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00:01 this conference will now this conference will be recorded. Okay, there we

00:06 . So you can all see the then and you can hear me

00:12 Okay, so picking up where we off, we were talking about fluid

00:19 and this is an interesting one from historical perspective. These were measured compression

00:28 shear wave velocities in a shell on of production. And you can see

00:38 compared to the mud rock line. we did a fluid substitution on the

00:44 rock line and got a gas share . And also we have the gas

00:49 , which you remember V. B. S. Of 1.5.

00:54 and where these points plot is very . They plot between the mud rock

01:01 and the predicted gas shale line. at the time this was done in

01:07 late eighties, at the time we this as being due to gas in

01:13 shell. But gas men's equations due the impermeable itty of the shell,

01:22 totally accounting, were not properly quantitatively for the effect. Nowadays. Uh

01:30 understand better that this is probably because was an organic shell and the effects

01:37 just the solid organic material is to the B. P. B.

01:42 ratio. So um early on we the idea that they were hydrocarbons in

01:50 . It never occurred to us to them. I was thinking in terms

01:55 how the seismic response would be then we would think if we were

02:00 the mud rock trend. So this a definite uh example of how you

02:07 violate the mud rock trend, adding will lower the B. P.

02:12 . S. But so will be solid organic matter. This was some

02:28 data collected in the late 80s. this was an interesting situation where we

02:34 looking above known fields. And we looking in the relatively shallow near surface

02:43 at the time we didn't have di logs. What we were using were

02:50 surface to hold the SPS with very spaces. And we were measuring p

02:57 velocity and shear wave velocity that And here we have a shell trend

03:03 we have a brian trends and off reservoir on on the flanks we got

03:13 kinds of V. P. S. Ratios we were expecting for

03:17 saturated plastic silicate rocks. And you these velocities are pretty low. All

03:25 . But then we made measurements over field and to our surprise, what

03:34 see is primarily an increase in shear velocity. Not so much a decrease

03:39 p wave velocity. More of an in share wave velocity. And this

03:46 with geochemical data that was suggesting that the near surface over this field there

03:53 microbial activity that was chewing on the that were seeping above the reservoir and

04:03 cements. So this was consistent with geochemical idea of uh finding these cements

04:12 the near surface being indicative of hydrocarbons . So what cement would do would

04:18 to increase the the uh excuse cement would increase the shear wave

04:25 It would also increase the p wave . But you have the counteracting effect

04:30 the hydrocarbons on the p wave So primarily we're seeing uh the shear

04:38 velocity being increased uh by the cement . So a bigger increase in rigidity

04:47 in fact a slight decrease in P velocity. Okay. Some things to

04:58 about when doing fluid substitution. First all, as I've tried to

05:04 think about the actual experiment in the . What are the logs reading?

05:11 density log only reads a few inches the formation. So it's reading the

05:16 zone. And hydrocarbons may be flushed from the borehole by drilling mud

05:24 which means you may be reading too density in the in the invaded

05:30 So it's the density may not be . Now uh sonic logs can read

05:38 fortitude into the formation. However, you have the sonic logs are a

05:46 experiment, uh they are refracted head . And I don't know if you

05:53 the hidden layer problem. Uh In prospecting. If you have a high

06:00 layer, your head waves won't see low velocity layer beneath it. They

06:06 refract along that high velocity layer. so if the invaded zone is uh

06:13 pushing hydrocarbons away from the well It's possible that the invaded zone is

06:19 velocity. Um Of course you would to flush all the hydrocarbons for that

06:24 happen. Uh But the net effect it's possible the sonic logs may or

06:31 not see the hydrocarbons. And quantitatively the velocities may not be strictly

06:40 Uh And if you have a very balanced mud so that you have extreme

06:46 invasion, you may see little hydrocarbon on the laws. Uh Also,

06:54 we we discussed last time about bubbles from the formation, gas getting out

07:01 formation into the drilling fluid and attenuating sonic signal causing cycle skipping when you

07:09 gas sands. So there are a of reasons to be suspicious of what

07:15 the measurements in the vicinity of your . Uh And for this reason we

07:24 the sonic and density measurements more in brine saturated formation. That in a

07:31 saturated saturated formation. And for that , if I have a choice to

07:39 from to take the velocities in the sand and predict the velocities in the

07:45 sand or to go the other way the velocities in the brine sand.

07:51 mean, measure used the measured velocities the brian sand to predict the effect

07:56 velocity and the hydrocarbon sand. The is the better way to do

08:01 And in fact checking that compatibility between results. Um seeing if you get

08:09 going in both directions from gas to and from bryan to gas um that

08:15 increase your confidence that you're you're measuring velocities. Okay. We also talked

08:21 the density log being sensitive to whole . So washed out zones are usually

08:29 low density um kind of a fine . Don't put too much hydrocarbon in

08:38 sand. Uh Sometimes we see people a brine sand and replacing all the

08:45 with hydrocarbons. Well, that never in nature, right? You always

08:49 some residual water saturation and the er the rock the higher that residual

08:56 saturation usually is. So uh you , try to be realistic in what

09:01 hydrocarbon saturation is going to be and common error that I've seen time and

09:10 , uh huh If you're reading velocities the drilling fluid velocity like 190-195 microseconds

09:20 foot or slower. There's no way velocities are accurate. It would have

09:27 be an extreme coincidence for those velocities be accurate because uh if the formation

09:35 slower than the drilling fluid, it's a precise moment. It's a

09:39 experiment as sonic refraction experiment. If drilling fluid is faster than the

09:46 the sonic ill will measure the drilling velocity. So gas vans, shallow

09:52 sands could have velocities much lower than fluid velocity, but the sun oclock

10:00 see it. So be aware of situation. Okay, so uh let's

10:09 an exercise. Let's do this with equation. And so here we calculated

10:16 fluid properties and there's a live oil is here and a dead oil module

10:26 . Remember to use giga pascal's and uh, Woods equation to calculate

10:35 the fluid module is the effective fluid versus water saturation for the live oil

10:42 for the dead oil. And let's those two. Do you follow

10:47 We're going to vary the water saturation 0 to 1 and we're going to

10:52 Woods equation to calculate the effective module using 1.2835 giga pascal's for the live

11:02 and then 1.635 giga pascal's for the oil And compare those two curves.

11:11 while you do that, I'm going stop recording this conference will now be

11:18 . Oh, early on, when were talking about velocities, I told

11:24 about an empirical trends that I developed brian sand and gas and velocity.

11:31 gets you in the ballpark. I , there are lots of variables,

11:34 fluid properties, etcetera, all kinds inputs. Uh it can't, there

11:42 to be a lot of scatter around for one thing saturation, right?

11:47 as the first guess this is remarkably . Uh, if I know the

11:54 sand velocity, I don't, instead going through Gassman, I just use

11:59 equation. So, again, it's one of these polynomial, um now

12:08 another approximation which was from Moscow and took gas mains equation, You may

12:17 this form, This was the Brown Karenga form and he just replaced the

12:21 modules with the plane wave modules. is no theoretical justification for doing

12:29 This is what Mapco calls a heuristic . And he said that the,

12:36 error due to this is uh, more than three Or is on the

12:42 of 3%. So why not do instead of that? And I wrote

12:51 paper in response saying that that's not right criterion to judge how good the

13:00 substitution approximation is. It's not the in the predicted velocity, it's the

13:07 in the change of velocity due to change in fluid modules. That's what

13:13 . And I showed that this error be on the order of 100%.

13:18 paper was rejected. It was Obviously someone from the stanford mafia was

13:23 of the reviewers and their notes were , this constitutes a diabolically clever to

13:32 to mislead the public, But anyway, so now, 20 years

13:39 it's still a sore point with It's kind of funny. Um,

13:45 you know, if we had time would compare these approximations, but I'm

13:50 to jump ahead and I'm going to yeah. Oof we had already

14:03 I believe we already talked about that , but what I'm going to do

14:07 , I'm going to do what is stochastic simulation. I think there,

14:12 is an important era here, or an important thing to consider

14:18 Um and we're going to compare using the Mapco or the Castano approximation.

14:24 going to compare to the exact Gassman and the uncertainty in the gasman result

14:32 to errors in the input parameters. what what what I'm going to show

14:37 is that all these input parameters, module list, ferocity, saturation

14:44 um dry frame, you know, modules, all these inputs, we

14:52 know those inputs perfectly well. And a result, we're introducing error into

14:58 gasman prediction. So we could be , very precise, but it doesn't

15:03 because we have an exact theoretical but it doesn't mean that that prediction

15:09 accurate. It just means we're we're the number, we put the same

15:15 , we get the same output So it's a precise calculation, but

15:19 can be precisely wrong if my input are wrong. And so what I'm

15:26 do is I'm gonna run stochastic I'm gonna uh create a probability density

15:35 for each input parameter. And I'm to randomly draw from this probability density

15:42 and then I'm going to calculate the results. So for example, I'm

15:52 to put error bars on my In fact, even with with sonic

15:58 , we don't know the p wave perfectly. I've shown that you can

16:05 on the order of a 2% error uh in the p wave velocity and

16:10 the order of a 5% area with shear wave velocity. So, I'm

16:15 in a slight error in those. going to put a slight error

16:19 in the density in the porosity We don't know the solid grain module

16:27 perfectly. And just for the sake argument, I'm going to assume we

16:31 the brian modules. We don't because don't know the salinity. We have

16:36 know the salinity and calculated at the institute pressure and temperature. I'm also

16:42 to ignore all of these things which have uncertainty, for example, the

16:50 density, if I don't know the , I don't know that perfectly.

16:54 don't know my water density. If don't know the salinity, I don't

16:59 my gas module is perfectly, or gas density, I'm going to

17:05 Also, I know my initial water perfectly and the water saturation of uh

17:12 the thing. I'm trying to compute . Remember, I haven't drilled the

17:17 yet. I haven't drilled drilled my yet. I don't know what saturation

17:22 actually represents. So, but I'm all of these possible uncertainties and only

17:29 uncertainties in these guys. And I at, I have a the Known

17:43 , I start here, the known is four km/s. So that's my

17:50 D. P. And now I'm add gas. The O. Is

17:56 original VP. I am, let's , oh, he is the exact

18:04 prediction. M is the median value the distribution. Um, no,

18:13 sorry. M is the math go of the distribution. Okay, and

18:18 medium value, I think winds up pretty close to the exact value in

18:23 class case and notice the Castano approximation virtually the same as the exact

18:30 Whereas math goes approximation is off Okay, let's look at another case

18:38 now I'm going to open it up little bit more. Okay, it's

18:40 same thing, but I'm opening up like uncertainty in the gas properties and

18:48 at that enormous range. So I at four kilometers per second actually,

18:55 combination of parameters could give me a increase. Uh Castano approximation exact

19:03 Mafco approximation. The media is pretty , the median of the distribution is

19:09 close to the exact, but look that tail on the distribution,

19:15 So, enormous uncertainty and the uncertainty so much bigger between than the differences

19:23 the approximations from the exact value. , we're going to try a higher

19:32 , so this is a lower So the error and ferocity is much

19:37 as a percent error. And that has an enormous error here in

19:46 case. Mapco is right on the value and mine is a little bit

19:53 , but again, compared to the of possible answers. The difference between

19:59 exact and the approximation is small compared that entire range. Okay, so

20:08 do one more. This is a velocity rock. And here we see

20:13 an enormous difference. Um Castagna is close to the exact answer, but

20:22 is his way off here. by the way, this is assuming

20:30 mains equations are perfect. There are uh you know, Gassman isn't

20:38 It's correct in a theoretical world, there are complications like if there are

20:45 mineral components. Um gas use equations slightly an error. If there is

20:54 low permeability gas mains equations or an doesn't take into account dispersion and also

21:02 effects of invasion. So there are of other things going on, not

21:06 mention catastrophic errors in the density or sonic. I only was dealing with

21:13 errors. So what I concluded and presented these results at the scG uh

21:22 that the uncertainty and the flu substitution is a lot larger than the predicted

21:28 in velocity. Uh and it's usually the error is usually larger than errors

21:36 the approximation. And for that I'm not reluctant to use the approximations

21:43 I understand they were only giving me ballpark answer. And then in

21:48 uh if I'm trying to understand seismic responses, I knew to

21:53 I need to model the hydrocarbon effects . Okay, so I think another

22:04 lesson uh uh fluid substitution. These thai lines between laboratory measurements on saturated

22:16 dry rocks and we have a saturated which might be the mud rock trend

22:23 something close to it? And we our dry line which was P.

22:28 . B. S. 1.5. the open circles are the dry

22:39 Most of them follow the dry There's one up here which was highly

22:44 Calgary is cemented which is off and was cemented. So the fluid effect

22:50 pretty small. Uh And these are lines for the same sample measurement on

22:58 saturated rock measurement, on the uh the dry rock. And a few

23:05 you'll notice here, we were these beach sands. And you got an

23:14 which is kind of similar to what expecting in theory where there is not

23:18 big change in shear wave velocity from to dry, a slight increase due

23:24 the density effect. And Uh A big drop in the P wave

23:33 . Now, these other measurements though kind of interesting. We're going from

23:39 to dry and we're seeing two different of behavior. We're seeing shear wave

23:45 dropped tremendously along with the big Wave velocity trial, we're also seeing

23:52 points where she will shear wave velocity . All right, so, um

24:00 these are on the same rock So, even though the tendency is

24:05 , the trend is more or less , it moves you from the

24:08 saturated trend to the gas saturated Something else is changing In some

24:15 the shear wave velocity is increasing, a lot, some kind of times

24:21 decreasing a lot. Um Can you what's happening with some of these

24:30 Why would the shear wave velocity Um Or actually I'm saying if I

24:36 from dry to wet, the shear velocity is increasing right, uh here

24:44 going dry to wet and the shear velocity decreases. So could you explain

24:51 two different kinds of behavior happening when theory is telling us there shouldn't be

24:57 big change in the shear wave Well, when I remember when,

25:12 we talked about the poor pressure, had it had two implications on on

25:17 VP but one of them was bigger the other. That the bigger one

25:21 that it's often is often the the rock matrix but uh but it's also

25:28 and that softening of the of the the of the matrix models um uh

25:36 the velocity to slow down. Um , but you're this to pressure and

25:42 forgot to mention that these measurements are at the same differential pressure.

25:51 these timelines are connecting points with the differential pressure. Okay. Yeah,

26:00 was going to say eventually there are different pressure. Okay, yeah,

26:04 , that would be a good good . Um I just forgot to mention

26:09 at the same pressure. Yeah. . Let me ask you a different

26:23 . Why would the shear wave velocity when I add water. Their city

26:32 increasing uh well, density increasing with what's going on here. Yeah.

26:50 effect, yeah. Okay good. a good hypothesis. Uh accept this

26:56 is too big to be explained. seeing these very porous rocks. The

27:01 effect is relatively small here. We're a much higher velocity rocks. So

27:06 ferocity is probably a lot less and the effect is much much bigger than

27:12 density effect. So yes, that's a good hypothesis but I think it's

27:18 enough to explain this difference. Could it be that just the fluids

27:26 impacting the the the the rigidity of rock? That's exactly right. If

27:34 have clay's in Iraq you add You could reduce the richard ideology.

27:41 this is an example of frames All right, well, no

27:48 Well, if we reduce the dignity actually reducing the V. S.

27:55 , that's what's happening. You see have high V. S. And

28:00 add water and I lower the S. I ain't going away from

28:06 yeah, I'm sorry. I originate black to the blank. I was

28:12 black is with water saturation. Open is dry. Okay. Okay.

28:19 we going backwards. Okay. So would invoke frame softening for this guy

28:26 , how about these guys? An increase in shear wave velocity when I

28:34 water. It's an unfair question. think the answer. I think the

28:51 here is I said these were at same pressure, but I didn't say

28:56 had the same pressure history, he's . I'm gonna say this is this

29:03 be due to history says, the pressures, they probably made the

29:10 on the dry rock, increase the all the way, then added water

29:18 made the measurements again on the same which had previously been subjected to higher

29:27 . Okay, so I think we're a history since effect here.

29:42 so, um yeah, let's do questions. Since you have your test

29:50 Wednesday. So true of false gas equations are the high frequency limit of

29:57 theory. Fools. Yes, there the low frequency limit. Okay.

30:07 p wave velocity for porous sandstone is ft per second, a likely gas

30:14 velocity predicted by gas mains equations is 81 100 ft per second. The

30:21 C 90 400 or be 1550 And a key word here is

30:39 Does it have to be just my can be too uh well, let's

30:44 the most likely the Yes, that's . I mean odds are it's not

30:51 to increase and it's a sandstone. odds are it's not going to increase

30:57 At 8000 ft/s. That's probably too in effect To go to 1550.

31:06 the most likely answer is 60 Okay, the velocity of water is

31:13 we're as close to which of The answer is all of the

31:20 Actually 5000 ft perspective translates to 200 per foot. But as far as

31:26 goes, these are all pretty So if you see things flatlining at

31:32 water velocity Uh huh. Don't believe velocities. Okay, if shear wave

31:39 for porous sandstone is 2800 ft per , a likely gas and velocity predicted

31:46 gas months equations is which of Gas in p wave velocity? Ha

32:10 . Well, this is the shear velocity. The result has got to

32:15 a V P B s ratio more square were too too Right. So

32:20 can't be any of these. It's . So this is the only one

32:26 would give us a person's ratio greater zero. When gas men's equations are

32:41 to invert ultrasonic velocity measurements for frame it the predicted ratio of frame both

32:48 over sheer module is on the average than one. About one less than

32:55 . So these are not the ratio dry rocks there, the ratio and

33:02 rocks using gas men's equations about Well, they should be about

33:11 If it was dry rocks it would about one. And if we use

33:14 correct Vo equations, as we discussed time, the answer would be about

33:20 . But if we apply gas mains which are the zero frequency limit.

33:26 we apply them to the laboratory measurements extract uh The ratio of frame marge

33:34 , which is greater than one. , now for the next one,

33:41 answer is about one when persons ratio .1. The ratio of bulk over

33:47 module I is. The answer is one true or false. Rock saturated

33:55 live oil generally have higher velocities than same rock saturated with dead oil.

34:07 false. It's the other way True of false rock saturated with heavier

34:13 oils open have velocity similar to gas of the same ferocity. The gas

34:33 is a lot bigger than heavier dead . So the answer is false.

34:41 false. Live oils and gas can similar fluid substitution effects and the answer

34:49 yes. Can doesn't mean they always but they can if you get too

34:53 temperatures high geo are live oils can properties very similar to gas.

35:00 true or false. Gas ends generally higher V. P. V.

35:04 . Ratios than grinds, sands proof false. True or false oil sands

35:14 have higher V. PBS than the shells. It's possible. I think

35:25 possible. Yes. Okay, true false. If x gas exalted from

35:32 or water rock velocities can decrease significantly to that's true. So if I

35:43 the pressure and uh gas could come of solution. If I come below

35:49 bubble point and the velocities can decrease . Okay, I want to jump

35:57 an important summary graph. I want get this in before we're done.

36:04 that's this one. So I'm uh complete the table together and I don't

36:13 the answers in your note. I believe so, you may want to

36:17 down the answers as we uh note . So uh complete the table.

36:25 for example, I'm increasing ferocity. happens to VP? It goes

36:30 what happens to be s it goes , what happens to density? It

36:34 down If I'm in a plastic VPs go up and if I'm in a

36:41 , um it could stay the So you see, you see the

36:48 this works, we're changing one thing we're holding everything else constant.

36:56 So if I increase the confining pressure hold everything else constant, that means

37:02 differential pressure is going to be Right? So confining pressure up,

37:09 goes up. V. S goes . I mean, excuse me ves

37:13 up, density is not going to a lot. So it's going to

37:18 more or less the same in the rock. The PBS will go down

37:23 in carbonate. Be PBS will say the same you with me on

37:30 So you ready for the next Okay, so I'm gonna pour pressure

37:35 going up. That means I'm holding pressure a constant. So as I

37:42 the poor pressure and I'm holding confining constant. My differential pressure is

37:50 Right? So holding everything else As I increase the poor pressure.

37:56 happens to VP down? Well what to be s down soup?

38:07 What happens to density? Same? , more or less it will uh

38:14 will density will go down because the increases. But it's more or less

38:20 same because it's not a big What about B. P.

38:23 S? We're in a plastic We'll go down. No velocity is

38:33 down. Think of the mud rock as VP goes down. What happens

38:37 be PBS? It goes uh right as we as we consolidate box as

38:45 increase the effective stress on them, V. P. B.

38:48 Goes down if we increase the poor were decreasing the effects of stress.

38:55 be PBS goes up. Okay. . Okay, effective pressure up.

39:04 means I'm changing combining pressure and pore together. Right? So effective pressure

39:10 up. VP goes soon. Uh . It's the same as Yes,

39:19 VP goes up. V. Goes up. Density doesn't change very

39:25 what happens to V. P. . S in a plastic. The

39:33 reduces according to modern times. And in the carbonate we're gonna stays

39:39 same. We're going to say pickets are at work. So V.

39:43 . B. S. Is 1.9 a limestone 1.8 and dolomite. And

39:48 doesn't change. We're ignoring, you , super unconsolidated. Carbonates.

39:56 So now play replaces courts. So take courts grain out and I replace

40:04 with a clay grain. Okay, happens to BP slower? Yes.

40:14 you remember from the frio formation equations Sias equations? Right? Uh As

40:22 content goes up, VP goes Okay. What about B.

40:27 What happens to the S whose Yes. What happens to density?

40:39 or less the same? What happens be Pds goes up approaches infinity.

40:53 . And for uh carbonate? Uh a big difference. Right? We're

40:58 gonna have a lot of courts in in a carbon A All right,

41:03 uh calcite replacements quartz? What happens VP? I grew up?

41:10 What happens to be S. You can say what is the same

41:22 now, CBS is the same. PBS goes up, right? And

41:29 BP is going up, let Bs the same. Okay, density

41:36 Yes, be pds of increase. in a carbonate. Yeah, courts

41:46 ports to carbonate lowers free PBS. taking the courts out adding calcite increases

41:52 B. P. B. Okay. Dolomite replaces calcite VP

41:59 Yes, that's if I replace a crystal would indulge my crystal. Keep

42:05 mind when I dial the ties. . Um I could increase the

42:10 So there are counteracting effects. But everything else is constant. The

42:17 is constant. Dole might replaces calcite goes up. What about Bs

42:29 Okay. What about density again? it's interchangeable with the ferocity here but

42:39 it can go up. Yeah if just replacing mineral by mineral then uh

42:45 goes up. What about the Uh huh. Down Dolomite has the

42:56 be PVS and castle Nunes. Uh . Okay. And same thing in

43:03 carbon because it is well it is carbon. Right? Okay. Blair

43:09 porosity. Same model. They replace the same biomom ferocity. Usually

43:22 goes up the US goes up, goes up be PVS goes down and

43:38 a carbonate. If you follow the rock high velocity it's um lower

43:50 PBS than the limestone. So a limestone should have a lower V.

43:57 than a clean limestone. Okay, one should be easy calcite replaces

44:04 BP. After the US up density the PBS in a classic that's it

44:19 go either way. I don't know same thing in a carbon A I

44:23 know. Okay, now limestone is sized. That's not the same thing

44:30 element replaces calcite. Right now there be a ferocity change. So

44:35 P. I don't know if we up, it could go down.

44:39 with the s same with density. be PBS will go down in the

44:50 . Okay lift. Ification increases. . Oh the s up up

45:02 Uh uh V. P. S. Down. Right? Carbonate

45:11 be the same. Okay. Uh increases VP V. S.

45:23 Mhm. Oh actually, oh P. B. S. And

45:29 plastic. Yes. Yeah. And going to skip a car if I

45:38 it, that means there's not a . It could follow up.

45:44 Age increases VP of the US. huh. The previous. No.

45:58 , depth increases VP the s. density of the PBS. Them.

46:11 . Okay. Some gas is Bp don't the US uh and be

46:24 slightly up. Yeah, very So you could say the same.

46:28 talking to some gas. Not Okay, density go slightly down or

46:35 same. Okay, be PVS. . Okay. B. P.

46:45 . S. V. P. down. V. S. Is

46:47 same. Or up PBS. More gas is added. Bp

46:57 Yes. Yes. Up density. , Down the PBS sink.

47:11 exactly the same. Uh huh. . Oil replaces brian. And here

47:18 talking uh we're not we're not talking heavy oil here. So oil replaces

47:24 , B. P. Done down little bit too a lot.

47:29 S. C. Pretty much You know, slightly V.

47:37 B. S. Flight good. , fractures added to a blind saturated

47:46 . Bp. And physiotherapy depending on direction. Yeah. Yeah.

47:53 I think you know what? I you guys have got it. So

47:57 let's call it quits at this I'm sorry. So sorry, just

48:04 . So fractious added in brine, rock. Bp goes up B.

48:14 . Uh Oh I'm sorry fractures added goes down. Bs goes down

48:22 Be PBS goes up, density doesn't very much. Okay, fractures added

48:30 the gas saturated rock. VP goes . Bs goes down, density goes

48:38 well or unchanged, and D Pds the same. Okay, frequency

48:47 BP goes up, Bs goes Density is unaffected. V.

48:53 B. S. Do we know ? I would say if he if

49:01 goes up the pds, the PBS goes down, but I don't have

49:08 of that. Okay, so it be the same. I would have

49:13 the same wrong. Let's put it way. Okay, temperature increases VP

49:19 down. V. S. We really know. We saw some experiments

49:27 it looked like it was going but it's a B. S.

49:30 pretty much the same density. What density do as temperature increases? Go

49:38 ? Go down because the fluid becomes dense. So, if VP goes

49:45 , what do you think happens to PBS in a plastic goes up?

49:54 . Well, the question here. , so, so we're assuming that

49:59 Gs is the same and the only is going down? Oh, that's

50:03 good point. Oh, that's a good point there. Okay,

50:11 you're right, the PBS should go . I need to think about this

50:18 , you know, I almost got of here in time and by the

50:21 , temperature is cut off from your your slides, so it's not

50:28 You're right. I screw it. is the last thing I would do

50:34 tape. I'm screwing up. All . Any more questions before we get

50:41 of here, feel free to email , Okay, I'm gonna stop recording

50:47 I will

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