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00:02 top. Oh, but uh let just go back for a moment.

00:16 were talking about solace, but in more general sense, the variability of

00:23 shales and how that variability uh results of their ability and their frack

00:33 Uh and so this was a slide had shown yesterday showing just some of

00:38 variability and uh composition different residents. uh let's see in this one as

00:47 . Um I don't think I have uh separated here, but just look

00:56 this reservoir here, whatever it Look at the variability in percent

01:03 Uh huh Or so we don't Certainly, I don't have many geologists

01:10 understand why there's so much vertical variability frank composition, but the reality is

01:18 see and accept and can explain a of vertical, very building composition of

01:26 box uh Porsche Greenlaw because we understand environmental deposition. We understand the processes

01:35 they form. We're just not there . Shit. But there'll be a

01:41 when we will be able to say better that certain processes reflect certain changes

01:50 deposition. Farmers that in turn affect . Dutch, potential fact that

01:57 So I just wanted to remind you that. Um and uh go back

02:09 the next topic, which is fluid and seven transport. Mm Okay,

02:28 , I'm going to mainly focus on issue interaction. So I'm not gonna

02:33 about it Julian. I'm not going talk about bi modal title and to

02:39 large extent, I'm not going to about gravity flows. I'm going to

02:43 about like debris flows or we're going focus on flow that is transported

02:52 Okay. Now, when we classify flow, you know, the bulk

02:59 what I'm going to talk about flu systems. It really applies to a

03:05 of transport mechanism. Uh We can about how the flow changes the

03:12 how it changes with time, how changes with this relative stability.

03:21 it's relative roughness, Well, Lost. Yeah. So these are

03:28 different aspects uh Let's say channel Okay. Um so one of the

03:36 we'd like to be able to know how strong is it clearer when we

03:42 about conception of motion, when we about the transition ripple to dunes,

03:47 when we think about reconstructing uh paleo , we want to know the velocity

03:54 something. Some measure of flow. velocity is the most common.

03:59 But the problem is, and I this and I talked about measuring suspended

04:04 , getting a suspended set of rating , velocity changes with them at its

04:10 in the upper part of the river down. So you're taking average

04:17 You take it through doubt. Do take it one m? You take

04:23 at 2/3 the depth of the All of these are possibilities. And

04:28 do all of the above. The thing, you might think of

04:32 you know, lost the It's really what moves said, it's your stress

04:39 take the bottom shear stress but shear which is a function of the gradient

04:45 the viscosity, very parameter will come . So what that means ideally we'd

04:55 to know what shear stresses the bed so we can get their faces slow

05:05 . Yeah. Yeah. It varies little bit unusual shape. We also

05:15 your boss. It turns out that's sure stress expressed in units. And

05:24 of the reasons we do that is here stress units or something. I

05:29 remember. Yeah cheer velocities. You said 46%. So it's intuitively easier

05:41 still based on shared stress. And show you how to get that increasingly

05:49 seeing Plots for seven exception deconstructing bed using shares and finally strange power that

06:03 the lost two times a shear stress out it's a good measure of quantifying

06:10 amount said is being transported. Now I talked about how downstream uh

06:22 could change if it doesn't change. . When I say it's a lot

06:29 the changes lost respect this zero uniforms Mhm. Yes it is. This

06:38 be not this time. And one the ways that visualized is looking at

06:45 change in water depth. Now what assuming is a constant whip. We're

06:53 a chance and what we're gonna do we're going to look at these flow

06:59 as if there were an infinite no , small cube of water and they're

07:06 in a relatively straight well we're ignoring for second and they're moving parallel to

07:12 other. Okay, so everything is . But look what happens where this

07:20 in this water merge. We're going squeeze those flow lines closer together and

07:34 we're going to divert where the flow are converging or diverging. We have

07:47 careful flow. Now it turns out also have acceleration and deceleration because the

07:56 these flow lines occurred to each the faster the floor. So converging

08:02 lines is increasing losses. Diverging. lines is decreasing awesome. Now what

08:10 can in turn result in is increasing In the one case, increasing deposition

08:18 the other. And that actually explains in most cases with bed forms.

08:26 bed forms, we have erosion on upstream side and deposition on the downstream

08:34 . So if we're dealing with ripples dooms, they migrate that is the

08:40 ripple for bed for migrates them street of this relationship. Now we'll see

08:47 a moment how this relationship would differ something like an antique. Now,

08:53 I've shown this for a river, have non uniform flow and flow convergence

09:00 divergence in all sorts of settings. are actually for the slope.

09:07 And so you can imagine increasing lawsuit going downslope hitting a flatter slope and

09:18 down because the last days the function slope. So we have erosion

09:26 There's a variety of different geometries that can division both in plan view and

09:31 cross section where these flow lines beat , The turbidity curb or current channel

09:40 convergent. Now we can also look flow, the changes with time.

09:49 we can look at the change in or discharge and this might be a

09:53 river when a storm comes, dumps lot of water, the velocity and

09:59 discharged. This could also be the with Iran increases and decreases. It's

10:07 . So yeah, now, if want to know about shear stress

10:15 we can go back to our flow and we see that the flow increases

10:21 we get higher and higher in the and the change in velocity with elevation

10:29 here at least a relative constant. so that slope is the viscosity.

10:37 so the bottom shear stress is the city of that basically terms.

10:46 it turns out there's two Wisconsin decision Wisconsin which is essentially the robbing uh

10:54 parallel flow lines going against the molecules one flow line or rubbing against the

11:01 next flow line and they slow each down. Yeah, there's also kinetic

11:10 and that has to do with the and Exchange effective change of momentum between

11:18 two floor logs. So, clearly going to be more important in a

11:24 flow. So let's look at the type for constant viscosity, the shear

11:35 increases with sheer strength. The strain the change in velocity in this case

11:42 elevation. And so the newtonian fluid a constant, lost any plots as

11:49 straight line and has no shear So it any appliance stress. Any

11:56 stress is going to result in sheer in strength. Perfect. This is

12:04 newtonian fluid, lower viscosity, more for less stress. Okay, now

12:12 could envision fluid that had a shear . The yield strength. I share

12:23 and uh that fluid and I'm using term fluid now incorrectly about correct

12:33 A normal as you apply share there's deformation, tell you exceed its sheer

12:43 and then it begins to deform. what that really is is a plastic

12:47 plastic, it's not a newtonian but it is a brief. So

12:55 example, and so although will not about it right now. Uh We'll

13:00 about it when we start talking about fans, for example. Uh There

13:05 a variety of different fluid responses that mainly with respect to settle in

13:16 Uh Now with the bingham plastic viscosity constant once it fails or begins to

13:23 their set, there are other types fluids and plastics that change with uh

13:33 so that they're a nonlinear response. , non cohesive debris flows like

13:42 Uh They don't have a constant a cohesive to refloat does. It's

13:48 got a sheer strength. A turbidity , isn't it Tony flew. So

13:54 be thinking back on how an applied results in a strain and fluid motion

14:02 this course. Yeah. Now it's enough to visualize basal shear stress is

14:08 the wait of the water parallel to bottom. Clearly it increases the depth

14:18 was slow. Okay. Uh It's really easy to measure though. And

14:28 we're going to approach your stress even we'll talk about basal shear stress,

14:33 going to use a different approach. . But conceptually this is really a

14:39 things visuals. Yeah. It's also to remember the difference between laminar and

14:45 flow. Laminar flow is basically those lines pro parallel to each other with

14:51 the molecular viscosity slowing them down. has a vertical and horizontal, lateral

15:00 forward fluctuation. And so this has exchange of momentum that slows down the

15:09 flow lines even so that's why when look at it lost a profile and

15:14 flow more parabolic in terms of its no longer with. Now it turns

15:23 that turbine flow is the north in Service. Laminar flow is unusual in

15:31 fluid. It's the norm in plastic like alluvial fans or rather debris

15:39 So we're going to see that the importance of lamb, universal turbulent

15:45 various thing what's setting we're in but still like to know at what

15:50 let's say water it goes from laminar flow and that quite cursed at a

15:59 . Real stuff. There is a number which is a conventional ratio of

16:08 discus forces. Yeah. That for a generic sense Is a Lobster Crippling

16:18 Life and Stuff. There are a of different forms of the rentals but

16:25 all are in this format. What on things like what critical lost you

16:31 using? So an open jail for meaningful, meaningful. That came that

16:45 . Mhm. Whoa. Reynolds number Reynolds number church. So if you

16:52 laminar flow you are low numbers, law, seat loaded or high annual

17:02 . You want to increase the real the recently increased lost. It's for

17:14 channel flow. It's about 2000. . Right now if you do the

17:23 you try to squeeze down depth please velocity. It's almost impossible to get

17:33 flowing so small. This lack what need to do is increase this

17:45 So if you want to lower rentals try to deal with slowing it

17:53 Up up discussing that's the way you're to get laminar flow. It is

18:02 now and uh in nature Which is increase the velocity by increasing seven

18:11 The main way we increase viscosity and we're interested in is increasing the

18:21 Now said earlier we get cheer stress actually looking at the profile on the

18:34 flow. Yeah. Now you've got different profiles here. But if you

18:39 these on small semi log paper. know, it's it's all strippers.

18:46 it is based on long rhythm. ready to change here is inversely

18:59 You don't call you stop for this . So this changed has a cold

19:10 stress. This changes in my cheers. So what we we do

19:18 a case like that we actually want . So we made the last three

19:27 project a straight line and we get slope that's slow its share with

19:38 eight years. Mr Johnson. that's all. Again this report.

19:51 increasingly we both feel and experimental data are expressing slow strength in terms of

20:00 lost. And again, memory is a real velocity is the share

20:08 Mhm. And said that right as increase the distance from God bed and

20:19 increase the heart. There's actually zone we have landed before. And that

20:28 breaks up. We increase height. point will begin to devour security.

20:38 there's a possible at the base of very smooth body. It's cool.

20:48 that's called this system turbulence is We have fully felt tournament. Now

21:01 only exists if you've got real And it turns out that the way

21:08 can break it up is have great sand that is instead better than

21:15 This is separated. But he had fine sand and it's flat bottom.

21:24 actually have a what we refer to a hydraulic hydraulically smooth. But if

21:30 have mediums of workman's hands or the himself. So he had some hydraulic

21:40 . And sediment movement varies depending on you live. These biological smooth.

21:48 my God. We talk and See Yeah. Oh so the profile

21:59 get broken up. This is some . See it. The way in

22:05 we transport this seven in terms of is different than here. Right?

22:16 other thing is we think of this , this log rhythmic profile. It's

22:23 the mean velocity. There are intervals with. So what's really changes.

22:36 profile rossi slows down and then there's by and eight races sweeps first sweeps

22:49 here. This is the first cycle sleep cycle. And what that really

22:57 is the transfer of turbulence from that on song fire up into they have

23:10 britons. And this is the way sediment basically put into speech by these

23:18 and streams. Yeah. But one from here, I love them

23:33 We see increasing debt increasing self. increases here we have a decreases with

23:49 cost. Now this transition from uniform not get impossible. The increasing

24:00 Pretty much transition. It is a and unstudied. This is a tremendous

24:15 of energy and what hydraulic jump and it occurs to go from this condition

24:30 definitely speak to flat. So let's what that is. Mm. So

24:41 the real remote tranquil for that's kind just leave it for that term increasing

24:50 interrogation critical point. We have to turned out this is a separate and

25:03 it slows down again. Shooting It's a kind of that transition on

25:17 critical super picture. Is that a . So in order to understand different

25:26 and its ability to transport deposits. . We need to look in a

25:33 the bench. Let's not in addition the Reynolds the fruit before we do

25:38 . Let's just let's see what it like you here. Is that some

25:45 close? I'm right here they Yeah ready. And this hydraulic jump

26:01 Yeah. So okay. The bed . Thank you. They're free.

26:12 is that? The ratio of inertial its lawsuit the lost democratic At the

26:25 of gravity waves function one death. used me some you want to visualize

26:35 a gravity wave looks like a throw rock and pop rocket or

26:42 The speed with which that ripple propagates from the impact. Is the speed

26:49 the gravity way the deepest pond. faster problems. That's why tsunami,

26:57 is the gravity weight was very fast it's a really now some critical was

27:09 flow defined by the number results in in two different worlds Of seven.

27:18 performs in the opposition instead of Uh this article here 17 effective fresh's

27:29 architecture From for about the last four , maybe three. You know,

27:35 say five. Going to um we've an almost exponential increase in the recognition

27:46 supercritical flow process. And they're sedimentary both in the lab and in the

27:59 . Yeah. Now, in anticipation later uh we could actually have what's

28:07 the incident here. Uh huh. deal with here. We're looking at

28:18 relative densities and that's related to settlement , let's say a turbidity current versus

28:26 online for Mhm. So they're the is the thickness of the media

28:34 The density contrast is a function of ambient water versus um concentration. And

28:42 we can talk about upper flow I'm sorry. Uh with supercritical flow

28:51 turbidity currents kilometers deep or on a millimeters deep. Now, one of

29:06 things that I showed earlier, what the water pinching? That is one

29:14 and pitches later described. It says the water surface is out of

29:22 That's God. Now, down here something the water surfaces infants, the

29:33 , what that might be. You , uh you could actually think this

29:37 of like water. Uh huh. a head which is a measure.

29:46 . Well, Mhm. That includes allegation, the pressure in the

29:54 There's a lot here. This it's an elevation that represents the total

30:04 in this system because the water is there's a kinetic energy as well as

30:11 and the faster the water the greatest . Therefore the higher the probability The

30:19 between one surface, which is the and this energy law is invisible.

30:28 a measure as that kinetic energy The kinetic energy instances institute that makes

30:44 . You got slow convergence, increased here, flow diversion deeply.

30:56 This geometry is easy lunch. What unless it is is this set

31:08 we had in faith? What? so look what happens to the

31:13 convergence and divergence. You don't really any. Yeah. Look at that

31:27 line. Yeah, there's a change the energy is decreasing year.

31:38 And increasing here now. That's But it has an interesting impact.

31:46 means that we're as for the energy here we have a solution and here

31:52 have deposition here. The energy is here. On the downstream language

32:01 energy is decreasing here. So we deposition on the upstream side now in

32:10 that settled is derived from erosion here deposition here erosion here, deposition

32:21 So the sentiment still moving downstream. the bed form is actually moving upstream

32:29 the downstream age is eroding in the the opposite of what happened to

32:36 Yeah. So what that means is as we break this up because But

32:51 how the empty velocity version deposition Each of these. Yeah, the

33:05 under which this your water phase is face. Self great When we pass

33:16 critical through number one until into the . Yes. Uh huh. Self

33:28 shoot that transition that we talked about terms of increasing velocity, increasing prudent

33:40 in this new world. Super. a good thing uh In the next

33:49 we did it. Yeah okay. want to get segment moving we're ignoring

33:57 set you can traction on the you can bounce exaltation and you can

34:02 it partially continue in suspension. We also define it is dead load which

34:12 all stations are suspended. There is controversy going on now about Washington.

34:20 term watch loan refers to that portion the suspended sediment that is never off

34:28 has to be something it's not the within the river measure it stays in

34:39 intermittent suspension. No at least spend time on death. Some question this

34:51 the confusion is coming because we're seeing and more than clay is not being

34:58 . This clip on being transported flocks this transition into suspended load and then

35:06 load has continued suspension is a little biggies. I'm gonna focus right now

35:14 the bed look and what we have screen lines over particles emerge, conversion

35:24 lines need some christians. It turns were newly appointed expression so we actually

35:36 a pressure gradient it gets in there of different pressures you So that is

35:48 list that we have to ensure. he says there's some kind of combined

35:56 to try to get that part of movie. So increasing the cheers,

36:04 and increasingly lost eight. We'll talk that part has the potential for basically

36:13 motion. Oh I'm not going to about this. Mhm. So we

36:24 at the moment. No exaltation That's because of the little viscosity,

36:33 balance internet suspension siltation. Notice that he wants to stay in, it

36:42 to fall down, get directions. also uh provision of meditation or grains

36:55 and keep themselves into more substantial. you see this is recreational from rolling

37:04 bouncing to intermittent consultation and uh are coming into uninterrupted. So until the

37:18 and tell the velocity slows down. german slow down. It will stay

37:22 suspension and it's your fault now engineers long time have been interested in

37:35 emotions, the point at which erosion And it's important because engineers don't want

37:43 to erode like the bed of pierre . And so early on the created

37:54 it's expressing shield doctors between no motion motion and it's expressed in terms that

38:03 no intuitive sense. Parents field There is a Crane Reynolds one the

38:17 number of autumn stress divided on She can have many, many numbers

38:26 saw and see uh capacity and He this is not a relationship that's

38:35 to visualize. Uh huh But if look at it for a second.

38:42 got philosophy here. You got that's and here you've got three characters

38:57 wow, maybe you can rearrange things so you can rearrange the reunions retail

39:05 you make certain something in the water change. And a great example for

39:15 that you can look at velocity in rain by hand and you see that

39:20 get it moving the course, you , this is you that's velocity and

39:28 year ago. Why that? Because what the experiments, but that just

39:35 emphasize the fact that we use a of different causes. But this now

39:42 critical velocity is something we can better and we could also used maybe

39:53 I agree. Yeah, so we a lot of lossy shear stress we

40:03 use here. The loss. So is the kind of my grandpa used

40:11 say because this is the same such in order to tell whether or not

40:20 instead or not the problem is a wants to know more geologist wants to

40:28 what happens is that saturday is being and they are awesome. So where

40:36 the engineers might only be interested Is it moving or not? We

40:40 like to know once it starts it was a good move with increasing

40:47 goes from no motions, attraction to . Okay, now there's a good

40:54 which we go from fractions recognizing the they felt conceptual response, where does

41:03 occur? Well, in order to that, we need to think of

41:10 fall velocity of that part of in words, in quiet water, that

41:17 will fall in particular philosophy to keep in suspension, there has to be

41:22 upward component of turbulence, at least that magic and experiments against here is

41:38 uh you start. Yeah. First they yeah, fall whether you star

41:53 equivalent and falls loss or great the does in his speech well. So

42:00 it says here here, there's no In which 70 transported distraction. Mm

42:09 beyond that as suspension. Okay. . So we're gonna look at how

42:20 then becomes our some of the bedroom . This is what we're gonna see

42:33 . A couple of other thanks to confidence is a term we use for

42:39 course's greens that can be transported using shield on capacity if proportional is the

42:51 of the center. Yes, proportional some power function. Philosophy.

42:57 difficult kids. I'm not going to with this too much except that these

43:05 terms that use. But the variables talking about and are locally important,

43:12 in terms of predicting sediment load and it for capacity. Oh yes.

43:23 when you begin to look at sustaining , we usually think of it as

43:36 but when the flow velocities get pretty over a beautiful sentence. You again

43:44 . Yeah, fine great city And you continue to increase three or 4

43:53 percent you can be a force and lot of it's important to realize the

44:02 uh change this possible in terms of set so that we could literally have

44:13 in suspension if the velocities are Now the other. Think it's a

44:22 confusing. Yes, when we do that she'll diagram is the emotion when

44:32 look at the Houston time this line . Yeah, that's what we're talking

44:43 Children. But notice he said That train line, it says it's really

44:56 bring seven. It's harder and Or this line here that position.

45:06 where there is no function. Well students here it's basically stops me.

45:14 , it works too that transportations it's bus. So my sense is it's

45:24 kindly silk for you when you get . It's easier to keep it

45:34 What now? Why don't you have the final grades out of a electrostatic

45:43 articles. Makes it harder issues Yeah, but they can stay in

45:51 even so. So this is a basically this live this expansion is associated

46:00 cohesion. With uh cohesion and Mud also is except for any length

46:10 time is very hard to. Mm we're looking here unconsolidated this past

46:20 Remember that line said Mhm. You following this is shit. So because

46:37 can just have traffic triangular. So the bed loan transfer. Can we

46:46 this done? Make it look like or we can make it look like

46:54 using cheer stir. Now this is kind of a convenient shape because it

47:05 us to think about how fluctuations and might affect the. Mhm. Very

47:17 variation in size and great friends. the kind of year we've got this

47:27 grain stocks can be transferred. stressed way up here. You've got

47:36 much wide. Was that referred to well sort the bed load materials You

47:46 fine grained and 40 cents. Yeah. He also says if you

48:01 turbulent situations and how much water you size courage. Okay, anonymous.

48:16 . Now one of the things that ended with yesterday was the idea that

48:21 could put on a probability distribution on very predicting. And we can also

48:33 at not so much a probability distribution the grain size distribution. Mhm.

48:40 the probability distribution shear stress and the son. What set Now I've expressed

48:54 in terms of critical share experience. are no longer looking for inside your

49:02 . I'm looking at critical shear stress to remove them. And it turns

49:12 this sand is not. But as begin to increase the here stress we

49:20 to have some higher velocity. We're to wind up the fine grained material

49:32 that bedroom. And this week move and more we can see more more

49:42 they and training and we can talk transport state reading. Yeah, amount

49:56 . Well I'll skip the tap. cannot set I'll set Sure a

50:12 She had 16. Yeah. This not set this in the underground black

50:25 . So different when it will be gravitate. But we also get in

50:31 where we can end up with the paper, the base of the

50:36 Yes the shear stresses for nothing, . But yeah. So we need

50:45 think about how we expressed uh flow type, how we express measures

50:56 flow strength and how we can look the patterns of bed load and suspended

51:04 . Transport as a function of both size and sheer stress. And what

51:11 will do is lead us into the topic today which is basically bed forms

51:17 sentiment construction. Uh But that's where gonna take a brief stock. Uh

51:24 not go on and stop reporting.

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