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calculateTransport.m
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calculateTransport.m
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function [glob] = calculateTransport(glob, iteration)
topog = zeros(glob.ySize, glob.xSize);
flowThick = 0;
prodFacies = uint8(0);
oneTransThickMap = num2cell(zeros(glob.ySize, glob.xSize)); % Map of thickness of deposited transported sediment for current iteration
oneTransFaciesMap = num2cell(uint16(zeros(glob.ySize, glob.xSize))); % Map of facies deposited by transport for current iteration
transFacies = uint16(0);
flowCount = uint16(0);
flowRoute = zeros(glob.ySize, glob.xSize);
destCells = uint16(0);
noRoute = uint16(0);
foundDeeperCell = false;
dummy1 = uint16(0);
dummy2 = uint16(0);
topog = glob.strata(:,:,iteration);
% Calculate transport from each point on the grid
yArray=1:glob.ySize;
xArray=1:glob.xSize;
yArrayRand = yArray(randperm(length(yArray)));
xArrayRand = xArray(randperm(length(xArray)));
for i=1:glob.ySize
for j=1:glob.xSize
y=yArrayRand(i);
x=xArrayRand(j);
flowThick = glob.initialTransportThickMap(y,x); % Trans thick map contains the transportable
%thicknesses calculated in the production routines, derived from the glob.erosionPerc value
prodFacies = glob.facies{y,x,iteration}(1); % Get the in-situ produced facies for this cell
% Check if there is a deeper cell adjacent to source cell before triggering a
% flow. This is necessary because triggering a flow causes sediment to be
% removed from the source cell - don't want this to happen if flow is not
% going to happen
[foundDeeperCell, deepestX, deepestY] = findDeepestNeighbourCell(glob,topog,x,y);
flowGradient = topog(y,x) - topog(deepestY, deepestX);
% Only call the flow calculator if...
% pTransportOverride < glob.transportContinueProbability OR all the following are true:
% Source cell contrains primary producer facies 1,2, or 3 that are below sea-level
% There is a deeper adjacent cell
% gradient to adjacent deeper cell and flow thickness both exceed set thresholds
if (foundDeeperCell == true ...
&& prodFacies <= glob.maxProdFacies && prodFacies > 0 && glob.wd(y,x,iteration) >= 0 ...
&& flowGradient > glob.transportGradient(prodFacies) && flowThick > 0.001)
transFacies = glob.transportProductFacies(prodFacies); % Get the transport facies produced from the in-situ facies
% Remove the transportable thickness from the relevant array records
glob.strata(y,x,iteration) = glob.strata(y,x,iteration) - flowThick;
glob.thickness{y,x,iteration}(1) = glob.thickness{y,x,iteration}(1) - flowThick;
[topog, glob] = calcOneTransportEvent(glob, iteration, topog, y, x, flowThick, prodFacies, transFacies, noRoute);
flowCount = flowCount + 1;
end
end
end
totalTransported = 0.0;
for y=1:glob.ySize
for x=1:glob.xSize
checkProcess=strcmp(glob.siliciclasticsRoutine,'on');
if checkProcess==1
%calculate the amount of siliciclastic
kl=find(glob.facies{y,x,iteration}(:)==8);
if isempty(kl)
clast = 0;
else
clast = sum(glob.thickness{y,x,iteration}(kl));
end
else
clast =0;
end
% Increase deposited thickness by amount of deposition in all the transported facies at y,x
% deposited thickness is the amount of deposited without the siliciclastic
if glob.facies{y,x,iteration}(1) <= glob.maxProdFacies
oneThickness=sum(glob.thickness{y,x,iteration}(:))-sum(glob.thickness{y,x,iteration}(1))-clast;
else
oneThickness=sum(glob.thickness{y,x,iteration}(:))-clast;
end
% Increase deposited thickness by amount of deposition in all the transported facies at y,x
glob.strata(y,x,iteration) = glob.strata(y,x,iteration) + oneThickness;
totalTransported = totalTransported + oneThickness;
% Decrease WD by amount of deposition
glob.wd(y,x,iteration) = glob.wd(y,x,iteration) - oneThickness;
if oneThickness>0; destCells=destCells+1; end
end
end
% Record transported sediment as thickness in the strata array and as facies in the
% faciesTrans array
%glob.faciesTrans(:,:,iteration) = oneTransFaciesMap;
%glob.faciesTransThick(:,:,iteration) = oneTransThickMap;
fprintf('Trans %3.2f in %d flows to %d cells. Failed %d', totalTransported, flowCount, destCells, noRoute);
end
function [topog, glob] = calcOneTransportEvent(glob, iteration, topog, startY, startX, flowThick, prodFacies, transFacies, noRoute)
% Calculates the transport from cell startX startY and records the deposited thickness in oneTransThickMap
% Initialize variables
flowDone = false;
flowRoute = zeros(glob.ySize, glob.xSize);
flowLength = uint16(0); % length of flow in number of grid cells
numFaciesInCell = uint8(0);
flowRoute(startY, startX) = flowLength;
flowGradient = 0;
y = startY;
x = startX;
while flowDone == false
[foundDeeperCell, deepestX, deepestY] = findDeepestNeighbourCell(glob,topog, x, y);
flowGradient = (topog(y,x) - topog(deepestY, deepestX)) / glob.dx; % dx is in m too, so gradient is dimensionaless ratio
% pTransportOverride is a random number which if less than glob.transportContinueProbability for each facies
% forces transport to continue, even if there is no deeper neighbour cell
pTransportOverride = rand(1);
% Lower cells found adjacent to the current flow cell, and gradient > minimum threshold, so deposit and prepare to carry on flow
% TRANSPORT to deeper cell and beyond, with possibility of some deposition also
if foundDeeperCell == true || pTransportOverride < glob.transContinueProb(prodFacies)
if flowGradient > glob.transportGradient(prodFacies) || pTransportOverride < glob.transContinueProb(prodFacies) % So still above deposition threshold
flowLength = flowLength + 1;
flowRoute(deepestY, deepestX) = flowLength;
x = deepestX; % update flow coorindates to this adjacent deeper cell
y = deepestY;
flowDone = false; % Continue flow, because there may be yet deeper cells adjacent to this one...
else
% Calculate the thickness to deposit based on a proportional decay of
% thickness and a minimum cutoff
if flowThick < 0.01 % gradient too small and flow too thin
depositHere = flowThick;
flowThick = 0;
flowDone = true;
else %gradient too small and thick flow
depositHere = flowThick * 0.5;
flowThick = flowThick - depositHere;
end
glob.numberOfLayers(y,x,iteration)=glob.numberOfLayers(y,x,iteration)+1;
glob.facies{y, x,iteration}(glob.numberOfLayers(y,x,iteration)) = transFacies;
glob.thickness{y, x,iteration}(glob.numberOfLayers(y,x,iteration)) = depositHere; % Nb this could lead to deposition to above sealevel
topog(y, x) = topog(y, x) + depositHere;
end
% DEPOSIT
% Else no lower cell found, so deposit all flow at the last deepest cell x y unless it is the start cell
else if not(x == startX && y == startY)
availableSpace = glob.SL(iteration)-topog(y,x);
if flowThick <= availableSpace
glob.numberOfLayers(y,x,iteration)=glob.numberOfLayers(y,x,iteration)+1;
glob.facies{y, x,iteration}(glob.numberOfLayers(y,x,iteration)) = transFacies;
glob.thickness{y, x,iteration}(glob.numberOfLayers(y,x,iteration)) = flowThick;
topog(y, x) = topog(y, x) + flowThick; % NB this means flows will interact with deposits of previous flow
flowDone = true; % End the flow because no deeper cell found or below gradient threshold so deposit in this low
else
%NB add this on 26/5 to avoid building over sea level - estani & george
depositHere = availableSpace;
flowThick = flowThick - depositHere;
glob.numberOfLayers(y,x,iteration)=glob.numberOfLayers(y,x,iteration)+1;
glob.facies{y, x,iteration}(glob.numberOfLayers(y,x,iteration)) = transFacies;
glob.thickness{y, x,iteration}(glob.numberOfLayers(y,x,iteration)) = depositHere;
topog(y, x) = topog(y, x) + depositHere;
xInc = [0 -1 1 -1 1 -1 1 0 ];
yInc = [-1 1 -1 -1 0 0 1 1 ];
a=1;
checkSurr=0;
while flowThick>0
ny=y+yInc(a) ;
if ny<1 ; ny=1; end
if ny>glob.ySize; ny=glob.ySize; end
nx=x+xInc(a);
if nx<1 ; nx=1; end
if nx>glob.xSize; nx=glob.xSize; end
availableSpace=glob.SL(iteration)-topog(ny,nx);
if availableSpace>flowThick
depositHere=flowThick;
else
depositHere=availableSpace;
end
flowThick=flowThick-depositHere;
if depositHere > 0
glob.numberOfLayers(ny,nx,iteration)=glob.numberOfLayers(ny,nx,iteration)+1;
glob.facies{ny,nx,iteration}(glob.numberOfLayers(ny,nx,iteration)) = transFacies;
glob.thickness{ny,nx,iteration}(glob.numberOfLayers(ny,nx,iteration)) = depositHere;
topog(ny,nx) = topog(ny,nx) + depositHere;
end
if availableSpace<=0
checkSurr=1;
end
a=a+1;
if a>8
if checkSurr==1
flowThick = 0;
else
y=y+1;
a=1;
if y==glob.ySize
flowThick=0;
end
end
end
end
flowDone=true;
end
else
flowDone = true; % Should only happen if deepest cell is start cell
noRoute = noRoute + 1;
end
end
end
end
function [foundDeeperCell, deepestX, deepestY] = findDeepestNeighbourCell(glob,topog,x,y)
foundDeeperCell = false;
deepestCellHeight = topog(y,x);
deepestY = y; % These will be the returned values if no deeper cell is found. Important because used in gradient calc above
deepestX = x;
xInc = [0 0 1 -1 -1 1 -1 1 ];
yInc = [-1 1 0 0 1 -1 -1 1 ];
dummy = 0;% check if out of boundaries is the deepest cell
for k = 1:8 % Loop through the adjacent cells
% Calculate xco and yco from the value of x y modifed by the increments in
% xInc and yInc. Should give a coord for each of the adjacent 8 cells
xWrap = x + xInc(k);
yWrap = y + yInc(k);
if strcmp(glob.wrapRoutine,'unwrap') == 1
% if on the grid edge, inplement closed boundary boundary
if xWrap < 1; xWrap=1; end;
if xWrap > glob.xSize; xWrap=glob.xSize; end;
if yWrap < 1; yWrap = 1; end;
if yWrap > glob.ySize; yWrap = glob.ySize; end;
else
% if on the grid edge, implement wrapping-mirrored-reflecting etc boundary
if xWrap < 1; xWrap=glob.xSize; end;
if xWrap > glob.xSize; xWrap=1; end;
if yWrap < 1; yWrap = glob.ySize; end;
if yWrap > glob.ySize; yWrap = 1; end;
end
% Check the current grid cell in the neighbour loop and see if it is the deepest found so far and not already visited
% Cell is deeper
if topog(yWrap, xWrap) < deepestCellHeight
foundDeeperCell = true;
deepestCellHeight = topog(yWrap, xWrap); % added 5 Jan 2014 - elimnates depositional ridges bug on the slope
deepestX = xWrap;
deepestY = yWrap;
% two (or more(adjacent) have the same depth. Move to the closest, accounting for diagonals
elseif topog(yWrap, xWrap) == deepestCellHeight
foundDeeperCell = true;
distDeep = sqrt(double((y-deepestY)^2 + (x-deepestX)^2));
distNew = sqrt(double((y-yWrap)^2 + (x-xWrap)^2));
if distNew <= distDeep
deepestCellHeight = topog(yWrap, xWrap); % added 5 Jan 2014 - elimnates depositional ridges bug on the slope
deepestX = xWrap;
deepestY = yWrap;
end
end
end
end