Thank you and thank you for inviting me here and I'm glad to be able to make the trip up here to Atlanta and speak with you about the work the Myself and some colleagues been doing on the suspect title streams as an energy source. So basically what we have done here for about four years. We started working on looking at titles and energy for Georgia and it's now spun up to a project we're doing this assessment for the full United States. So this is a department energy project that we have been working on for about two years now. So first I want to talk about different forms of energy from the ocean. There's a variety of ways you can extract energy from the ocean. You have Wave Energy Tollner G. current in. Thermal energy wave energy the is the when you go to beats you see waves. You can they have a lot of energy and they actually have a significant amount of energy in them. The problem is how do you extract energy from them. There are literally hundreds of ideas out there. None of been proven because it turns out to wave energy. You can build device you can put out there in the ocean. You can extract energy the biggest the most difficult part is what happens when a storm comes there and you get so large. There's not been any devices that So Dr Long term a big storm comes in. Absolutely. Wipes them out. Some basic numbers you get into up into some coast up in Ireland in that area up in the North Sea They have so much wave energy up there under storm. I mean intense storm conditions but this happens at least yearly they can have waves that are delivering. Two to three megawatts of power per meter. Those are and Norma's numbers. They're not trying to extract energy that point time they're in survival mode at that point trying to get whatever device they have to survive beyond the storm. For Georgia in the southeast wave energy are waves are tiny because we have this broad continental shelf down here on the coast. So the waves are coming from the deep ocean. They're propagating across the sparely shallow water a lot of bottom friction by the time the waves reach our coast. They're pretty small them in order to extract energy from the waves on the southeast had to go pretty far offshore and it's just not practical for total energy that's when I talk about today current energy this is ocean currents occur. There's one primary ocean current that's of interest. That's the gulf stream the show a lot of energy involvement off stream. It's persistent but it's not always you think it's just flow in the same place. Well this thing actually meanders around as different strains as pulsates are being shed so it's not a completely straightforward issue for Georgia the Gulf Stream pretty far off shore it's not terribly practical the big hot spot for the Boston coming down in Miami. Because it's only a few miles offshore down in Miami area jobs have large population centers there's plenty of demand. So there's a lot of work going on and if I were in a cost free MS energy source. One of the issues that they're working on is if you start struct energy from the Gulf Stream. What's the impact going to be because if you extract too much energy from it. You're going to cause a winner to occur up in Europe because a Gulfstream brings heat up to Europe. So the climate in Europe could be completely changed. And if you extract and wipe out the cost that would require extracting a tremendous amount of energy. The last categories thermal this is ocean thermal extraction that idea there is you use the warm water in cold water so you use warm water it's on the surface you go down deep and get the cold water and they're able to generate electricity that way. That requires access the warm and cold water in the general vicinity. That usually means large debts where you get the warm on the surface and then you go down deep from the cold water. There's not many places where that's practical hotspots the United States there's Hawaii because there you can go very close to shore and have the necessary depths. So I'm going to focus here on the top of energy. So first I'm going to be a little bit physics of ties some based on how many of you all are familiar with it's most people know the tides the rising and falling of the water level. But what's less known is what actually causes that. Well the concept is it's the gravitational forces from the moon. So you have the moon. It's pulling the earth towards it. Pulling the water particles towards you get a bulge of water going towards the moon. Well of course the gravitational forces pulling the moon earth towards each other they don't actually collide. I mean obviously they haven't collided. It's what they do is they rotate around each other so they're just spinning around and around each other. Generating centrifugal force. So what happens then is you get a bulge on the other side of the planet as well so do the centrifugal forces. But look at the breakdown of the forces. Yeah the gravitational forces the blue vectors going towards the moon and they happen on both sides but because it's a function of the distance the gravitational vector on this side is larger than on this side. Then because they're spinning around each other we have the centrifugal force pushing away from the moon and those tend to be the same size on either side of the planet. So on the side of the planet towards the moon. You have a net force that's the blue line here the blue arrow you have a net force pushing towards the moon's that's generating this bulge or water on this side on this side the centrifugal force is larger. So that means we now have a net force pushing away from them that gives us the second bulge of water. So then as the moon rotates around the planet you and up with these two boulders of water one that's fallen the moon once on opposite sides and that's what's going to lead to the. High tide that occurs the base that pulls water at least the high tide occurs twice a day but it follows the lunar day not the solar day. Well there's multiple constituents mall but ways you can add up the tides there's not just the lunar tide. There's a solar tide the sun has the same effect. There's gravity pulling a lot of particles towards the sun. So you're also going to get a tide that occurs on the solar day as well. And then there's the different distances the moon is not always the same distance from the earth. So there's all these different constituents that can be then add together and overall there's literally hundreds of these possible constituents and there's nonlinear facts that you have the constituents acting together. You end up with additional constituents. So what we usually do then as we sum them all together. Well when you have a high tide from one and into a high tide of another. You can get what's called a spring tide. So what happens if you think about just the two main constituents the moon and the sun so when they coincide you get high tide both the current exact same time you can get a much higher tides so this is going to be when we're. I have a new moon. So when the sun is here the moons there are in line with each other or it happens on the full moon because remember this is where the bulge on the opposite side. So you've got the moon here pulling its boulders but the sun has its bulge on both sides So again they're coinciding so on either or New Moon or a full moon we get what's referred to as a spring tide as just the case where the tides are larger than average. So you get the larger tides on that scale but when the moon is in the one the two quarters. You're going to get a much smaller tides because they're your lunar tide high tide is going to match that up with the solar low tide. So that reduces the overall amplitude So when you add these together you get this modulation this is an actual time series of some time. Near Savannah. So we see we get the spring tide here where the high tides higher low tides lower than the neat tide here where you have much smaller variation. Then this that varies on a time period this is about a two week from one spring tide to the next spring tide and then it varies throughout the years. Well the overall time scale if you want to take all the constituents together and figure out when it's going to repeat is approximately eighteen years. So if you want to fully resolve everything you have to go out somewhere and measure the tides for eighteen years in order to fully resolved the most accurate result we generally don't have that type of time scale in a project to go out and wait eighteen years for results are a lot of places they have been measuring that long but we can do a fairly good job with much shorter measurements. So here's a look at more about how the constituents work equation is quite simple. You're simply for the water level you're adding cosigns you have an amplitude which is unknown for a particular location that's going to vary depending where you are you're going to have a frequency. That's known that comes from astronomy we know the frequency of the sun rotating around the Earth we know the frequency of the moon. We know all the different constituents frequencies that's a given and in the face. So the different. Of all the different components that's going to vary in space as well. So the two unknowns that we try to find for each constituent is its amplitude in its face. So there's just a list of a couple different lunar semi Darnall into that just means that a lunar tide that varies twice a day and it's two same thing before the sun then you have ones that just very daily. And then you have a bunch of different These are just some of the major ones we have there's also thing called over tides these are the non-linear So the interactions between the different tides can compute. The end up of higher harmonics so the M four is the type that happens four times a day and six happen six times a day and there's higher constituents as well. So the end result is you take all these different time series all these different cosigned waves. Yeah them together and this is what you get is you just do simple superposition of them right. So how do we get energy out of tides how do we base the bottom lines how do we generate electricity. Well there's two basic methods. One is you go out and you build a dam and this is what's referred to as a total barrage you take unnecessary turn flood tide when the water is flowing in you open the dam up and let all the water come in. So if you reach high tide you close the gates. Once you close the gates you let the water outside of it drop. And you get a sufficient head differential between the inside and outside then you let the water run through a turbine and it's basically acting just like a traditional hydroelectric dam. The drawback is you need pretty significant head differential for this to operate. So you need very large Totteridge is there are some places that that is possible. One place up in the Bay of Fundy where they have a more than thirty foot tide range. There are some places in France that they are doing this they have a couple of these facilities in operation right now drawback is the environmental impact is actually quite significant because you've completely changed the dynamics of us sure you're going to wipe out your eco system when you first build this so it can recover but what's going to cover is going to be different. So the pet care. This is going to be a very difficult thing to implement in the United States. So the alternative is to do what's called a tidal turbine farm. This is based on a concept very similar to wind energy you base can think it is underwater windmill you put some device under the water that's going to strike energy directly from the current so you get the flow and you're trying to extract from the kinetic energy directly. So there's a examples of a number of different devices. I like throwing this one. They're even doing this down in Brazil providing some power from the Amazon. This is what's referred to as marine hard to connect energy where you're just trying to extract energy from to generate power from the kinetic energy. There's just a variety of different options that always. As you see most of these are conceptual drawings because this is a very new industry in its infancy there's nobody doing this commercially yet. And of course they always like drawing the fish around them so and that's a Vironment some really nice lot of them had this open design that so they allowed the fish to swim through them saying they're not going to be fish choppers we're not going to make sushi out of this and for the most part these things do spend quite slowly the R.P.M.'s are fairly low. There are relatively benign devices but we don't know for sure yet there is a lot of studies that are going on now to assess the environments and packs. So how do we do assessment of power one simple thing is to calculate what is the power density kinetic power density that's available question for this is quite simple. It's just one half of a cube you take your velocity so this is TELL you how much power per unit area so this is looking at a vertical section of how much power you have won't flowing through a unit vertical section of course a real turbine. I mean this blue curve shows it increases with the cube of lost the so it increases rapidly. One nice thing is the density of water much more dense than air. So we get a lot more power out of water than we would out of the quiver of lost the in. Air. So we don't. Need as much for anywhere close to the same velocities and water as we need in air. But of course for real turbine There's losses you are going to have a maximum efficiency that you can extract a certain amount of power there is also what's referred to as a cut in speed to get the blades turning you need a certain amount of force before you can even overcome the friction on the turbine to get the blade spinning. So that's what's referred to the cut in speed so for example you know right in this example we have about a half meter per second cut in speed anything below half meter per second. No power whatsoever things not even spending. Then you get the swing it starts spinning and then you start dinner electricity and you have then efficiency so you're only going to extract a certain proportion and a forty percent maybe fifty percent. There's sort of an upper bound of around fifty seven percent is what's considered the theoretical limit. So we see here. We're not extracting everything. Then generally there's going to be a flatlining you're going to hit the rated limit of your turbine you have some limit where that's the fastest This thing can spin and after that point doesn't matter how fast your flow gets You're not going to increase your power output you're going to totally flat line your turbine. So this may be the curve in theory this is in practice what we can extract. So how do we go about doing an assessment. When we first were faced with this we said well let's find any information about the Tata currents that's available. Well I know which is the National Oceanographic and Atmospheric Administration they put out lots of information about tides a lot of total predictions they put wallowed predictions that but current predictions and these two maps show for Georgia some of the total current predictions for this is the Savannah River. And a couple things to say what I'm plotting here is actually the power density. But it's based on the cube of the velocity so it gives an idea of how large of lost it can be when the points here. Look how much it varies. This is just along the Savannah River the flow rate you could think it's almost. Constant as it goes up here so the flow through here is equal to flow through there yet. The power in the main currents are so different. That's because the flow is the river. It's a natural river it could it converges it expands. Well conservation mass tells us when something converges for alright stays the same but the glossies have to go up because the area's gotten smaller. So what you see is if you know the currents in one location. And you go hundred meters away you get a totally different current field. So just because you know what's available in one location and it doesn't help you for knowing much about the neighboring areas. The other problem with this map and the quality of these predictions from Noah turns out most of these predictions in the Savannah area and much of the southeast. They came from some measurements Noah did back in the one nine hundred thirty S. quality of those measurements is quite suspect to say the least. Knowing that they did the measurements for one to two days. You can't do totals it's very difficult to do any predictions based on only one to two days worth of measurements. So the quality of these measurements they're off by a factor of two three four and they the errors associated these is quite significant. So using this as a detailed assessment is just not going to work. We can have twice the current get half the current We just don't know. So here's an overall objective for our national project that we did on just briefly Save Our idea is instead of using these measurements or using those type of predictions which are so suspect what we'll do is we'll use a numerical model good thing about tides they are very predictable. They are deterministic we can run in America model we can force the tides on the offshore boundary and with that we can run the numerical model and come up with very accurate predictions for what the water levels and what the currents are going to be. So this is a case where we can actually run the model and predict in the future what the tides are going to be. So our objectives here first use the model simulate the tides. Once we have the prediction so in the model that is this time series we can then calculate those constituents as harmonic constituents. We pull straight out of the model. This is on high resolution we have resolution on the order of two hundred to five hundred meters. So every two to five hundred meters on the entire coast the United States we come up with these predictions for the tides will have to validate it we do more running the model for some period in the past we take measurements to actually validate and calibrate the models we're going to have a lot of quality control that's a big part of this project. We then take this data we put it into a G.I.S. database and I'll demonstrate that here in a little bit and we have a quite a few different tools that we can use with this database. There's things ventures there's someone who's developing this technology they have a certain depth you put some in the water. What's going to be well below the water surface because a boat is going to come overhead you want your boat running into your device see a certain minimum depth that you have to maintain there's other issues there sea space conflicts if it's a fishing ground doesn't matter how deep you are those nets are going to drag down on their There's protected areas that you can't. So having these tools and put them into just Web site is the developers that's what they're asking for and so what we're providing for them and then our last objective here is that actually the web page itself in the American model this is been an incredibly ambitious numerical modeling project. We have basically divided the entire coast and United States up into multiple domains we can't just run them. But we can try to run the model for the entire coast at one time. It's not very practical. So we do is we're just breaking it up so you can say we've done the whole Gulf Coast coming down to Florida. We've done the whole East Coast. And so each one of these squares represent a different domain. They are fit in there so that we have overlap but so that we're resolving individual estuaries with then we don't cut a single asteroid off on a border. So everything. It's self-contained so in some spots where we go for a large area and said hey this area needs a little more detail. This is actually St John's River in Jacksonville. It's pretty significant currents in there so we put a second grid in there to resolve that area a little bit better than we have the West Coast which we've completed so we started down St Diego we've done the whole coast here. Then up here this is actually Puget Sound This is one the hot spots is one the best places in the United States one the top place in the world actually fertile occurrence with a number of different domains we have here we can spend approximately two weeks per grid and there's a lot of overlap between the grids. For A ESTAR as complex and dynamic as Puget Sound. We can't do that in a two three week period so what we've done is there's another group at University of Washington who've been simulating this for about the past five years. They're actually using the exact same model said they're doing everything exactly the same that we're doing so what we've done is obtain their model results and we're putting it through our quality control but they simulate this whole box and they have that whole area in their domain. They're also doing Alaska Alaska is another hot spot for energy into a Christian here there are some very significant currents are occurring in there and they believe or not they have they do have energy issues they want to be able to provide energy with these alternative sources and they were even do that. Lucian islands. There's just a hole here that we're currently and grids being set up right now to finish that spot. So we're running America model there are some basic information needed. Order one most important but they mature we need to know the water depths everywhere without the thin material we can't run anything. So we have a variety of sources support but that materie wetlands for the southeast and some of the north western areas we have a lot of wedding and drawing you have these type of mud flats you have marshes where you have to account for that when you have the water coming in for high tide. If you don't account for the water going on to the areas that are dried during low tide. You don't get the volume right. You don't get enough volume coming in. And you can't get the currents right. So it turned out to be very important for us to include the wedding and drawing in the model into account for the wetlands so we use that we can get to park a fifth of the wetlands from U.S.G.S. and we feed that into the model as well. Constituents there's two different databases that we use we first started it were to Susan what's called the ad search data base where this was is that used a numerical model to simulate the entire North Atlantic Ocean and then compare the constituents on a fairly course grid running up close to the coastline. So our procedure then is to take their constituents which come up to pretty much towards the shoreline. But then we use our model to basically to think about propagating those type of constituents into the areas in the end limits and islands in the islands and into the creeks and rivers and so on. What turns on the West Coast. There's a second database that the babble it turns out to be a lot more accurate does a better job on the West Coast for us. So we've switched to what's called the T P X O. Database this is been put together by Oregon State University. So procedure as we run thirty two days with throughout the first two days of the simulation that's the model spokes we start with no currents not still water everywhere. Turn on the forcing them all ramps up over the first two days. So for all that what we're left with is thirty days sniffin So that number is it covers a full lunar month. The following month only twenty nine days. So we have at least that fall under a month in order to resolve the constituents of fish and so we run the model for the thirty two days then we do a calibration procedure we compare our results from that thirty two day simulation to whatever measurements we can obtain and then we use to shore up its a look too small so let's see if we can decrease our roughness we can do a little about the metric filter in a number different knobs you can kind of twist on the model. And so we do a couple short day runs just right back and forth to we're happy with the results then we redo that thirty two day simulation. Once we do that then we're able. Compute the harmonic constituents and full time on the constituents. Gives us our results to go into the database. Model verification how do we know the mall is doing a good job. Well one thing we can do is compared to those know it. Predictions. We have to care for that it's like I said the quality of those can be quite poor those predictions so we don't want to put a whole lot of credence into them. But fortunately for a lot of locations. That's the best we can do. There is not data available. So a couple of statistics we can look at we can look at things like the mean current magnitude ratio Maxim occurrence. That says a lot but what that means is what the no predictions provide is the time and the magnitude of the peak current So says you peak flood current is going to be at two fifty five and it's going to have a current of one point two meters per second. That's all the information that provides what we do as we look at our model results we figure out what time does our current happen and what is its peak magnitude and then we can pick that out for every peak during the thirty two day or whatever time period we're looking at. And calculate the mean of that and what we come up with in this case. Nine point nine zero or five once that's ninety four percent of the peak predicts occurrence will our models come out so that shows that one is doing a pretty good job that we can look at things like R.M.S. differences so that gives us more into the magnitude so we're for example eight Simmias per second difference which again is a pretty good result. Then come down here we're looking at base differences this is the timing of the ties when duels peak currents happen. So here we're coming off of only thirteen point eight minutes difference so we're predicting the peak current happens so it's a thirteen point eight minutes earlier. It can. That's a pretty small time you're talking about the tides occurring over twenty four hour period then thirteen minutes is a pretty reasonable result. Nothing we can do is compare constituents directly that's what we're putting in our database so actually it's a good idea to compare what's in our database so if there's placement measurements of sufficient length that calculate those constituents. We can compare them dry. So that's what's here the light is the model the red is from the measurements into this our Dhamma constituent This is from a place Kingsbury Georgia. You can see most energy is in that one constituent from the moon where the solar one is about a quarter of the size but overall you can see we're doing a very nice job. Comparing. And then we have the phase difference in terms of minutes. So the ones that have the larger differences the overall amp it's a pretty small. So we're not as concerned about the phase difference for those are into phase differences on the order of just a few minutes. So we're doing a good job on the major constituents. Some of the data we can obtain it's too short to do and it could such an calculations For example here's one that just hits a tide cycles. You can't calculate that from that's what we can do is we ran our model we got our constituents once you have constituents. You can calculate time series from that any time you want. So we then calculate our time our model results for the same time period and just do a direct comparison between the model. Currents and the measured currents. But if you do have current conditions that are large enough or long enough to calculate those constituents. Then we can do here is into a comparison for the current so the same thing as with the water levels. Right. So now I want to get it actually let me show you real quick. One thing we're doing with this is putting in a website. And so just to show you our results I was going to pull out. This is a nice little website and actually I'm back here went into. I'm at the J.S. center development website itself but we can do is look at in the database any user can log in here. See if it's wakes up and look at and download our raw results our constituent database is fully accessible. So for example here we have the power density so this is the interest the Long Island Sound. This is another potential hotspot for type. Energy you can see we get large currents here in the entrance. So you can zoom in and see the hot spot there then you've got a variety of hot spots along here. Then we can identify you can say OK I'm interested in what the actual values are so this tells us that we had a water depth there twenty six meters main currents one point two seven meters per second. So pretty small at that point. So let me move it a little bit. Zoom in on the hot spot. Pick a point here. And now we're talking much larger main current of one point one nine meters per second. Max current all at the two point two six minutes per second. This is now getting into the regime where you get viable energy generation another cool feature so you can actually get the data directly and part of that is you can filter so you can say hey I want to get at least fifteen meters depth. I don't have fifteen meters. I can't put my device in there so I'm going to eliminate every under fifty meters but I want to mean current of at least one meter percent. If I don't have at least that mean current I'm not going to generate enough power. So let me filter in find all the points that qualify so everything and if you hear all those green points. Satisfies that criteria. Then you can download it and get this in a spreadsheet and then you'll have our entire database all its constituent so you'll get all the data you need to for your assessment of where you want to put your toilet turbines. So that sort of our general assessment project. We also have done some site specific assessments. The data we're providing it's not sufficient to do the testing and know where exactly you know you're going to put your turbine but UNION know the flow characteristics to a whole lot more detail. So it done some work for the Marine Corps. They have their training facility on Parris Island So this is personnel and where all the recruits on the East Coast. That's where they come in to their basic training. They're ideally located in here. Right along here you've got the Buford river. It's got a lot of tidal flow coming in here see a very strong currents and it turns out they have energy plan the diesel power energy plant right on the bank there. They have some cooling water intakes they have a transformer station right on the bank fifty feet from the water they say they've got all the infrastructure necessary right there to tie into. So our methodology for helping them with their Susman first step is to go out with a boat and put a instrument on the boat and measure the current So we just roll around and try to figure out get an idea of the spatial variability of the currents once right then a five where the current seen the largest we go out we deploy an instrument in the water for at least that lunar month in order to get a better measure and a kind of way to constituents for it then what we did is we took our model system. We used our measurements calibrated the model. Then we used the model and put in some additional terms account for energy extraction and I did. There is what we want to see what the impact of extracting energy from the tides is on the top floor itself. We know we don't want to go in there and completely change the top of flow because then you're going to have those significant environmental impacts. So here's our method for doing the boat measure we have a nice little pontoon boat. Which we're able to mount a bomb in or so in this hole in the middle where we measure depths and then we have this mount where this what's called an A.D.C. piece an acoustic Doppler current profile or it sends down for accused the beans and different angles and it measures the currents for. You and occurrence as a function of depth so that goes over the bow of the boat and so the idea is we're going to drive back and forth across the channel during the flood tide and do the same thing again at the ebb tide to get the spatial structure of the currents. So here's the bath metric results you can see kind of a path line now this is over both title cycles but you can see we set up kind of a grid but we went back and forth and because this is where the Marine Corps has their infrastructure. We're more focused on here. So we did a whole bunch of lines zig zagging back in there to get them a tree. So the cooler colors of blue colors are deeper water so there's a couple of really nice features tardiness here. The deeper water is right on the bank close to where the infrastructure is that's good. The other side gets really shallow so that this area on the opposite side is not going to be a very viable. There's also there's two channels you get the deeper channel which is here we've got a second channel here. This channel is actually the Intercoastal Waterway. We can't do anything in there is no way we can put any sort of devices in there but this channels outside of that. So this is open area this is viable for putting in some sort of devices. So that in the boat based current results this is shown on the measurements during the flood tide and this is the measurements for. At tide the broader called the red color. I mean stronger currents so you can see along this area. We had a pretty strong hotspot same thing. It's the same area. So the peak currents were occurring in that area and I corresponded today of the depth about six metres so it's a moderate depth but for some smaller scale devices that would be sufficient. As you get further away announce that shallow where you can see it's really true here. Currents really drop off so the largest currents are very fortunately located on this side of the bank on the side of the Marine Corps facility. So then what we did is we have the A.C.P. measure So this is where we deployed the instrument in the water and kept it there for a. Months so it was deployed on the twelfth of November and we pulled it out on about the fifteenth or sixteenth of December and what we have here is we extract all these different constituents. Once we took the Duck time series we downloaded their constituents. We calculate the constituents and then recalculate the time series with just those constituents difference between what we actually measured and then what's with those constituents that stuff we're not accounting for that's pressure water flow that could be wind driven floods other processes that we're not catching what a good thing is we actually account for ninety nine percent of variance with just those constituents that means we're totally dominated and there's just about everything is in those ties that we extracted. There's only about one percent of other flow. So that's a good helpful result that allows it to be much more predictable and then this so that's water level this is current same thing here you can see we're picking up the peak current So we're picking it a little over a meter perception is our largest currents very clear you get your spring tide. You need to fall by another spring time. The green line here is the residual but it's the part we're not picking up. So probably not picking up is about ten fifteen centimeters per second only so we're capturing the dominant mode of them flow here. Right. So look at some of the numbers here. These are the different Instead she wants their frequencies and then here is the water level amplitude so this MTU absolutely dominates point eight six meters is the amplitude of the water level variation. That's THEY HAVE TO THE ACTUAL of variation you would double that. And everything else the smaller ten to fifteen centimeters. Then the phase which I mean that's from not really important but now here's the main current amp to this of the amp to the current as it's also in back and forth. So the MTU again dominates at eighty seven centimeters per second and again. No that's just amp who's going plus and minus. And here the other ones are smaller but you can't neglect them because they add up. So there are many times all these comments. Side you add all those numbers up. That's where you get those peak currents of one one and a half meters per second. So it could do some histograms but it shows you how many hours per year. The current is in a certain man to so or so of our peak current here is occurring but eighty centimeters per second is our most frequent current so you can also think that everything down here that's way below your typical cut in speeds. So this shows the power density histogram so it takes these numbers calculates what is the power associated with that. So everything that falls down here kind of falls into this first bend you don't have power on those lower of last days but you do have power and all weapon you get is peak ones where you can get an up close to a thousand watts per meter squared. So this is just the surface current same thing for the depth average so we could take the current sets measured close to the surface. That's really going to largest or you can calculate it sort of take the average current of the entire depth. But the overall different there's not much. So it was kind of just slightly about ten percent larger than the depth average current. So our arms modeling so we want to now model in get more detail because this is just measurements at a single point for a month we want to get a little bit more information. So this is the grid that we used we zoomed in and this is the river coming in. That's parasol in there. So our field site is right there. So what we do is we have a two hundred meter grid resolution that's the distance between different nodes in the grid and that's just some basic information three D. models we are resolving the vertical variation is in eight different layers. And it's in a little bit closer here so this is the actual grid in that the city so that's where the P. was you can see it's right on the edge of our grid and we have about eight points going across that entire channel. So here's how well the model works. This is the water level where. Blue is from the eighty's the measurement red is what the models actually predicting and we're doing a reasonable job a little offset especially the first part and then the second part of the month. It does a much better job. But one of the things that we like to capture figure out how much of the variance that's most poor how much of the variance do we actually capture in the signal and turns out we're still capturing with the Model ninety eight percent of variance. So we're doing a fairly nice job same thing. The currency to see we're picking up the speed currents getting pretty close dropping down with the need to. Pick him back up. So overall the model does a fairly good job reproducing the flows here. And some statistics some basic statistics here. This is that similar table before so we're getting ninety five percent of the peak current magnitude and with the face the frontier of only again about thirteen point eight minutes so we're doing a very nice job of simulating this location. Right. So one things we want to do that is modeled the impact of the devices on the flow fields we want to extract energy from the flow field and see what the impact is on the surrounding area what are the large scale impacts so that we're not looking the detail flow in the media saying the device. We have a two hundred meter grid these devices on the scale of several meters. We can't resolve that level of flow detail that takes a much higher much more advanced than we're doing. But we can figure out the large scale tidal effects what is going to happen to the stranding marshes what's going to happen is the prism going to change. So what we do that is we just implement a fairly simple retarding force OK but these devices are going to do their act like a force that is exerting actual meant them onto the float that's kind of actually just a patient and in particular grid cells we put these in a couple of different grid cells. So in those group cells we have multiple devices that are inserting this force. So what we end up with then is a additional stress term that just shows up in here and we're going to come. For dissipation So we're not doesn't a thing. Some of that dissipate would go into electricity. Some of it's just turbines that's been generating we're not resolving the difference between now all we're doing is saying we're losing a certain amount of momentum from the flow field. So we did is we put these devices on the side of the channel we're trying to simulate a realistic situation for the Marine Corps if they put a couple devices on the channel close to their facility a star extracting energy. What's going to happen the flow field. What we have here this is a map showing a change in main currents. So we see is in the vicinity of the device we have this extra friction. We have a reduction in currents which makes sense where extracting energy from there you're putting is added roughness those currents actually decrease slightly. What's interesting is on the other side the channel currents increase. Well the reason is the overall flow is going to stay very similar. It's not going to change months but you put extra friction on one spot will flow is going to tend to go around that and so you can increase your flown opposite side a little bit and that's what is observed to occur here is you get a slight increase in currents here fairly substantial decrease occurrence where our devices dissipating energy. And then we look at time series to see how the how do the currents then change. And so it's looking at a point upstream and downstream of this location and we see the currents they are decreased a little bit. We are extract energy so the currents are going down but not a very substantial about a five percent reduction in the overall current strength. That we can look at water level so here we're looking at the water level variations This is of great interest. If you have a sensitive salt marsh. It relies on it becoming wet and dry during the different parts of the tidal cycle you change that you're going to wipe out your plants you know wipe out your animals we have to make sure we don't have a large fluctuations on the water level. So we're showing here is variations in the water level the scale here is of millimeters we have variations on the order of one to two millimeters of the impact. On the water level we can even measure that if we want to go out and measure that's beyond the accuracy of what we could measure in the field so that is an absolute minimal impact right now. So all we're doing here. This was a simple case is what were extracting ten percent of the vailable kinetic energy. It's a fairly small amount the significance of that particular number though is a couple years ago Epperly put out a report and they just kind of made up a number they said we think you can safely extract fifteen percent of the kinetic energy. Beyond that it gets to be too risky. Well here we're extracting almost that limit. And there is no impact whatsoever. And here's some more effect so here we're looking at the change of the main power so of course main power drops there goes up there because velocity decrease velocity increased and here we're shown the time series of the power of the flow feel at that location so red was the rod no extraction case that's what the power was prior to any extraction Black is the actual dissipated. That's how much power. Despite only displaying ten percent so very low dissipation there and blue is the residual That's what's left over after we extract our flow field. So not much change with very little reduction of the overall flow feel. Let's crank things up. Let's extract sixty percent so way above that limit that every put out. If you notice the differences between these time series not much different from that ten percent case. Things haven't changed works tracting six times the amount of power dissipating six times the amount of power. We were before. Yet there's minimal impact change on the wall of yes a little more water level impact levels drop here on the order of four millimeters that's still beyond our detection limit so absolute minimal impact. We look at the power gain the main power distribution it looks very similar reduction one side growth the other side. Now here's where some interesting comes out. No extraction case again is red a power dissipated We're now at sixty percent of that. So we're tracking a lot of power. The overall powers in blue something jumps out the page right here you think OK you have your raw power. If you extract the power and have a residual power. We'll show you extract it in residual add up and you call your raw power. Turns out. No it doesn't work substantially over that the black. Plus the blue is way above the red. The reason is the kinetic power is not all that's there. There's a lot more power than that there's a lot more power than just kinetic energy you have the potential energy of the flow field. So with tides you have the pressure due to the water level there's a slope in the water level this pressure force is actually transmitting a lot more power than the kinetic power transport what's going on is the flows ever recover you're able to extract this kinetic energy. There's a lot of flow recovery that goes on. So using kinetic power as your estimate of the resource is a very bad idea it underestimates your resources by order of magnitude or more. So how do we do this final resource assessment how do we come up with and this is back on to what part of Energy wants us to do they want to know how many gigawatts a power is available United States from the tides. That's what they are one US The provide a final estimate for them. So there's a couple of assumptions were made and this is something we're still discussing with different experts first assumption for general turf for you put in a single turbine the water. It's limit is what is the kinetic energy at that point for that single turbine. So there's a limit you can only extract up to fifty seven percent of that kinetic energy for one particular turbine but the total available power for the full estuary. It's not a function of that kinetic energy flux. It's going to include because there's what's called a kill it affects you. Struct energy at one point you're going to affect what goes on downstream of that you're changing the dynamics by doing that. Well the total power in extra a lie. I said it's not just the can connect energy flux also includes that work done by pressure that turns out for pretty much every asteroid that worked on by the pressure forces at least more magnitude larger So there is a tremendous amount of power available. So to come up with our final assessment. It's going to be some fraction of this total power but cannot energy flux will still come into play but we also have to look at the. The portion of done by the work from the pressure that has to be including the calculation it's going to be a some fraction of that total power but there is going to limit if you don't have the kinetic energy in your estuary. You can extract power if you don't hit those mean currents you those currents aren't large enough to not extract anything. So there is no Me upper bound that's could be put in place from the kinetic energy distribution but there's that the majority calculation has to account for the transmission of the power by the pressure. So some of the ways we can estimate we're following a method by incomings what they do is they calculate the power and this is accounting for if you take a turbine you put in the water you extract certain amount of power but a second turbine and you extract more power but you're changing the flow fields are trying to account for that changes as you put more turbines extract more more power into you get a point at some point. You're going to affect the flow field so much you're going to start reducing the overall power so there's an optimal amount and that's what this get incomings met that does in a very simplistic Methot but it does a pretty good estimate of what the available the for the maximum power is and it's a function that has this premier gamma which is on the order of one point two two but shown it can range point one nine point two seven it's the exact value is. The pen's on the what set of assumptions you make but it gives us a good estimate but then it's a function of the total water level amplitude So these are simple things we know that total water empty that's somewhere tackling in our model and then the maximum total for. So you take those two things more plumb together and it gives you than this estimate of how much power is available. Well and the other limit is how much kinetic power is actually a valuable estuary. We can't just sum that up. What we have to do is realize that's the power density the kinetic part of density which is the one half row the cube here. That gives us the power per vertical section area. So when more plant pot of swept there you have a device with a certain area. So that's the swept area but that now converts it to a power. But then within each of our grid points. We only have a certain number of devices you can put in so we take the surface area of our cell. So that's our two hundred meter by two hundred meter surface area then we multiply it by the number of devices per surface area so we put in some realistic numbers. This will give us an idea of well how much power we could extract. We also throw in there is sufficiency. This accounts for that cut in speed this accounts for the maximum rated speed as well as how much power we can actually extract the you know the rated efficiency of the devices. So some examples. The first example is Chesapeake Bay these in the let's call this P. Max method this is that their income. It's estimate it tells us there should be one hundred fifty one megawatts of power available. So it's a moderate number not terribly big. But the problem is this is actually a map that we filter so we put in these different threshold hit that at least five meters depth which is pretty shallow. Minimum current minimum current at least a half meter percent. Chesapeake Bay currents are tiny. This is showing the power with those filters applied. It's a little tiny blue spot down here that's the only area that meets those criteria the rest of the Bay does not meet those criteria so that means even though we estimate there's one hundred fifty one megawatts possible with these of values in here. There's only twenty four megawatts which could be possible right down here in the tip. And these numbers are really at the threshold for feasibility for us. So in general going to pose a new type of energy in Chesapeake Bay Don't vest money in that there's just there's no power there. It's just not going to feasible location. Right now we go down the St John's River this is a fairly small river but it's got a pretty large tide range is that River into Jacksonville R.P.M.'s about that says fifteen megawatts so it says there's no whole lot of power but that's a realistic number in this case because when we put in our numbers here currents are fairly large and so you can see along the whole stretch of the river here and there are some key hotspots where you can get pretty large currents where there are some places in the river where you get the converging currents. So this one. There is enough matter of fact our little P.K. method here says there should be twenty three megawatts so this just tells us there's a lot of uncertainty between these two methods but it gives us an order of magnitude. There's perhaps twenty megawatts of power available from this small asteroid. This puts it on par with the entire Chesapeake Bay test base with a large astroids in the world. This is a tiny river. Yet there is probably more power realistically available for this location. Let's get a little bit. Let's go. St Cisco bay. And sent Cisco but we have a lot more flow coming in and it's it is one large estrange in the world. It has three hundred sixty nine megawatts available. That's coming from the flow coming the Golden Gate Golden Gate is going to be a potential location it's got some great characteristics it's really deep you can put stuffed animal water surface doesn't matter if a full size freight ship comes through. They're going to be below it's draft. So there is some feasible locations there but the currents are so large coming through the Golden Gate in the bottom of the Golden Gate. There's actually large sand waste there's sand waves with a wavelength and they are about one hundred two hundred meters wave height about six meters these things are moving in the flow. So you. Some bought a mountain and it's going to get buried. So you're going to have to put something that's more up above that bottom. But there is quite a bit of interest as you come through the Golden Gate there are large currents and R.P. came out that says yeah there should be at least two hundred thirty megawatts. And these are low conserved numbers for that you can use much larger devices because you have enough depth there in the Golden Gate So that number could be potentially larger. Right. Here's the biggest the biggest hot spot and the United States Puget Sound is actually devices that are going to go in the water here for some test grounds primary hotspots one is the Admiralty in the inlet coming down to the U.S. side of Puget Sound. There are some very substantial currents that are occurring in here. And then a really large hotspot this is what's called Tacoma Narrows there's just this pinching of the flow through there currents really get cranked up in here. It currently lower a four five six meters per second which is absolutely enormous flow velocities. So here are people Max met that says there's almost twelve hundred megawatts so now we're finally into or gigawatts and this is where some utilities out here in the West Coast that starts getting their interest because that's all the power plants right there of able power so that's now commercially viable and our P.K. method again these numbers are very concerned for you can put a lot more devices a lot bigger devices in here because you're talking forty fifty meter depths to Admiralty inlet so it's deep and it's fast flowing through there. So the overall magnitude therefore Piquet method also shows. Eleven hundred megawatts so a very realistic result. To summarize some advances why should we be interested in ocean energy. First of all it's completely renewable extract whatever you want. Today it's coming back there tomorrow. So it's fully renewable we're never going to deplete it. It's also extremely predictable we can predict the tides two hundred years from now. Once you have your constituents. You know what the Assuming that the sun in the moon. Don't change. We're going to be able to have fairly accurate predictions environmental impacts they tend to be less they are soon to be last. We're still trying to prove that what are the issues Well first of all large capital investment building to these devices put them in the water that's going to take a fairly large amount of money. It's also in mature technology at this point in time we're still in the design phase. There is no commercial application out there yet. Also these devices they can be reliable because this is a very difficult environment to work on you mix salt in with devices. You've got major issues there you have an environment with very large currents you have very small windows opportunities where you can get in there actually service the device. So some final remarks. This is it's a distributed power source. It's not like we're going to be able to put I mean there's maybe some spots in Puget Sound you could put something in there and be a commercial application but for the most part. You can put in a number of devices different locations and provide some power for a small community perhaps you're not going to end up with these hundreds of megawatt power plants from most parts of the country. It's not continuous The tide is not continuous You have your flood tide. Then you have your slack time where you get no power. So it's predictable but not continuous It's also a new technology we don't know for sure what the impacts are the thought is for the most part they're fairly benign but we don't know the impacts on fish will impact on mammals migrating birds these are all issues when I was first like well how does an underwater device affect a bird. A lot of birds go for fish they dive down the water. What happens if they don't water and hit a device that could be a negative impact. They're also very highly sensitive to the detail the flow. Field. We were providing If not mean currents. But the very specific you get these eddies being formed when the first advice is that when the water up in long are in the East River up near New York. They put their device in the water with a. Days the plates start breaking you know what happened. The main currents were any larger than they thought but the problem is they have these large scale eddies that are coming and that means on one part of the blade the flows going one way has one strength the other part of blade has a much different velocity you get a lot of shear in the plate that they were not accounting for that level of detail they had not been able to measure before so that means when you're going to decide assessment you have to get out there and do extraordinary detailed measurement to figure out these turbulent characteristics. We also need a lot of Mahler's a lot of research that needs to go into understanding the processes that are present there. So that's the final thing is just the variety of sources that has funded out work here over the past four to five years on ocean energy. Thank you. Right. That is definitely an issue if you do bottom ounce and you're to have smaller current stand there absolutely on the boundary layer it can be on the order of meters but it depends on you know could be ten percent twenty percent of your overall depth to get where there is significant reduction in the currents so ideally you want to get up towards the middle of the water column but see space conflicts is the biggest issue in that regards. You've got to be far enough below that any of the expected boats. You've got to be a main shipping channels unless you have something as deep as St Cisco for let's say Savannah. We know we can't go in our shipping channel and we're spending ten year battle over trying to deepen the channel by six feet of snow where they're going to give up any space for any device in their. Right right. Yeah I think we'll know in the next year or two little bit more because due to what do we has done was for the about three years ago there was zero money in the part of energy for any of the water related energy resources then they started putting in some money into the hydro power and what they're interested in doing is these resource assessments and they want to know what is the number of what is the potential resource how many gigawatts is available so they funded are working on the title streams. They've also find we have second project now look at those offshore ocean currents. There's a project running in parallel. That's looking at waves and figure out of the wave energy is going to be looking at rivers. Rivers the same thing as a tunnel current the fresh water flows they're looking at assessing that they're also sensing the thermal So what they're trying to do is put together what the final number of what is the babble resource. If those numbers are too low. You're right they're just they're not going to put the money into They're not going to invest millions of dollars if the return is not to be viable. So they're invested in the financial part right now isn't just resource assessment. They're also investing meth money into and permitting is she said we don't know how to permit these things yet because the agencies that the regulatory agencies they never had to deal with this before they're trying to use some. From the mess which apparently is not very good experience right now. And in a mess. They tend to go their doors jurisdiction is three miles and further offshore So for example the total stuff is all in shore so I'm a mess has nothing to do with us. But a lot of what's been what they're using is the methodology that was outlined by offshore petroleum industry. They have much deeper pockets they have much larger financial abilities they can fund multimillion dollar studies for these alternative energies you have people who their budgets are hundred thousand dollars that's all they can afford and they're being asked to do these multimillion studies they can't do it. So that's why do we spend trying to help fund some of the sea projects to help start getting a handle on all of these environments and packs. This company that has deployed in the East River. They spent a factor of ten. Of their budgets gone towards environmental studies primarily fish study they have monitored more fish in the East River that anybody's ever monitored before. And this is the first thing people know they tell them that they said there's fish in the East River and they simply then they're all dead. But it turns out there's actually a lot of fish very abundant in the East River and the results so far they've shown absolutely no impact on the fish with their devices this is. Yeah absolutely. It's a very dynamic area the ocean is constantly Bollman and so are the general But then which is probably fairly reasonable if you're trying to get into the details a particular site you want to rely on our model of results there because Filipinos change so for example this person Island site we're going back there. We're doing our own back budget survey and we're going to remodel that area and you have the current but them for you because you've got the detail specially made into law. Total areas for the currents very strong and constant scour things are changing very rapidly. So that's very important is to try to get updated but them a tree when you try to do your specific site assessment on a large scale resource estimate. Yeah it may change things by ten fifteen percent. Let's say for those overall currents. But for the focus this pick a project that's a reasonable there that's an interesting question that people generally don't know exactly is a lot of work going in that area and a lot of thought is actually an overall increase in the currents because as the tide level goes up. You're going to get more in the day. Sure to get more flooding of various That means a larger volume of water is coming in. Course property owners aren't so happy about that either either because they're having high risk of flooding but that's something that on the fifty hundred year time scale it's unknown question right now is exactly how much of an impact that's going to have I think in terms of tidal energy that's not going to increase the our overall potential substantially so you know we're not really accounting for that right now but if there is plenty of implications for other issues sort of the other hat where coast engineering we're going to be to Raj. That's a huge issue you increase the water level by ten centimeters. You can totally change the dynamics of a beach. Thank you.