the end of |
|
98:29 | just about zoning and squaring logs end in sight. All right. So |
|
98:54 | s own logs and that's a bit a misnomer. It does not tell |
|
98:59 | the permeability fact. Sometimes it's a reservoir will be high gamma ray, |
|
99:07 | example, that's not unusual at all carbonates. So, uh we're gonna |
|
99:14 | through what we actually mean by this permeable zone logs better would be reservoir |
|
99:21 | logs, right? And that's gonna the SP and the gamma ray. |
|
99:25 | use those to pick out reservoirs, ? So it's the SP which is |
|
99:32 | electric log, a bit of an thing, quite a simple log. |
|
99:38 | And then the gaming almost always, presented in to the left of your |
|
99:44 | presentation. And then uh we will uh like all the tools we're gonna |
|
99:49 | about the physics of the tool interaction the hole, how we tell how |
|
99:54 | interpret our formations and then what the of surrounding zone is. And so |
|
100:01 | a look and see the statistics in gamma ray, right. Here's my |
|
100:06 | which doesn't have nearly the statistics. is why the exception to that rule |
|
100:11 | excellent development of the log one is are statistical on a gamma ray. |
|
100:17 | typically wouldn't make separate zones for each the right. The statistics you would |
|
100:23 | one line through the middle of it at the peak valley, right? |
|
100:29 | at most, you'd have two zones you had some other reasons, if |
|
100:33 | were, if you were going to sometimes the gamma ray goes into your |
|
100:39 | evaluation, particularly if you're doing like analysis or something like that, then |
|
100:45 | might want to include that in your , right? If you're not using |
|
100:49 | in your calculation don't zone based on . OK. With the gamma ray |
|
100:54 | that they basically this is high gamma , this is low, whereas this |
|
101:00 | high development of ESP this is low . So they deliberately flip those, |
|
101:05 | look like each other. Yeah. . Then we have our resistivity. |
|
101:10 | think it's somewhat clear, right? could see my right. Uh my |
|
101:17 | gamma ray is where my sands right. Have shale and sand sp |
|
101:25 | actually following fairly well talk about the of all these first thing we always |
|
101:33 | is draw in my shale baseline. , first line, I typically draw |
|
101:39 | can be tilted by the way, not unusual at all for my shas |
|
101:43 | get hotter if you go deeper in , if it's really a fairly large |
|
101:48 | interval. All right, that allows to differentiate right. Shale, |
|
101:54 | right, embedded, sand or a , fairly embedded, maybe, maybe |
|
102:02 | here. An A P really doesn't up much of this law, but |
|
102:08 | just wanna know San from shale, a basic my shale baseline on |
|
102:19 | So they are used to distinguish, , sometimes to distinguish uh shale from |
|
102:25 | shale. A lot of times they track each other. If you're |
|
102:31 | one of them will work and they related. Both of them respond to |
|
102:36 | clays. What happens is as you clays, the gamma ray will pick |
|
102:42 | , right. Typically the clays are than the sand, almost always. |
|
102:47 | VSP is actually suppressed by play by charges associated with the and SP you |
|
102:57 | use it. Uh You're making a of assumptions. It's not the best |
|
103:01 | to get an RW, but at it can give you some ballpark and |
|
103:07 | , we'll go through that calculation. first one we're gonna talk about is |
|
103:12 | SP it records a difference in the potential. So that's a voltage right |
|
103:19 | a fixed electrode at the surface or and then we just pull an electrode |
|
103:25 | the bore. This one's easy Right. I don't have a lot |
|
103:29 | geometry clearly. You have to have conductive. So, for example, |
|
103:34 | the Gulf we used to get SPS the time. We switched to |
|
103:39 | uh, to an oil based Don't get SPS anymore. Still get |
|
103:45 | . Right. It's scaled in millivolts does. It's in mili volts that |
|
103:51 | can drift quite a bit. You're just putting a shale baseline on it |
|
103:55 | and then measuring relative to that shale . Yeah. So there is no |
|
104:01 | . They're only looking for differences between it develops and where it. So |
|
104:09 | an example and a look, there several mechanisms. So this is the |
|
104:15 | behind the tool. We have an , we're pulling up the borehole, |
|
104:19 | ? It's relative, we're just measuring potential. It literally is just a |
|
104:25 | potential development being this electrode in the that we are choosing not to that |
|
104:34 | down. So the SP develops an like I say and increased amplitude is |
|
104:41 | game out of it. And then have a static sp and just the |
|
104:47 | measure and static sp is presumptive value would get in the absence of any |
|
104:56 | minerals. What happens is clay minerals the amplitude of this because claves have |
|
105:04 | negative charge which I think I mentioned this blast. That means the chloro |
|
105:09 | don't get through the this first play well through the clave very well. |
|
105:14 | you don't fully develop the sp. first rule of year um for the |
|
105:22 | is what does it measure and what measures my shield baseline. What it |
|
105:28 | is a salinity contrast. That's all measures, measures the salinity contrast between |
|
105:35 | mud filtrate and the formation water doesn't you an absolute measurement of RW give |
|
105:44 | a contrast between whatever my RMF is , what filtrate is and what my |
|
105:52 | water is. See how that might interesting. How do I get my |
|
105:58 | filtrate? Typically I have somebody measure if you ask them too, |
|
106:04 | Whoever the logging engineer is or the water, right? You actually ask |
|
106:09 | to measure what RMF is, will periodically and they take a sample of |
|
106:14 | mud, they put it in a and push out the water and they |
|
106:18 | them, you know what it is the surface, you know what it |
|
106:23 | at surface temperature, gonna compare a lot of measuring things and the |
|
106:31 | you need to raise the temperature. SP means it's actual reflection as in |
|
106:37 | cleanest rock. My static sp is kind of theoretical number I would get |
|
106:43 | there was no claim. So when try to attempt to measure an |
|
106:48 | I'm always doing that in my maximum SG. However, that is, |
|
106:55 | the closest to a non clay supress . So they're actually right, always |
|
107:03 | related to a salinity contrast, which what we're showing here. So this |
|
107:08 | typically gonna be uh again related, ? So the RMF versus RW, |
|
107:14 | measuring that contrast between those three gonna you the equation and you have two |
|
107:24 | of the SP one is there's a actual fluid flows next slide, |
|
107:32 | So we have high pressure, low and when I will blow if I |
|
107:38 | fluid, if I actually am for example, to the extent where |
|
107:43 | get a significant flow of ions that develop an EMF related to that. |
|
107:50 | way to think of that is if have moving charge that requires an EMF |
|
107:57 | move that charge, if I'm actually a brine flowing charge, so that |
|
108:03 | develop a voltage that's related to the . That's not what we want to |
|
108:10 | . We want to measure a salinity . I might be able to get |
|
108:16 | RW we pick our bed boundary on points like always, right? Just |
|
108:25 | to geometries like be that not And so we have a boundary |
|
108:31 | That definition, it's gonna vary with formation properties, my mud properties. |
|
108:36 | used to select permeable zones or my zones. If we're lucky, we |
|
108:42 | our w and if we're in the , I can actually get from this |
|
108:50 | , we also make similar measurements in laboratory. It it's called uh electrochemical |
|
108:58 | , right? So what we do we take a core plug. We |
|
109:02 | one salinity past one end, we a different salinity. Past the other |
|
109:07 | , we generate a salinity contrast in sample. OK. And I know |
|
109:13 | what my salinity are. So I what potential I should develop. It's |
|
109:18 | than that. So that tells me Shali is the way that works. |
|
109:24 | I haven't had very good luck, the way, with that measurement. |
|
109:28 | fact, I had one, I one master's student quit that because he |
|
109:33 | get it to work. Right. even took him to shell and we |
|
109:37 | their existing equipment but never got it work. He went to get a |
|
109:42 | in another department. Maybe he was . Um But uh so I would |
|
109:49 | , I'm not sure even everybody does makes those measurements for you. I |
|
109:55 | it shell like it for a long . So that's about getting RWRW is |
|
110:03 | . I have never seen anybody attempt get shass in a bore. Too |
|
110:09 | uncertainty. You never know what RW . You might have a reasonable idea |
|
110:14 | RF is the, you have to those precisely because you're looking at a |
|
110:19 | millivolts at most suppression. Welcome to it. Any of you ever get |
|
110:28 | to work? I'd love to hear it. Yeah. So like I |
|
110:34 | , there's four sources of this, electro kinetics. Again, we're not |
|
110:39 | worry about, but if you are , uh fluid. If you |
|
110:44 | if you have fluid losses at rates enough that these would impact you, |
|
110:48 | you have bigger problems than determining, , what RW is, you need |
|
110:54 | walnut shell or something like that. , uh I, I, I've |
|
110:58 | seen anybody attempt this either. This another thing that people have done in |
|
111:01 | lab. They will actually flow fluids measure a potential development, but I've |
|
111:07 | seen it used for anything useful. can write papers based on it. |
|
111:12 | we have two of these called membrane , which is the one I talked |
|
111:16 | measuring the lab. Then we have uh liquid liquid jun pen a little |
|
111:23 | different. So we have two sorts those. There are the electro connect |
|
111:28 | can be cancel with each other. I just wouldn't worry about the data |
|
111:32 | the purposes of this story. So shale is a membrane right potential. |
|
111:39 | due to the passage of sodium non of chlorine. And so uh again |
|
111:45 | it because chlorine don't like the negative in the clay. So it will |
|
111:51 | , you know, it inhibits passage the chlorine. That's why you don't |
|
111:55 | a full development of ESP it relates the ionic activities. This is why |
|
112:03 | add the eat. Still remind of . So that's why we have the |
|
112:13 | here rather than just RMF and And we have a chart go between |
|
112:19 | right and R at show you that in a second, right? So |
|
112:24 | you look at this, this is response equation. What do you see |
|
112:28 | it? You see a saturation, don't see a reactivity of the mud |
|
112:38 | and I see it done then I saturation with this tool. No, |
|
112:47 | not respond to that. It doesn't to permeability, doesn't respond to relative |
|
112:53 | . It responds to the ability to ions and the potential that's generated because |
|
113:00 | that, if you're moving ions, ? So you have a high |
|
113:04 | old concentration ions are gonna move, generates an emmemm those ions right? |
|
113:13 | a demand, right? So you have a coefficient here of the log |
|
113:18 | ratio. What happens if RMF is than RW? This number will be |
|
113:27 | ? What happens if RMF is less RW? This number is negative? |
|
113:33 | you will get different deflections depending on your RMF is greater than or less |
|
113:42 | the reason your formation water activity if this works, it's a great |
|
113:47 | RW pretty hard to get. So , when you get asked on the |
|
113:53 | , there's no midterm and you get on the final, what is this |
|
113:57 | measure? You're going to say a contrast between RMF and RW. You're |
|
114:08 | . It's ionic activity that's directly related the, basically the same thing. |
|
114:19 | sorry. What? Which passage? This is, this is your, |
|
114:28 | , it's the membrane, this is the tool makes one of the |
|
114:34 | the dual managers, that's the response the shale. This is my liquid |
|
114:40 | junction that takes the same form and just a different coefficient. And so |
|
114:45 | just have to add these two So that's the next slide, |
|
114:50 | So this is across a boundary in field train. So the whole thing |
|
114:57 | end up with A K. So E right, my electrochemical potential e |
|
115:04 | is my total tool responses to some those two earlier responses, right? |
|
115:09 | this K is temperature dependent. And , there's just these this ratio of |
|
115:16 | two effective reasons given they just done . And these filtration potentials, I |
|
115:26 | want to spend much time on because don't use, they tend to cancel |
|
115:31 | ? Small, right? They are . So almost everybody ignores them, |
|
115:36 | ? And if you have these kind problems, it's usually this tool |
|
115:42 | interpreting the detail of this still like I said, the least of |
|
115:47 | problems. So this is my static response that I already mentioned and we |
|
116:08 | use this to drive RW for my SP response and knowing what our MF |
|
116:18 | , how do we do this? is uh I think your homework problem |
|
116:22 | to go ahead and do this. go through and explain what to |
|
116:27 | Oh, thanks. So what you is you're, you're at the |
|
116:33 | your RMF is measured at the right? So you're at some |
|
116:38 | ambient temperature. So in order to the tool response, you have to |
|
116:43 | that RMF to the bottom hole temperature you, wherever you want interpret the |
|
116:49 | . So then that gives you what RRMF is at in the subsurface I |
|
116:55 | then go in, I have to through an activity chart that I'll show |
|
117:00 | in a minute to get that What that rmfe is, then I |
|
117:07 | calculate what our we is from the of the static SP. And then |
|
117:13 | have to take that typically, if want RW in the subsurface not |
|
117:18 | If I wanna know what RW would at the surface, then I would |
|
117:21 | the temperature correct attitude. I'm I'm gonna show you how to do |
|
117:25 | one of the last slides. So fairly straightforward and it's worth the |
|
117:30 | right? So what is the sp over a long fresh mud look |
|
117:36 | So where's my, where's my water to be the freshest? And I |
|
117:41 | how salinity typically will increase with Um So very fresh water at the |
|
117:50 | we're gonna have RMF equals RW. my tool response gonna be there? |
|
117:58 | the log of the ratio of those blog of one is zero. So |
|
118:06 | get no, the black. And then here where I'm pressure, |
|
118:11 | gonna get collection in one direction where more saline. I'm gonna get a |
|
118:16 | uh opposite direction deflection. And I'm get the largest deflection at, let's |
|
118:24 | if I was right. So here deflects to the right. That's because |
|
118:29 | pressure than your RMF. Here we no response. Here. Here it |
|
118:36 | the other direction here. My complexion even greater. So again, I |
|
118:42 | repeat myself. It's measuring a resistivity , not an absolute resistivity. In |
|
118:50 | to interpret it quantitatively, I have know my RM back at the |
|
118:58 | The tool is that about a saline sole or saline mud, what's gonna |
|
119:07 | ? Yeah. Precious at the RMF was getting with RW there. |
|
119:13 | where's my biggest deflection gonna be starting the bottom? Because that's where the |
|
119:23 | is. No, no response, response here. Here I get |
|
119:31 | A little fresher and up here it's fresh. My biggest reflection from the |
|
119:36 | , right? Just has to do again, the general trend is that |
|
119:42 | uh formation water gets more sailing damage already on. I've asked geologists why |
|
119:51 | is, haven't always gotten a good here, an expert on that. |
|
120:01 | does formation water get more sailing and in depth? Pretty general role. |
|
120:10 | sure. The usual answer I get that the brines had longer to interact |
|
120:14 | formation formation. So you just tend accumulate minerals with increasing depth of the |
|
120:21 | , right? And increasing concentration that the salt makes sense to me. |
|
120:30 | , here's a look at a real . OK. The draw shale baseline |
|
120:36 | . So what happened between here and that actually left being right kind of |
|
120:47 | from being uh less fresh to more than my RML. This water water |
|
120:56 | saltier than the filtrate. This water fresher. That's kind of opposite what |
|
121:02 | might expect. So, the shape the sp, so I don't know |
|
121:12 | you did this, I actually did lab like this. You, you |
|
121:18 | take a map out electric fields and had a little bars and you put |
|
121:22 | in one potential and you had a trait, you could map out constant |
|
121:26 | lines, right? It's kind of . But the whole idea of if |
|
121:30 | have some concept of what an electric line and the more resistive rocks, |
|
121:35 | tend to pull the field lines into more resistive rocks. Ok. And |
|
121:42 | what happens is in very resistive this thing gets hard to pick bed |
|
121:49 | . And if the rocks get extremely hard, another misnomer by the oil |
|
121:56 | , hard is not the same Exactly. But when that happens, |
|
122:01 | tool gets pretty tough to pick bed in perfectly. So things can get |
|
122:07 | out. So here's, here's some of that, right? You can |
|
122:13 | where it's more existing, right? you can see how the field line |
|
122:17 | gonna get pulled into the more resistive . So this, by the |
|
122:21 | is at the inflection point, even we, most of us would pick |
|
122:26 | here. What I mean by it's tough to interpret bed boundaries and |
|
122:30 | like that here. Right. Still the end of election point, et |
|
122:34 | , if they're roughly the same it looks pretty normal. And so |
|
122:39 | there are no reasons to be I don't know, most of us |
|
122:44 | so SP can have pretty, uh weird shapes. Bed boundary is always |
|
122:52 | the inflection point. Still, I'm lying to you a little red. |
|
122:59 | so at high RT RT, good unit, right? So it's not |
|
123:03 | much in hard rock. Maybe the thing about this is hard rocks are |
|
123:09 | synonymous with resistive rocks. So it's resistive rocks that confuse this thing you |
|
123:14 | don't care about physically, but it's , toughness is or whatever. And |
|
123:26 | you can get that correct charts or , but people generally will tend or |
|
123:31 | use the game. So here's an of that. It's basically a troubles |
|
123:45 | in their hours of. So how we get because I was a little |
|
123:50 | early. Uh What would I do get RW for my SP here? |
|
123:57 | portion of the curve would I Actually? Helps remember what happens as |
|
124:08 | as it becomes shali. What happens the SP it gets suppressed where I |
|
124:17 | to interpret our W from is where get the largest collection but where would |
|
124:23 | use it? Which of these zones 23 zones? Would I use this |
|
124:29 | zone? A right. So that's cleanest rock. So I would go |
|
124:36 | and use that number of millivolts. always, there's no absolute zero for |
|
124:42 | . You have to draw a shale line here and measure in millivolts |
|
124:47 | Each of each of these is 10 supposed to be. So, if |
|
124:52 | read this, it's like what, , 2030 40 50 60 millivolt, |
|
124:58 | like that because I counted wrong. . Yeah, read it wrong. |
|
125:08 | to 70. Yeah, it could what I would do. Cool. |
|
125:15 | you read the SP value from the and again, this is your homework |
|
125:19 | do a problem. You have a difference between the shale. You need |
|
125:24 | have the correct deflection. What's gonna if you have the wrong sign still |
|
125:29 | get a number out of it. gonna have it being fresh rather than |
|
125:37 | . So you've got exactly the wrong . You read RMF from the log |
|
125:48 | . This is maybe the hardest thing because somebody has to have asked the |
|
125:56 | water or whomever is there to give an RMF when you're penetrating this |
|
126:01 | right? Why you're typically asking this get an RMF as a change additives |
|
126:08 | the mud, et cetera. That's physical measurement. Again, scoop the |
|
126:12 | out of the mud. Then put in a out our the mud |
|
126:17 | you measure that resistivity got a meter the surface to do that, |
|
126:23 | OK. You read it RMF and you have it, you convert it |
|
126:27 | the temperature of the zone and the and you can move that down home |
|
126:30 | show you how to do that in second from a chart or an |
|
126:35 | So this is a generation nine or chart and then an AP equation. |
|
126:40 | thing about this tool is it's a electrode. It doesn't have a |
|
126:45 | So everybody's tool is the same, ? So any chart works from any |
|
126:52 | ? Yeah, there's no spacing or like that, right? So |
|
126:59 | with 68 mil volts minus 68 millivolts the depth we wanted our RMF, |
|
127:05 | measured was 0.171 millimeters. Our formation is 100 and 29 degrees. We're |
|
127:11 | use the Arvis equation which is simply . And so we are correcting, |
|
127:19 | ? Oh Static se was 68. is like I, I'll show you |
|
127:31 | equation a second to make sense. going from 68 to 100 and 29 |
|
127:37 | that's from here to here. And this was my, uh this was |
|
127:41 | R and that I'm so we then we have to go from RM |
|
127:49 | F. We had that RMF. just changed the temperature. We now |
|
127:54 | to go because it's the activity which pointed out that's strictly a resistivity. |
|
128:00 | so we have to look up in charts with that how to correct between |
|
128:05 | and RMF. We can then plug into here. We can calculate |
|
128:09 | we, we then have to go through the chart. Get back to |
|
128:14 | w easy enough. So you can this chart to do that, just |
|
128:22 | the equations right. Then you want check that against other sources of |
|
128:29 | This is the chart you use, back and forth between RWRWB. All |
|
128:35 | do is enter with RW, go break temperature line and our government or |
|
128:42 | go the opposite way to get back our government easy enough, just to |
|
128:49 | you a practice, right? And here's the, so we need to |
|
128:54 | and that's what ends the, the about the sp about what happens to |
|
129:00 | water quite interested in the resistivity of formation water. Why is that we |
|
129:11 | to evaluate Archie's equation and have to RW RW because we're always looking at |
|
129:19 | of movement away from RW based on velocity and the saturation or make our |
|
129:25 | more resistant. So it's my starting . So I have to have an |
|
129:30 | of a to quantitatively interpret what my is. Thank So how do we |
|
129:38 | between uh sodium chloride concentration and just chlorine concentration? Five RW and |
|
129:48 | Hopefully, that's pretty standard notation. resistivity connectivity and we get 1000 because |
|
129:56 | , this was somebody's sense of Uh This is actually outdated now. |
|
130:00 | CW is in mo mh O the of home. They don't call it |
|
130:08 | they see in SI E MA N units. I was while I was |
|
130:15 | college, it was a while Maybe the oil industry would still do |
|
130:20 | . And then the mill, that's , so what happens when I, |
|
130:29 | happens to a salinity? Uh connect the RW is my sodium chloride concentration |
|
130:35 | up, my resistivity goes down, productivity goes up. So this by |
|
130:45 | way, uh this happened for all but um let me move on to |
|
130:52 | . It gets clear what you What happens with temperature if I raise |
|
131:00 | temperature, whatever happen to my you're right. By the way it |
|
131:04 | up. Is this true for all ? I got a, wow, |
|
131:14 | , you're pretty good. Most students not know that if you raise the |
|
131:19 | of copper, the connectivity goes Ever worried about why ever bother |
|
131:27 | Why that would be? No bother . It has to do with understanding |
|
131:39 | physics, a meal just for your . Maybe it's just confusing you, |
|
131:47 | a metal, the connectivity is determined the conduction band. So you have |
|
131:51 | bunch of these large molecules associated with metal, the D orbitals overlap. |
|
131:58 | get a conduction band associated with that easy to move electrons from one, |
|
132:04 | a molecule to the next, So what happens is if you raise |
|
132:09 | temperature, you actually populate those electrons of that conduction dam. So the |
|
132:14 | actually goes down temperature, I usually that out to because I talk about |
|
132:21 | here, you're understanding a model, apply the wrong model to the wrong |
|
132:27 | . You get the wrong, this a situation where that happens. And |
|
132:35 | think this is the this is this basically the uh what happens with |
|
132:42 | What happened with salinity? Right? temperature, we have temperature on this |
|
132:47 | , we have salinity on this So the interesting thing about the chart |
|
132:52 | you go between the parts per right? And a resistivity here, |
|
132:58 | ? And so if you want to at the affected temperature, I have |
|
133:00 | certain resistivity thought we did this, let's say it's 0.3 m and I'm |
|
133:08 | 50 degrees up. So I'd be here. What happens to my |
|
133:13 | Right? If I go to 100 50 yeah. Is my salinity going |
|
133:18 | change means by the way are lines constant salinity. What happens if I'm |
|
133:28 | and I raise my temperature, I move down this line, but I |
|
133:32 | change my salinity, but I am my resistivity right? Till I get |
|
133:37 | the correct temperature. So I just these right, get to the correct |
|
133:42 | . How I that by the could see how constant parallel these lines |
|
133:49 | that has just to do uh with fact that the connectivity in a brine |
|
133:55 | related to the number of ions in blind, they are conducted. So |
|
134:01 | doesn't really matter. It's quite linear the amount of ions over a very |
|
134:08 | range. If I double the I the concentration of the salt, I |
|
134:14 | the reactivity very linear over very large . I actually matters later. We |
|
134:25 | about uh we talk about wax it daily. So seawater, you could |
|
134:31 | ought to remember that's 30 to 35,000 per million fresh waters here. |
|
134:38 | salt saturated. That's why things tend break down here. If you look |
|
134:42 | this chart, this is uh this pretty linear over quite a long range |
|
134:48 | we get out here near it's salt , everything breaks down. So that |
|
134:53 | thing I talked about doesn't work once get near its salt saturated. So |
|
134:58 | a lot of reasons to understand, , that you where salt saturated |
|
135:03 | right? Is a function of right? The higher, higher the |
|
135:09 | , the more salt it can make dissolved in the brine. So a |
|
135:14 | of times if you have a reservoir is actually near salt saturated, what |
|
135:19 | happen when I bring it to the and cool it, I will precipitate |
|
135:28 | in the pore system. And when go to measure a permeability. I |
|
135:33 | very well get the wrong answer. in with a salt saturated solution that |
|
135:38 | dissolve. So you have, if want the absolute perm, you have |
|
135:42 | clean the salt out of the So just so you know, uh |
|
135:47 | won't do that unless you ask them as you know, enough to ask |
|
135:53 | to. So you may well be by an order of magnitude of from |
|
135:59 | that's gonna matter to you if you're to make money. Right? All |
|
136:06 | . So that was the sp getting to the end. It's a good |
|
136:22 | . So we're on to the gamma and why I couldn't get that, |
|
136:31 | we're gonna do the exercise memory in ways more important that time, you |
|
136:42 | , the day maybe happen. But . All right. So the gamma |
|
136:53 | , this is the other tool that we used to determined reservoir from |
|
136:58 | reservoir. It's scaled and arbitrary API . So we, they used to |
|
137:05 | it here on our campus, but think they moved that test at sugar |
|
137:10 | . Now. Um depth of investigation a foot, pretty standard 3 ft |
|
137:17 | resolution that we're gonna find in a of the convention density logs gotten a |
|
137:22 | bit better. OK. That's significantly . All right. But what are |
|
137:29 | doing with the density log much? I had that fine. 13. |
|
137:46 | here's an example right? Then there's stereotype that high gamma ray, right |
|
137:52 | non reservoir if I have a So we're gonna work our way down |
|
137:57 | ask some questions, right? If reservoir is sand and my non reservoir |
|
138:03 | shale, my gamma ray of my is gonna be what? Relative to |
|
138:13 | ? Yeah, I that's our right? A reservoir is gonna be |
|
138:18 | . Shale is gonna be. How if I have a chorus line stone |
|
138:23 | a tight line? Yeah, you it. I heard the writings of |
|
138:35 | Yeah, it, it won't tell , you read from you not. |
|
138:41 | about if we have a granite wash is it fair to ask geologists in |
|
138:45 | question versus just a Limone, a ray in my granite? Main thing |
|
138:54 | should know better than I probably have belts bar in it. Far as |
|
139:02 | . Yeah. So my reservoir is gonna have a higher gamma ray that |
|
139:07 | not. And then we have I don't know what the slash be |
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139:16 | to change this. So we have porous dolemite versus a tight do might |
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139:23 | a radioactive response Cassi bear or So again, they would be the |
|
139:33 | . So you, what, what gamma ray means? Depends on what |
|
139:37 | reward. It's telling you rear versus reservoir rock. No information about |
|
139:46 | It correlates you've ever watched a television ? Quickly learn that correlation is not |
|
139:55 | or the internet period. Yeah. . Well, we'll see it. |
|
140:04 | responds to the tools, responding to uranium. All right. So it's |
|
140:13 | for an eight inch barrel. If whole washes out what's gonna happen to |
|
140:18 | signal. Yeah, you're gonna lose . Right. It's gonna look |
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140:23 | It's gonna measure the radioactivity of the . Typically. Typically if you don't |
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140:31 | casing, it's gonna be fairly You know, why might you have |
|
140:36 | in the mud? Talk about this swelling clave? That's a good one |
|
140:50 | you geologists to remember, you can a hero or at least I told |
|
140:54 | songs. All right, how about shale for gamma ray which that businesses |
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141:02 | guilty of all the time really doesn't . So we'll, we'll talk about |
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141:08 | particularly when we get to, particularly we get to Shelley and measure for |
|
141:14 | gamma ray spectra again, passing uranium thorium. You are looking basically uh |
|
141:21 | , and the spectral gamma ray, ? You can actually tell how much |
|
141:25 | I have how much uranium, how thorium, why would I want to |
|
141:28 | that? Typically potassium and thorium are to shales. The uranium is related |
|
141:40 | organ, there are exceptions to So you can tell right source rocks |
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141:48 | shales with organics in them, some that are not, it's a good |
|
141:54 | indicator in be uranium. So they there for a lot of you the |
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142:02 | source rock radio steam right by steam because typically you put a lot of |
|
142:10 | in raids the radioactivity for that volcanic that they have lots of sources |
|
142:17 | drink or radio activity there. So spectral gamma ray tells you how much |
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142:25 | uranium gassier you have already talked about you wanna know that gives you a |
|
142:30 | shale. The problem with the B is typically, geologists ought to be |
|
142:36 | sensitive to this. If you have plays orogenic clays are your properties of |
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142:45 | orogenic clay or clay formed in place to be similar to your founding |
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142:51 | No, if they are detrital, , then there's a possibility it would |
|
142:58 | , they, again, the geologist help here. What's the origin of |
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143:03 | clays? Right? And if I gonna do that, would I use |
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143:08 | lower bounding shale or the upper bound if I thought, and then it |
|
143:17 | deposited when my sands were deposited? , you would want to use the |
|
143:22 | bound shale, right? It's the of the sequence, right. So |
|
143:25 | would suspect in that sequence, your shale would be better, your upper |
|
143:32 | would be better than most petro They were clueless when it comes to |
|
143:38 | . Which one should they use? couldn't tell you, is it autogenic |
|
143:43 | or is it I have no So they could get in real trouble |
|
143:50 | you can't really help you. How I do this? And so you |
|
143:57 | a, typically they will separate for reason, the sodium and Cassi associated |
|
144:02 | kind of shales, not that they a lot of times the spectral gamma |
|
144:07 | , they will combine those two as play indicator. So that, that's |
|
144:14 | they've done here, right? So have multiple, you, you can |
|
144:18 | what's going on here. This is eagle bird. Here's a clue. |
|
144:22 | you can see this better than I , but you can see what's going |
|
144:26 | right? With the gamma ray right and here, I think I have |
|
144:32 | uh my hassium plus my. So am here and I have my uranium |
|
144:38 | this column. What's what's going on in the Eagle Ford with death? |
|
144:45 | would I want to completely uranium is bigger, passing Dorian is going down |
|
144:57 | what I just said, this is play indicator. This is a |
|
145:03 | So here's where your good stuff is down here at the base. Oh |
|
145:14 | likes to ask me this exact exact question here is my potassium thorium |
|
145:22 | , my shale indicator. And so down here, right? You have |
|
145:27 | Cassi thi I have a lot of the top. Yeah. So another |
|
145:36 | , right? So why am I this? What, what's going on |
|
145:42 | ? Right. I have, I potassium, I have thorium, I |
|
145:48 | uranium here. So I have a uranium contact in this range right here |
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146:02 | those are not jail breaks because they're indicating shale at all. Pass him |
|
146:08 | my thorium everybody. All right, that. And here's a chart that |
|
146:19 | remember when this charge came out dating , but I remember when the spectrum |
|
146:25 | ray is, when I first heard the spectrum gamma ray. Uh How |
|
146:29 | is this chart you have that Not very good. You you that |
|
146:36 | will change and depending on what fluids exposed, what the depositional setting |
|
146:41 | et cetera. This can be So you can do things like this |
|
146:46 | a spectrum gamma ray, but you to locally correlate that response to a |
|
146:53 | or something like that. Then it's valuable just off the shelf with this |
|
147:00 | kind of interpretation, it's not gonna for you. And so there is |
|
147:05 | in the tool, it does give an indicator of plays versus uh |
|
147:10 | things like that or radioactive Dolomites or . But you where this shows up |
|
147:16 | for is the story of good luck to be locally developed. Oh And |
|
147:34 | I talked about the statistics back you average over it is fairly, I |
|
147:46 | , you're, you're measuring actually the that existed if you'd done this 4 |
|
147:51 | years ago, probably would have had much better gamma ray response, |
|
147:56 | Why is our core still moving, moving in mars the it's still here |
|
148:07 | we're massive enough radioactivity is still generating enough heat to keep the convection |
|
148:13 | going. Thank goodness. Right. billion years later, mars, the |
|
148:18 | of froze at that that you're measuring 4 billion years. Digital said radioactivity |
|
148:27 | still, this is just you and are exposed to this constantly fairly |
|
148:35 | there's a lot of stats if you average over it. Uh Again, |
|
148:40 | is related fluctuation. Uh you can a little more by slowing the tool |
|
148:47 | and I wouldn't worry about flag those cameras are basically gone. |
|
148:54 | Yeah. So this is just an of, of the log. Sure |
|
148:59 | all seen go. So I think done and we can do that blog |
|
149:08 | and squaring. So let let pass out just in time for we only |
|
149:16 | one break. So we're allowed to . It's a large zoning and |
|
149:25 | and water. Yeah. Um So we go through this, I don't |
|
150:14 | I need to lead you step by . The question I can ask you |
|
150:19 | your your job here right is to the sand interval in three layers, |
|
150:27 | ? Based on re dividing porosity, use the gamma ray by the |
|
150:32 | Yeah. It's not our model for of the layers tabulate the the layer |
|
150:39 | , bottom depth thickness resistivity porosity, the water saturation using those Archie |
|
150:47 | Yeah. And then uh determine the thickness average porosity and average water |
|
150:55 | Mm Then we give you the rules the next page or zoning. Basically |
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151:06 | I told you before, then make table for all of this. Put |
|
151:10 | together. So first thing, what's first thing you do? I'll go |
|
151:15 | it a little bit. What's the thing you should do? Shall |
|
151:22 | put a shale baseline in your gamma or ruler will help, right? |
|
151:32 | have that help, draw straight their questions. By the way, |
|
151:38 | people at home we can go through easiest thing for them to do is |
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151:42 | share their screen, just upload the to. OK. Sure. I |
|
151:57 | check them just like everybody else. if they want to ask questions about |
|
152:03 | previous in class saturation height model, can do that now too if they |
|
152:08 | I just stop. Yeah, Oh sure. Right. The first |
|
152:21 | is the shale baseline. What do do there? You put a ruler |
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152:25 | it and you invoke your artistic Where do I think? So my |
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152:32 | baseline and you're putting it in the place. Shale baseline is gonna be |
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152:38 | here, this is a shale. you, you want it right? |
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152:45 | gamma ray is the shale. So gonna be here here. My sand |
|
152:50 | gonna be in there. Can I a question about the last one? |
|
152:58 | GSP ones, the gamma ray, can draw a shale baseline on |
|
153:04 | So shale baseline first, it really my limit. It looks pretty good |
|
153:20 | here. And then there's gonna this one's a little tougher, |
|
153:25 | Oh You very well could decide which the gamma ray, which one's the |
|
153:36 | the noisier one is gonna be the , right? So your shale |
|
153:41 | right? It's gonna be, this my high gamma ray. My gamma |
|
153:44 | goes, that's smaller there. But shale baseline, it's gonna look something |
|
153:49 | that. Yeah. Or yeah, less noise statistically it averages more. |
|
154:03 | , I tried to say that because gamma ray is very low radioactivity on |
|
154:09 | , right? You're getting so many , right? There's just a lot |
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154:13 | statistics in it because the noise level so it's so high, it just |
|
154:19 | there's a lot more statistics in. , it's a lot more statistics in |
|
154:27 | . So my shale baseline just here at the high gamma ray it's gonna |
|
154:32 | along there. SPD gets bigger in direction. Gamy gets bigger in that |
|
154:45 | . They did that on purpose. they look similar shale baseline first. |
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155:27 | I draw, you decide, basically at this thing and decide how many |
|
155:32 | you wanna put in this. This where we get a basic insight into |
|
155:37 | personality. Are you a lumper or splitter? You're a lumper. |
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155:44 | I tend to be a lumper It's easy to be a splitter if |
|
155:50 | using log or something and doing it hand. I actually did this stuff |
|
155:55 | hand. My first show. Yeah. It's gonna be somewhere. |
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156:03 | mean, there's some so it's, gonna be something like that. So |
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156:10 | noise in the gamma ray. So want to go through the middle of |
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156:13 | noise? Is this, first of , I will preface this, this |
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156:19 | an art, not a science and call this an interpretation. You go |
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156:26 | the hall and the next guy does , he's gonna get it, person |
|
156:29 | it. He's gonna get a different . So uh that's good news because |
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156:34 | you're good at it, you can differentiate yourself. Yeah, Mr A |
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156:43 | noisier for standard one second. The one is the gaming. Oh This |
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156:59 | the game running. This is the . So you should be, you |
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157:13 | be doing this based on, you're do a resistivity analysis. So you |
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157:18 | to zone it based on both the and the porosity looks to me like |
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157:45 | drifted a little bit during this, isn't all that unusual. I would |
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157:49 | something pretty sure this is a This is a shale just from the |
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157:54 | . Draw something like that sp can quite a bit. It tends to |
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158:03 | fair amount of electrical noise. Somebody welding on the platform, all kinds |
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158:08 | horrible things can happen to your sp . Yeah. Um Right. It's |
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158:43 | I'm getting an echo. Yes. me turn something on. I don't |
|
158:57 | . I can turn the microphone You can't hear me so she could |
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159:05 | her microphone off. You have on speaker here so you can hear |
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159:13 | what whatever muddled through. Yeah. . The shale baseline. All this |
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159:32 | used for it. Where do I to interpret this thing? So |
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159:35 | I have a shale baseline here. are, are you gonna call this |
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159:44 | san? No, I might, getting, I'm getting a resistivity response |
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159:53 | , getting a ferocity response here. I, I would probably draw my |
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160:00 | baseline, something like this. So here this isn't a very good |
|
160:05 | for sure. You can tell because the resistivity because of the ferocity, |
|
160:11 | ? Yeah. My porosity is et cetera. My resistivity, |
|
160:16 | My my resistivity it's higher. And what, what am I gonna do |
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160:24 | my sp I'm gonna have troubles with sp it, it looks to me |
|
160:29 | it drifted. So I would draw sp base line, something like |
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160:35 | So it looks to me like I a sand here or a sand. |
|
160:53 | have to decide how many sands do have? So we got a |
|
161:05 | right? We can draw the shale like this. You can draw it |
|
161:11 | that. If I draw it like , then to me it's like I |
|
161:17 | some sand here. I have some here. Is that validated based |
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161:22 | on my resistivity looks like I have resistivity right here. My porosity also |
|
161:31 | like so it, it might be to evaluate that. Right. Just |
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161:36 | see what happened. Feeling. So there may be produce of oil |
|
161:42 | . You don't know, be worth would be worth a look. I |
|
161:46 | say what I, what I was them was if I'm evaluating this, |
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162:04 | gonna draw my shale baseline and I it something that, which case, |
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162:09 | might have a response here for sure . Right? Also, the SP |
|
162:15 | look to me like it drifted, I certainly have some sp response |
|
162:19 | but I got some invasion here. actually got some sp response there |
|
162:25 | II, I would, I would draw my shale baseline, something like |
|
162:30 | . And I think you have two to evaluate, then you have to |
|
162:34 | how many zones in this do I LG? Maybe 1234. And they |
|
162:50 | . I was just explaining to I probably would say yes, there's |
|
162:56 | upper sand, right? Which I don't get as good at development |
|
163:00 | probably is not as good as right? But it would be worth |
|
163:05 | just a chapter. Yeah. Sign peak reading. That's well, so |
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163:38 | , if you're using the gamma ray in your evaluation, which, so |
|
163:43 | was just the point I was making . If you look at this and |
|
163:48 | interpreting these wiggles as statistics, then wanna put your, you wanna put |
|
163:55 | Sony pick through the average of not at the peak values. They |
|
164:01 | , OK, then that's because you're that as statistics. So it's just |
|
164:06 | , right? So it's gonna fluctuate the true value whereas on, on |
|
164:12 | other logs, right? You don't that statistic. So you really are |
|
164:16 | pick it at peak values. And if, if uh again, like |
|
164:22 | say, this is an art, ? So I would put my shell |
|
164:27 | something like that. Yeah. And I have to decide once I do |
|
164:35 | , I'm gonna not gonna use the Rape or anything other than pick where |
|
164:38 | sands are, right? So where's sand? This is obviously a |
|
164:44 | And I would say this is probably sand, but I would pick maybe |
|
164:52 | , depending how picky you are. could do 34, maybe five zones |
|
164:58 | maybe just call this a zone or zone. There's really no right or |
|
165:05 | there. The gamma treat a little than the other one just because it |
|
165:12 | so much statistics to it. Is OK to like for, I don't |
|
165:54 | . No, no, I think would be fine. 123, I |
|
165:58 | either do 45 or just just want together either way, try it both |
|
166:05 | . See if you get a significant . What seven, if you're |
|
166:13 | then do four, then your job to find the oil, right? |
|
166:24 | , the well paid all the If that upper zone produces any |
|
166:29 | it's like you're a profit, You already spent all the money. |
|
166:33 | the cost of perforating, just whether think it's gonna produce much water or |
|
166:39 | , but it's higher up in the , right? So, if you |
|
166:43 | think it's all in the same then, uh, it's probably just |
|
166:49 | make oil. If you can get in it. They're all the questions |
|
166:58 | asking yourself. I can, can I ask something? Can I |
|
168:00 | my screen? I don't know if can hear me. Yeah. So |
|
168:08 | your shale baseline on here side, side, this is the sand, |
|
168:13 | is the sand, right? So got this zone and we got this |
|
168:18 | . So I basically have this, and I have this zone, maybe |
|
168:24 | zone. So let's call it four . So I just need to zone |
|
168:29 | square those four zones. OK? , yeah, you have your geologic |
|
169:35 | all done know. So where, your sand? So we have two |
|
169:53 | that we're gonna do after that. don't care. OK. I'm not |
|
169:58 | use this for anything just evaluating arching . So I zone off here and |
|
170:04 | zone where it changes my calculation, ? So you have to decide what |
|
170:08 | errors are. So if I were it in this class, I've got |
|
170:14 | here, zone here. It shall here and again, it gets smeared |
|
170:18 | , right? Because it's, then got another sand here. It's probably |
|
170:22 | enough based on what's happening with my . Right. Not seeing much difference |
|
170:29 | . Yeah. And then I maybe two zones here. One here, |
|
170:33 | here. So I, I I do my best to draw a |
|
170:39 | zone across these lots. So those are within the state. Yeah. |
|
170:47 | don't care about the jail. What I gonna do with those? |
|
170:57 | You may have a specific reason you to do that. But we're |
|
171:02 | trying to make money that calculates that . I just takes a little bit |
|
171:18 | get an eye for doing this. you haven't done it, if you |
|
171:22 | more experience with a particular reservoir, get better at it. I'm |
|
171:31 | you need to. Well, I two major sand bodies red. I'm |
|
171:38 | evaluate right? And I would say and here, right. So gee |
|
171:43 | , I looks to me because we at here, I got a zone |
|
171:47 | correspond to that that corresponds to I know they're a little bit |
|
171:53 | Yeah, on here. Yeah, . OK. And we could do |
|
171:58 | one too. And so then, then what goes on here maybe one |
|
172:03 | and one year and they have pretty to the same ferocity discussion about. |
|
172:43 | what you both said this is Yeah. Yeah, I just see |
|
172:51 | sand zone. Well, see she a shale baseline. She, she |
|
172:58 | her shale baseline a little differently than would have. I would have drawn |
|
173:02 | a little bit to the left just on the sp I'm seeing some indication |
|
173:07 | the sand there. So I would drawn this a little bit more vertical |
|
173:11 | she did. So I get based the sp I really have two intervals |
|
173:17 | , right up up here. And then here where my sands |
|
173:23 | And just because I'm seeing it also my resistivity log, I also see |
|
173:27 | reasonable response here on my porosity So based on, again, based |
|
173:35 | all of the logs, I don't I would have called just this, |
|
173:39 | sand. I, I would evaluate one because you're looking for, you're |
|
173:45 | the well, or you're looking for possibilities for oil. There might be |
|
173:49 | of oil. What about jeans are real lumber? Yeah. So, |
|
174:01 | here I, I really wouldn't have all that and that's why you're seeing |
|
174:07 | on the sp I'm not seeing it the camera. Yeah. Say |
|
174:15 | share my screen so they can see they would tell me, can see |
|
174:21 | point. Yeah, because this is figure and they cannot make a point |
|
174:27 | the mouse. Yeah. Yeah. . Mhm. Mhm. Mhm. |
|
175:04 | went, I can see what change person a little more obvious. |
|
175:21 | So, somewhere and if not, all right. If they can see |
|
175:31 | , they can see it. So different slide here, I think this |
|
175:38 | baseline is probably all right, it's vertical. And I really think based |
|
175:43 | my sp response, adding that I don't have a real big gamma |
|
175:49 | response, but this is probably a beed shay sand. And also I'm |
|
175:54 | some hair during my log here and also see some character in my ferocity |
|
176:02 | here, right? So I, really would have had two sands |
|
176:07 | I, I would have, I have sewed this into one sand. |
|
176:11 | , I would have actually this bed . I would have moved down a |
|
176:15 | bit based on not sure where that boundary came, but I, I |
|
176:19 | have moved my, the inflection points like here. Now, it's not |
|
176:24 | right here and here is based on ferocity. I also would have moved |
|
176:29 | bed boundary a little bit this one I'm really not seeing much character in |
|
176:35 | resistivity or in my gamma ray. , I probably wouldn't have called that |
|
176:40 | sand. I would have just called a shale. I've seen a lot |
|
176:44 | character in. So I, and I'm not seeing anything in |
|
176:53 | but one could almost argue that it goes the, yeah, that's |
|
177:03 | we haven't really talked about it And so I would, I would |
|
177:07 | called this a sand. I would called this zone a sand, |
|
177:11 | And then I would have left it . I would have evaluated up here |
|
177:16 | . I, I think that this did but I would have drawn another |
|
177:20 | boundary here and if that sounds not I would have worried about this |
|
177:28 | uh, it really looks like a both here and, uh, I |
|
177:34 | I, I know you're seeing some here. I, I would have |
|
177:52 | ? Mhm. Yeah. So well, the y yellow line |
|
178:04 | yeah, yellow line is like shale . The yellow line is the shale |
|
178:09 | . Everything to the left, right , is my, is my |
|
178:15 | The high gamma ray here, low rays to the left so that this |
|
178:20 | be a sand and this would be Yeah, so the shale bit, |
|
178:26 | is all shale at the bottom and you're starting to see a little bit |
|
178:30 | a little bit of character here. much on here at all. So |
|
178:35 | if this was a sand down it would be pretty poor. It's |
|
178:39 | a pretty high gamma ray and you're seeing any real invasion here, in |
|
178:45 | , you're seeing a little bit of here and here, but my gamma |
|
178:50 | is not supporting it. So just on real preliminary stuff, right? |
|
178:56 | II I would suggest that my bed , I I would move this bed |
|
179:04 | down a little bit and I would this pet boundary perhaps up a little |
|
179:10 | and then I would put another boundary that this really looks like a shale |
|
179:16 | on this. Um It burns down . I don't know what that means |
|
179:49 | . OK. Like that. Yeah. Time if I put my |
|
180:22 | baseline, I, I would not that a shale, I, I |
|
180:25 | make this more vertical. So just on my response to my other |
|
180:32 | right? And my sp I'm developing sp here. So I, I |
|
180:37 | you're shale, you have a I think your shale baseline on auto |
|
180:42 | vertical, give you some room, like that. My sp that would |
|
180:48 | up for sure. Right. I've sand there. So honoring that. |
|
180:53 | also because I'm seeing a response and seeing invasion here. So I, |
|
180:57 | really think that might be worth evaluating also my ferocity, I'm seeing a |
|
181:02 | , right? So I, I suggest based on this even though you |
|
181:10 | seeing a little invasion here, I your gaming, if it is a |
|
181:14 | , it's pretty, pretty crummy because got a pretty high gaming, |
|
181:20 | But I, I think I would that in my sands. I'm seeing |
|
181:24 | lot more invasion. I'm gonna call a sand. I'm seeing more invasion |
|
181:28 | than there just like here. I'm a little bit, but it's really |
|
181:32 | like a shale based on this and sp. So based on all of |
|
181:38 | , I would call this my sand this my sand Right. And I |
|
181:44 | my bed boundaries here here. you could call that a lobe of |
|
181:50 | if you want and include that. , just this little shoulder. So |
|
181:55 | 123 zones here and two zones Oh God. So that, that |
|
182:03 | , I have a problem because I'm really seeing any invasion and that could |
|
182:09 | like, uh, a mud tape something like that. But because I'm |
|
182:14 | seeing anything on M MA or sp seeing anything on my and engage in |
|
182:21 | . I know you haven't had but just the separation indicates some level |
|
182:27 | is gonna be. So I'm seeing separation and this one would be pretty |
|
182:34 | . So if I were doing it if you're a splitter, you could |
|
182:38 | all of that if you want, you're a bit more of a |
|
182:41 | right? Yeah. Yeah, which tend to be, I'd have more |
|
182:46 | 12345 zone in my sand is my sand. The possibility of some sand |
|
182:57 | here again, based on kind of separation here, I'm seeing some ferocity |
|
183:03 | . So I'm looking at all the trying to make sense out of all |
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183:06 | them. Kind of interesting. There's evidence here that SP is developing. |
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183:14 | have an invasion here. I'm seeing here. I'm getting mud filtrate into |
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183:18 | . It is fairly high game, ? So it's probably pretty chroming |
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183:24 | but I am getting some invasion and getting an sp log, seeing some |
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183:30 | on my resistivity, right? And seeing some character in my porosity |
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183:36 | So between all of those things, shale is pretty high porosity. This |
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183:41 | more than some variation in the shale . I'm seeing no indication of sand |
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183:46 | these or these, right? But am seeing some here, but this |
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183:51 | be a wash out. This could I'm having trouble with my shales. |
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183:56 | , seeing some washouts which is gonna me AAA Coity. We haven't really |
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184:04 | about that yet but just telling you I made the decision. So here |
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184:10 | , I really would, I would evaluate that. I would evaluate that |
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184:15 | those sands. I would separate this two lobes getting significantly different resistivity and |
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184:22 | showing some, you know, a of character but some character in the |
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184:28 | and then a hero, here's, my main target. Sure. |
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184:34 | this one's kind of iffy. You do it just because why not? |
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184:38 | then, and then there's just enough on that. I'm willing to disco |
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184:49 | 51 time. Yeah, absolutely. , absolutely. Um And A C |
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185:15 | one. Always one. What what, what's A, I don't |
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185:20 | what you're using for A, you , you have mm equals N A |
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185:26 | the same as C and it's one usually use fractionality. OK. |
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185:49 | No, no, no. Don't the shales. That's the main |
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185:54 | We're using the SP and the gamma force to throw all of that rock |
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186:00 | . I wouldn't even know, can't Archie's equation. Wouldn't even know how |
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186:04 | evaluate it. Can't use Archie's equation shale doesn't work. Yeah, I |
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186:22 | . Yes. Ok. That's good for now. We, we don't |
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186:26 | how it is correct or invasion. I think it said that in the |
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186:34 | . Ok. Uh, you should the homeworks generously, grades almost all |
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187:23 | the final. Ok. Ok. . Really? I Mhm. |
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188:58 | Yeah. You, yeah. Thank you. Um Yeah. |
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190:35 | Uh, but this, this will done. Yeah, I might, |
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192:07 | was gonna call that part of my which you might, you might have |
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192:13 | zones or even 12 and three zones that doing that, that, that |
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192:19 | be worth evaluating, particularly if you a response here in Vero. |
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192:55 | Ok. Yeah. Um, so get a feel for this since you |
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193:10 | it, then what's gonna affect your , right? Yeah. Yeah. |
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193:19 | , and then again, as I across where things change and clearly, |
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193:24 | think my porosity changes a little bit here and here. I think you |
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193:30 | pretty safely call this two zones. porosity change a little bit, my |
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193:35 | responded a little bit similar here. lot of people are evaluating that. |
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193:42 | I'm seeing a, seeing a corresponding change. So maybe 12 and I |
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193:49 | probably call that one zone, really seeing much of a response there. |
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193:54 | the rest of this, I would call just a shale indicator. Even |
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194:00 | I'm seeing some invasion I got pretty gamma. Right. I'm thinking that's |
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194:05 | not very good stuff at best. this is my real possibly this. |
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194:13 | , just based on what I think relevant changes, I have maybe |
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194:22 | So, maybe one. Yeah, sure. 12345 cents I think would |
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194:28 | a reasonable for certainly for the purposes this class. Oh, well, |
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194:41 | you're feeling kind of a shoulder here seeing a similar response here. |
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194:48 | actually originally I wouldn't have done but some people are doing that. |
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194:53 | again, it's an art. So up to you. It's, you |
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194:57 | , my resistivity has gone up a amount and I am seeing some response |
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195:05 | similar deaths here. So maybe there's there or maybe not. Either way |
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195:15 | wouldn't be wrong if you left it or, or it'd be a judgment |
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195:31 | done. Yeah. How much oil you buying? Where was the |
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195:48 | What? Oh, you are a . So this whole thing had |
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195:57 | This one did not? Oh, , you have 1 57 up |
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196:05 | 67 water or 67 oil water, have a water saturation in it. |
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196:17 | that's a calculator. Water sa. right. So now, yeah, |
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196:25 | oil here might be. All And then what percent, how much |
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196:30 | here? Really? 100% oil No, that's fine. I would |
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196:41 | be tweaking my Archie parameters if I 100% that's perfectly plausible. You're, |
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196:51 | gonna calculate that. You get something that. Normally you would say maybe |
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196:55 | need to rethink my ar parameters or my RW or something like |
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197:02 | Right. So I would be looking refine it, but definitely oil |
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197:08 | maybe produce oil there. That's probably . My porosity is significantly better |
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197:21 | I would expect this to be So a lower oil saturation might make |
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197:26 | . Right. So, I think could make a good story out of |
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197:31 | for your boss. Still might be oil. You still might only produce |
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197:36 | . There might be worth uh perforating . Sure. I'm leaving it back |
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197:53 | somebody persuades me to stay. So tomorrow still start at nine. |
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198:06 | . Yeah. It's long enough in my opinion. Plus time makes |
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198:12 | stay longer than that. I ain't it and he never has everybody. |
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198:21 | , that's a long thing. 8 5 long enough as it is. |
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198:30 | get tired and they stop working in experience. Just, you don't get |
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198:35 | out of them already. It's a day. Right. How many weekends |
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198:54 | ? This course? This is our weekend, right? So, it's |
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199:03 | or three, four weeks. But last week we only have courses on |
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199:11 | . Then we have a mid, have the final at some point, |
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199:16 | a week later we have next So we have next Saturday following |
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199:26 | Saturday and then next Friday we have . Thanks. Yeah. All |
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199:43 | Ok. I'm gonna use them to my computer here again. What about |
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199:59 | ? I'll just leave it on That spelled 20, sure. |
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200:09 | yeah. Yeah. Mhm. Can hear me? Yes. Yeah, |
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200:21 | can hear you. OK. I had a question. OK. |
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200:32 | got confused around these. I wasn't what the saturation profile looked like if |
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200:40 | something like this or like this or this like a straight line. |
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201:02 | Now you can hear me. Can she see my cursor now? |
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201:08 | you want to stay, you wanna on the lower blue curve is till |
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201:13 | come up. Looks like you have mostly right? I don't know what |
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201:16 | drawn blue curve is but you just your saturation is calculated by tracing out |
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201:22 | appropriate cap curve at the depths you're . So you're on that blue curve |
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201:27 | , you come up to where you to the red curve and then you |
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201:31 | that one and those are your calculated like this. Yeah, except you're |
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201:37 | on the curve. Yeah. Sure. OK. And then for |
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201:42 | producing water. So that's where you , so it's just it's a little |
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201:48 | past the point of maximum curvature on cap curve. So the way you |
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201:53 | that is you draw a tangent like it's on the blue curve, you |
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201:58 | a tangent. So no, it's literally a tangent to the |
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202:05 | Oh Like this. No, just tangent. It, it basically just |
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202:13 | I could draw it for you. Yeah, you got close, you |
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202:17 | past it. So yeah, you to follow the curve, you draw |
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202:21 | tangent, it's in the notes how do it. Yeah. And then |
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202:26 | draw another tangent, you draw a , you draw a tangent and then |
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202:31 | go straight up from where they cross the curve. OK. Yeah. |
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202:39 | here. Uh Somehow, somehow I draw on the curve. I could |
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202:48 | you quite easily. There's some, some way for me to draw on |
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202:54 | . Uh I can quickly, Even even with the mouse, quickly |
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203:00 | shot for you. Hang on, a second. We're gonna work this |
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203:08 | . Screen shot. Yeah. you can stop share right now. |
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203:19 | then we will share and I'll draw it. Yeah, that's a good |
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203:25 | . Share a screen. And where the up here? So, |
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203:37 | that's fine. So I could draw , hold the button down to |
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203:43 | Can I see the cursor? Hang here. It is. So you |
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203:48 | a tangent, it's gonna look something this and then another tangent here that's |
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203:55 | look some of it. Oh I , it's gonna look something like |
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204:00 | And then from where they cross you straight up, I'm attempting to go |
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204:05 | up and that's your critical water saturation there where I'm attempting to put an |
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204:15 | . OK? I think I remember . Yeah. Yeah. Yeah. |
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204:17 | just past the point of maxim OK? And if you don't have |
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204:23 | on the, on the red I mean, you could be close |
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204:27 | it. You, you could have than one critical water saturation, you |
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204:31 | could produce you. Actually, I'm gonna assume, you know how to |
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204:37 | it. Now, I can find cursor, evidently I could go off |
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204:44 | screen or something. I find it there. All right. And in |
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204:53 | , you, you might have another water saturation right here. So it's |
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205:00 | point them at point past that point minute, you could have more than |
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205:04 | place where you would start to produce . So the point is what would |
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205:10 | be happening here? It's all along top curve. You would be producing |
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205:15 | oil. First of all right. see, you're, you're not, |
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205:22 | on the blue curve where that second drew is. So you would only |
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205:26 | oil out of the red curve out the chlorite sand, but you would |
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205:32 | only oil up up here and the sand and the clean sand and then |
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205:38 | would start to produce water starting here to what I drew. Yeah. |
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205:46 | even though it's, even though it's poor sand, you would produce only |
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205:51 | out of it because you're higher up the curve. I understand. Thank |
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205:56 | . I, I have a question . Can you hear me? |
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206:00 | Uh What's the transition between the two ? How sharp that needs to be |
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206:06 | the, the blue and the red it doesn't matter or? No, |
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206:11 | , it matters. That was. the, what you did was |
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206:15 | we scaled the thing right above the level. We had a depth tie |
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206:20 | where we put absolute depths on We've done that to the right of |
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206:23 | curve. And then once we have on it, we can put our |
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206:27 | on it. And then the geologist where the upper sand ended, where |
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206:32 | , where the LRI sand ended and it was halfway in between. So |
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206:37 | knew that depth in there just from geologist where we transitioned from one curve |
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206:42 | the other. So you're on, use the appropriate cap curve for the |
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206:47 | you were in. No, but I mean, uh, |
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206:51 | I there's a limit between the two , right? But how, how |
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206:57 | is that trans transition from the, sun, the sun below and the |
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207:02 | sun? It's like a sharp Yeah. Well, I mean, |
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207:07 | sharp is the bed boundary? You'd have to look at the and |
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207:12 | that typically with the accuracy that we things. He would draw a line |
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207:16 | he would just switch curves. There be a gradual transition or it could |
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207:21 | pretty sharp. Right. Just depends what, what happened with the geology |
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207:27 | . Hm. Ok, thanks. . Bed boundaries tend to be fairly |
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207:35 | . Yeah. All right, But there's so part four here. |
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207:51 | . Is it wanting, is it us to do that for each zone |
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207:57 | all the zones together? No, . So you want to take each |
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208:00 | your zone, determine what depths you your bed bings at what your thickness |
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208:05 | , what the porosity was, et because we, we did that in |
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208:09 | two of this question, top depth of layer thickness, deep resistivity density |
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208:16 | value or the terms of the total man. So, but they want |
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208:21 | to average is all that's OK. you have a total thickness and you |
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208:24 | to do a depth related ferocity Remember the H times speed and then |
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208:32 | H times times BW. So they want you to calculate oil right? |
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208:41 | each individual. Yeah. And you're average them. So you, you |
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208:46 | did eat zone now. Yeah, , you, you did eat stone |
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208:50 | , right? You resistivity test, cetera and you're gonna calculate a saturation |
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208:56 | each of those zones, right? then they want you to average |
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209:00 | right? OK. OK. Sorry that oh is in the weighted |
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209:30 | . Yeah. I mean, to leave the computer here, is that |
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209:37 | right? As long as the uh, that gets lost that, |
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209:55 | , yeah. Right. Any final questions? |
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