Contents
- Example demonstrating well placement and optimization
- Set up grid, wells and other required quantities
- Set up objective functions and optimize
- Plot well paths
- Plot total travel time for both base and optimized case
- Plot the storage / flow capacity diagrams
- Run two-phase simulation to validate the results
- Plot the recovery at the half-way point
- Plot both problems in the same plot
Example demonstrating well placement and optimization
This example shows the well placement algorithm and/or the well rate optimization algorithm on regular cartesian grids. The script optimizes the wells and then runs incompressible simulations with different fluid properties to evaluate the validity of the optimization.
Depending on the configuration, this example may take some time to run. Different options can be changed for different results. The default is to optimize the placement of the wells, but not their rates.
mrstModule add deckformat ad-fi diagnostics gridtools spe10 mrst-gui % Start with a five spot-like well setup. Otherwise, place all injectors % near the middle of the domain. fiveSpotWells = true; % Optimize the rates during each step of the well placement optimizeSubsteps = true; % Optimize placement. If not, only injection will be optimized optimizePlacement = true; % Search radius for movement of wells. Larger radius may converge faster. wradius = 5; % Uncomment favored permeability type % Lognormal rocktype = 'tarbert'; % Channelized % rocktype = 'ness'; % Uniform % rocktype = 'uniform'; % Define grid size. If spe10 data is used, set Nx to a maximum of 60 and Ny % to a maximum of 220. The default case is a simple 60x60 grid for speed. Nx = 60; % Ny = 220; Ny = 60; Nz = 1; switch lower(rocktype) case 'ness' offset = 65; uniformRock = false; case 'tarbert' offset = 0; uniformRock = false; case 'uniform' offset = 0; uniformRock = true; otherwise error('Unknown setup!') end if uniformRock % The homogenous test case has optimization of substeps disabled by % default optimizeSubsteps = false; fiveSpotWells = false; wradius = 1; end
Set up grid, wells and other required quantities
We set up wells and other quantities based on the options in the previous section. This code is a bit verbose because it allows for different options in the same example.
% Grid setup dims = [Nx, Ny, Nz]; pdims = dims.*[20 10 2].*ft(); G = cartGrid(dims, pdims); G = computeGeometry(G); % Rock setup if uniformRock rock.poro = 0.3*ones(G.cells.num, 1); rock.perm = 100*milli*darcy*ones(G.cells.num, 1); else rock = SPE10_rock(1:Nx, 1:Ny, (1:Nz) + offset); rock.perm = convertFrom(rock.perm, milli*darcy); mp = 0.01; rock.poro(rock.poro < mp) = mp; end pv = poreVolume(G, rock); T = computeTrans(G, rock); W = []; W_prod = []; % Inject pore volume over 10 years per injector inRate = sum(pv)/(10*year); addw = @(W, i, j, k) verticalWell(W, G, rock, i, j, k, 'Val', inRate, 'Type', 'rate'); midx = ceil(Nx/2); midy = ceil(Ny/2); ik = []; for i = -1:2:1 for j = -1:2:1 if fiveSpotWells % Set up injector in each corner W = addw(W, Nx*(i==1) + 1*(i==-1), Ny*(j==1) + 1*(j==-1), ik); else % Set up injectors jumbled around the producer W = addw(W, midx - 10*i, midy - 10*j, ik); end end end % Producer W_prod = verticalWell(W_prod, G, rock, midx, midy, [], 'Val', 0, 'Type', 'bhp', 'Name', 'Producer'); nw = numel(W); % Setup well struct so the first four wells are the injectors, and then the % targets for the well optimization. targets = 1:nw; W = [W; W_prod]; % State state0 = initResSol(G, 0*barsa, [0 1 0]); % Fluid, ad system mu = [1 1 1]; n = [1 1 1]; fluid_ad = initSimpleADIFluid('mu', mu*centi*poise, 'n', n); sys = initADISystem({'Oil', 'Water'}, G, rock, fluid_ad); % Minimum fluid injection is 1/4 of the injection rate. This can be % changed. minRate = inRate/4; % Finally, plot everything together close all plotCellData(G, log10(rock.perm(:, 1))); plotWell(G, W); axis equal tight

Set up objective functions and optimize
The optimization may take some time of both rates and placement is to be optimized.
% Lorenz coefficient objective = getObjectiveDiagnostics(G, rock, 'minlorenz'); % Function handle for pressure solve solvePressure = @(W, varargin) solveStationaryPressure(G, state0, sys, W, fluid_ad, pv, T, 'objective', objective, varargin{:}); [state, D, grad0] = solvePressure(W); % Disp initial objective value grad0.objective.val optWells = @(W, varargin) optimizeWellPlacementDiagnostics(G, W, rock, objective, targets, D, minRate, state0, fluid_ad, pv, T, sys, varargin{:}); optTOF = @(W, varargin) optimizeTOF(G, W, fluid_ad, pv, T, sys,... state0, minRate, objective, ... 'targets', targets, ... 'plotProgress', true, varargin{:}); if optimizePlacement [W_opt, wellHistory, optHistory] = optWells(W, 'optimizesubsteps', optimizeSubsteps, 'searchRadius', wradius, 'wellSteps', 1, 'plotProgress', true); [state_o, D_best, grad] = solvePressure(W_opt, 'linsolve', @mldivide); else [D_best W_best history] = optTOF(W); wellHistory = []; end
ans = 0.3116 Optimizing well 1... Improved value, 0.185 to 0.179 Optimizing well 2... Improved value, 0.179 to 0.162 Optimizing well 3... Did not improve value, 0.162 to 0.162 Unable to improve W3... Optimizing well 4... Improved value, 0.162 to 0.155 Restarting loop Optimizing well 1... Did not improve value, 0.155 to 0.155 Optimizing well 2... Improved value, 0.155 to 0.143 Optimizing well 3... Improved value, 0.143 to 0.143 Optimizing well 4... Did not improve value, 0.143 to 0.151 Restarting loop Optimizing well 1... Did not improve value, 0.143 to 0.144 Optimizing well 2... Improved value, 0.143 to 0.134 Optimizing well 3... Did not improve value, 0.134 to 0.135 Optimizing well 4... Did not improve value, 0.134 to 0.142 Restarting loop Optimizing well 1... Did not improve value, 0.134 to 0.138 Optimizing well 2... Did not improve value, 0.134 to 0.161 Optimizing well 3... Did not improve value, 0.134 to 0.135 Optimizing well 4... Did not improve value, 0.134 to 0.142 No changes in wells during last step, all done

Plot well paths
We plot the paths taken by the well placement algorithm. This will only plot the porosity if only the injection rates is optimized.
clf hold on if uniformRock ec = 'k'; else ec = 'none'; end plotCellData(G, rock.poro, 'FaceAlpha', 1, 'EdgeColor', ec, 'edgea', .1) gc = G.cells.centroids; colors = {'r', 'g', 'b', 'y'}; for i = 1:numel(targets) v = W(targets(i)).cells; for j = 1:numel(wellHistory) v = [v; wellHistory{j}(i).visited]; end plot3(gc(v, 1), gc(v, 2), -ones(numel(v), 1), ['o--', colors{i}], 'LineWidth', 2, 'MarkerSize', 10, 'MarkerEdgeColor', 'black', 'MarkerFaceColor', colors{i}) end axis tight equal off view(0, 89.9) pc = W_opt(end).cells; plot3(gc(pc, 1), gc(pc, 2), -ones(numel(v), 1), ['o--', 'w'], 'LineWidth', 2, 'MarkerSize', 10, 'MarkerEdgeColor', 'black', 'MarkerFaceColor', 'w') plot3(gc([W_opt.cells], 1), gc([W_opt.cells], 2), -ones(numel([W_opt.cells]), 1), ['X', colors{i}], 'LineWidth', 2, 'MarkerSize', 10, 'MarkerEdgeColor', 'black', 'MarkerFaceColor', colors{i})

Plot total travel time for both base and optimized case
We plot the total travel time (sum of backward and forward time of flight) for both the initial and the optimized configuration. To ensure that the improvement can be seen, the colorbars are scaled by the base case.
If the optimization was successful, the regions with very high total time of flight that corresponding to poor sweep should be reduced. The highest travel time is colorized dark red.
clear cx close all Wells = {W, W_opt}; WellNames = {'Original', 'Optimized placement'}; Phis = []; Fs = []; clf for i = 1:numel(Wells) [state, Dx, gradpost] = solvePressure(Wells{i}); [F, Phi] = computeFandPhi(pv, Dx.tof); Lc = computeLorenz(F, Phi); subplot(2,1, i) plotCellData(G, log10(sum(Dx.tof, 2))) if exist('cx', 'var') caxis(cx) else cx = caxis(); end title(sprintf('%s, L_c = %1.2f', WellNames{i}, Lc)) plotWellsPrint(G, Wells{i}, D) axis tight equal off colorbar Phis = [Phis, Phi]; Fs = [Fs, F]; end % Add the baseline optimal case (i.e. a linear function of Phi) Phis = [Phis, Phi]; Fs = [Fs, Phi];

Plot the storage / flow capacity diagrams
We also plot the flow capacity / storage capacity diagram (F-Phi) curves for both the base and optimized case. As the Lorenz' coefficient is defined proportionally to the integral between the idealized curve and actual curve, the improvement is easy to see from the resulting plot.
figure; plot(Phis, Fs, '--', 'LineWidth', 2) if fiveSpotWells fs = 'Five spot'; else fs = 'Initial well placement'; end title('F / Phi-curve before and after optimization'); xlabel('\Phi'); ylabel('F'); grid on legend({fs, 'Improved well placement', 'Idealized displacement'}, 'location', 'South')

Run two-phase simulation to validate the results
To validate that the optimization correlates with the simulated oil recovery, we simulate a five year period using two different fluids.
The first fluid contains the same values for both oil and water, effectively giving us a red/blue-water problem that should give very good oil recovery even for the base case, as the saturation fronts will be sharp and the water will displace the "oil" efficiently.
The second fluid object will contain a significant viscosity ratio of 10, which makes oil recovery much more challenging because the fronts will be smeared. The purpose of this fluid is to validate that the single phase optimization procedure still has merit when extended to multiphase problems. For simplicity, the problem is incompressible and uses a pressure/transport splitting for speed.
% Define recovery via pore volume recov = @(state) 1 - sum(state.s(:,2).*pv)/sum(pv); close all % Make a copy of the wells, and explicitly make them two phase wells. W_initial = W; W_improved = W_opt; for i = 1:numel(W_initial) W_initial(i).compi = W_initial(i).compi(1:2); W_improved(i).compi = W_improved(i).compi(1:2); end % Set up fluids fluids = cell(2,1); fluids{1} = initSimpleFluid('mu' , [ 1, 1]*centi*poise , ... 'rho', [1000, 1000]*kilogram/meter^3, ... 'n' , [ 1, 1]); fluids{1}.name = 'unitary'; fluids{2} = initSimpleFluid('mu' , [ 1, 10]*centi*poise , ... 'rho', [1000, 700]*kilogram/meter^3, ... 'n' , [ 1, 1]); fluids{2}.name = 'oil-water'; % Store the different states in cell arrays states_improved = cell(2,1); states_initial = cell(2,1); for i = 1:numel(fluids) h = figure; fluid = fluids{i}; state_a = state0; state_a.s = state_a.s(:,1:2); state_b = state_a; initial = []; improved = []; % Pressure solve - TPFA discretization psolve = @(state, w) incompTPFA(state, G, T, fluid, 'wells', w, 'Verbose', false); % Transport solve - implicit transport solver tsolve = @(state, w, dT) implicitTransport(state, G, dT, rock, ... fluid, 'wells', w, 'Verbose', false); % Make convenient function handle for doing both pressure and % transport solve = @(state, w, dT) tsolve(psolve(state, w), w, dT); % Five day timesteps to get a nice animation dt = 5*day; Time = 0; % Five year horizont endtime = 5*year; while Time < endtime % Solve the timestep and store the data state_a = solve(state_a, W_initial, dt); state_b = solve(state_b, W_improved, dt); initial = [initial; state_a]; %#ok improved = [improved; state_b]; %#ok Time = Time + dt; clf sa = state_a.s(:,2); sb = state_b.s(:,2); % Plot the base case set(0, 'CurrentFigure', h); subplot(2,2,1) plotCellData(G, sa); title('Oil saturation, base case') caxis([0, 1]) axis tight off % Plot the improved case subplot(2,2,2) plotCellData(G, sb); title('Oil saturation, optimized') caxis([0, 1]) axis tight off % Plot the historic oil production underway subplot(2,2, 3:4) plot(cumsum(ones(numel(initial), 1)*dt)/year, ... 100*arrayfun(recov, [initial, improved]), '-', 'LineWidth', 2) xlim([0, endtime/year]) ylim([0, 100]); grid on xlabel('Years') ylabel('Oil recovered (%)') legend('Base case', 'Optimized', 'location', 'southeast') title(['Recovery for ', fluid.name, ' fluid']); drawnow % Ouput to terminal... fprintf('Recovery after %s: Initial: %2.1f%%, Modified: %2.1f%%\n', ... formatTimeRange(Time), ... 100*recov(state_a), ... 100*recov(state_b)) end states_initial{i} = initial; states_improved{i} = improved; end
Recovery after 5 Days: Initial: 0.5%, Modified: 0.5% Recovery after 10 Days: Initial: 1.1%, Modified: 1.1% Recovery after 15 Days: Initial: 1.6%, Modified: 1.6% Recovery after 20 Days: Initial: 2.2%, Modified: 2.2% Recovery after 25 Days: Initial: 2.7%, Modified: 2.7% Recovery after 30 Days: Initial: 3.3%, Modified: 3.3% Recovery after 35 Days: Initial: 3.8%, Modified: 3.8% Recovery after 40 Days: Initial: 4.4%, Modified: 4.4% Recovery after 45 Days: Initial: 4.9%, Modified: 4.9% Recovery after 50 Days: Initial: 5.5%, Modified: 5.5% Recovery after 55 Days: Initial: 6.0%, Modified: 6.0% Recovery after 60 Days: Initial: 6.6%, Modified: 6.6% Recovery after 65 Days: Initial: 7.1%, Modified: 7.1% Recovery after 70 Days: Initial: 7.7%, Modified: 7.7% Recovery after 75 Days: Initial: 8.2%, Modified: 8.2% Recovery after 80 Days: Initial: 8.8%, Modified: 8.8% Recovery after 85 Days: Initial: 9.3%, Modified: 9.3% Recovery after 90 Days: Initial: 9.9%, Modified: 9.9% Recovery after 95 Days: Initial: 10.4%, Modified: 10.4% Recovery after 100 Days: Initial: 11.0%, Modified: 11.0% Recovery after 105 Days: Initial: 11.5%, Modified: 11.5% Recovery after 110 Days: Initial: 12.1%, Modified: 12.1% Recovery after 115 Days: Initial: 12.6%, Modified: 12.6% Recovery after 120 Days: Initial: 13.2%, Modified: 13.2% Recovery after 125 Days: Initial: 13.7%, Modified: 13.7% Recovery after 130 Days: Initial: 14.2%, Modified: 14.2% Recovery after 135 Days: Initial: 14.8%, Modified: 14.8% Recovery after 140 Days: Initial: 15.3%, Modified: 15.3% Recovery after 145 Days: Initial: 15.9%, Modified: 15.9% Recovery after 150 Days: Initial: 16.4%, Modified: 16.4% Recovery after 155 Days: Initial: 17.0%, Modified: 17.0% Recovery after 160 Days: Initial: 17.5%, Modified: 17.5% Recovery after 165 Days: Initial: 18.1%, Modified: 18.1% Recovery after 170 Days: Initial: 18.6%, Modified: 18.6% Recovery after 175 Days: Initial: 19.2%, Modified: 19.2% Recovery after 180 Days: Initial: 19.7%, Modified: 19.7% Recovery after 185 Days: Initial: 20.3%, Modified: 20.3% Recovery after 190 Days: Initial: 20.8%, Modified: 20.8% Recovery after 195 Days: Initial: 21.4%, Modified: 21.4% Recovery after 200 Days: Initial: 21.9%, Modified: 21.9% Recovery after 205 Days: Initial: 22.4%, Modified: 22.5% Recovery after 210 Days: Initial: 23.0%, Modified: 23.0% Recovery after 215 Days: Initial: 23.5%, Modified: 23.5% Recovery after 220 Days: Initial: 24.1%, Modified: 24.1% Recovery after 225 Days: Initial: 24.6%, Modified: 24.6% Recovery after 230 Days: Initial: 25.2%, Modified: 25.2% Recovery after 235 Days: Initial: 25.7%, Modified: 25.7% Recovery after 240 Days: Initial: 26.2%, Modified: 26.3% Recovery after 245 Days: Initial: 26.8%, Modified: 26.8% Recovery after 250 Days: Initial: 27.3%, Modified: 27.3% Recovery after 255 Days: Initial: 27.8%, Modified: 27.9% Recovery after 260 Days: Initial: 28.3%, Modified: 28.4% Recovery after 265 Days: Initial: 28.9%, Modified: 29.0% Recovery after 270 Days: Initial: 29.4%, Modified: 29.5% Recovery after 275 Days: Initial: 29.9%, Modified: 30.0% Recovery after 280 Days: Initial: 30.4%, Modified: 30.6% Recovery after 285 Days: Initial: 30.9%, Modified: 31.1% Recovery after 290 Days: Initial: 31.4%, Modified: 31.6% Recovery after 295 Days: Initial: 31.9%, Modified: 32.2% Recovery after 300 Days: Initial: 32.4%, Modified: 32.7% Recovery after 305 Days: Initial: 32.9%, Modified: 33.2% Recovery after 310 Days: Initial: 33.4%, Modified: 33.7% Recovery after 315 Days: Initial: 33.9%, Modified: 34.3% Recovery after 320 Days: Initial: 34.4%, Modified: 34.8% Recovery after 325 Days: Initial: 34.9%, Modified: 35.3% Recovery after 330 Days: Initial: 35.4%, Modified: 35.9% Recovery after 335 Days: Initial: 35.8%, Modified: 36.4% Recovery after 340 Days: Initial: 36.3%, Modified: 36.9% Recovery after 345 Days: Initial: 36.8%, Modified: 37.4% Recovery after 350 Days: Initial: 37.2%, Modified: 37.9% Recovery after 355 Days: Initial: 37.7%, Modified: 38.5% Recovery after 360 Days: Initial: 38.1%, Modified: 39.0% Recovery after 1 Year: Initial: 38.6%, Modified: 39.5% Recovery after 1 Year, 5 Days: Initial: 39.0%, Modified: 40.0% Recovery after 1 Year, 10 Days: Initial: 39.5%, Modified: 40.5% Recovery after 1 Year, 15 Days: Initial: 39.9%, Modified: 41.1% Recovery after 1 Year, 20 Days: Initial: 40.3%, Modified: 41.6% Recovery after 1 Year, 25 Days: Initial: 40.8%, Modified: 42.1% Recovery after 1 Year, 30 Days: Initial: 41.2%, Modified: 42.6% Recovery after 1 Year, 35 Days: Initial: 41.6%, Modified: 43.1% Recovery after 1 Year, 40 Days: Initial: 42.0%, Modified: 43.6% Recovery after 1 Year, 45 Days: Initial: 42.4%, Modified: 44.2% Recovery after 1 Year, 50 Days: Initial: 42.8%, Modified: 44.7% Recovery after 1 Year, 55 Days: Initial: 43.2%, Modified: 45.2% Recovery after 1 Year, 60 Days: Initial: 43.6%, Modified: 45.7% Recovery after 1 Year, 65 Days: Initial: 44.0%, Modified: 46.2% Recovery after 1 Year, 70 Days: Initial: 44.4%, Modified: 46.7% Recovery after 1 Year, 75 Days: Initial: 44.8%, Modified: 47.2% Recovery after 1 Year, 80 Days: Initial: 45.2%, Modified: 47.7% Recovery after 1 Year, 85 Days: Initial: 45.6%, Modified: 48.3% Recovery after 1 Year, 90 Days: Initial: 45.9%, Modified: 48.8% Recovery after 1 Year, 95 Days: Initial: 46.3%, Modified: 49.3% Recovery after 1 Year, 100 Days: Initial: 46.7%, Modified: 49.8% Recovery after 1 Year, 105 Days: Initial: 47.0%, Modified: 50.3% Recovery after 1 Year, 110 Days: Initial: 47.4%, Modified: 50.8% Recovery after 1 Year, 115 Days: Initial: 47.8%, Modified: 51.3% Recovery after 1 Year, 120 Days: Initial: 48.1%, Modified: 51.8% Recovery after 1 Year, 125 Days: Initial: 48.5%, Modified: 52.3% Recovery after 1 Year, 130 Days: Initial: 48.8%, Modified: 52.8% Recovery after 1 Year, 135 Days: Initial: 49.2%, Modified: 53.3% Recovery after 1 Year, 140 Days: Initial: 49.5%, Modified: 53.8% Recovery after 1 Year, 145 Days: Initial: 49.9%, Modified: 54.3% Recovery after 1 Year, 150 Days: Initial: 50.2%, Modified: 54.9% Recovery after 1 Year, 155 Days: Initial: 50.6%, Modified: 55.4% Recovery after 1 Year, 160 Days: Initial: 50.9%, Modified: 55.9% Recovery after 1 Year, 165 Days: Initial: 51.2%, Modified: 56.4% Recovery after 1 Year, 170 Days: Initial: 51.6%, Modified: 56.9% Recovery after 1 Year, 175 Days: Initial: 51.9%, Modified: 57.3% Recovery after 1 Year, 180 Days: Initial: 52.2%, Modified: 57.8% Recovery after 1 Year, 185 Days: Initial: 52.5%, Modified: 58.3% Recovery after 1 Year, 190 Days: Initial: 52.9%, Modified: 58.8% Recovery after 1 Year, 195 Days: Initial: 53.2%, Modified: 59.3% Recovery after 1 Year, 200 Days: Initial: 53.5%, Modified: 59.8% Recovery after 1 Year, 205 Days: Initial: 53.8%, Modified: 60.3% Recovery after 1 Year, 210 Days: Initial: 54.2%, Modified: 60.8% Recovery after 1 Year, 215 Days: Initial: 54.5%, Modified: 61.3% Recovery after 1 Year, 220 Days: Initial: 54.8%, Modified: 61.8% Recovery after 1 Year, 225 Days: Initial: 55.1%, Modified: 62.3% Recovery after 1 Year, 230 Days: Initial: 55.4%, Modified: 62.7% Recovery after 1 Year, 235 Days: Initial: 55.7%, Modified: 63.2% Recovery after 1 Year, 240 Days: Initial: 56.0%, Modified: 63.7% Recovery after 1 Year, 245 Days: Initial: 56.3%, Modified: 64.2% Recovery after 1 Year, 250 Days: Initial: 56.6%, Modified: 64.6% Recovery after 1 Year, 255 Days: Initial: 57.0%, Modified: 65.1% Recovery after 1 Year, 260 Days: Initial: 57.3%, Modified: 65.6% Recovery after 1 Year, 265 Days: Initial: 57.6%, Modified: 66.0% Recovery after 1 Year, 270 Days: Initial: 57.9%, Modified: 66.5% Recovery after 1 Year, 275 Days: Initial: 58.2%, Modified: 67.0% Recovery after 1 Year, 280 Days: Initial: 58.5%, Modified: 67.4% Recovery after 1 Year, 285 Days: Initial: 58.8%, Modified: 67.9% Recovery after 1 Year, 290 Days: Initial: 59.1%, Modified: 68.3% Recovery after 1 Year, 295 Days: Initial: 59.4%, Modified: 68.8% Recovery after 1 Year, 300 Days: Initial: 59.7%, Modified: 69.2% Recovery after 1 Year, 305 Days: Initial: 60.0%, Modified: 69.7% Recovery after 1 Year, 310 Days: Initial: 60.3%, Modified: 70.1% Recovery after 1 Year, 315 Days: Initial: 60.6%, Modified: 70.5% Recovery after 1 Year, 320 Days: Initial: 60.9%, Modified: 71.0% Recovery after 1 Year, 325 Days: Initial: 61.1%, Modified: 71.4% Recovery after 1 Year, 330 Days: Initial: 61.4%, Modified: 71.8% Recovery after 1 Year, 335 Days: Initial: 61.7%, Modified: 72.2% Recovery after 1 Year, 340 Days: Initial: 62.0%, Modified: 72.7% Recovery after 1 Year, 345 Days: Initial: 62.3%, Modified: 73.1% Recovery after 1 Year, 350 Days: Initial: 62.6%, Modified: 73.5% Recovery after 1 Year, 355 Days: Initial: 62.9%, Modified: 73.9% Recovery after 1 Year, 360 Days: Initial: 63.2%, Modified: 74.3% Recovery after 2 Years: Initial: 63.5%, Modified: 74.7% Recovery after 2 Years, 5 Days: Initial: 63.8%, Modified: 75.1% Recovery after 2 Years, 10 Days: Initial: 64.0%, Modified: 75.5% Recovery after 2 Years, 15 Days: Initial: 64.3%, Modified: 75.8% Recovery after 2 Years, 20 Days: Initial: 64.6%, Modified: 76.2% Recovery after 2 Years, 25 Days: Initial: 64.9%, Modified: 76.6% Recovery after 2 Years, 30 Days: Initial: 65.2%, Modified: 77.0% Recovery after 2 Years, 35 Days: Initial: 65.5%, Modified: 77.3% Recovery after 2 Years, 40 Days: Initial: 65.7%, Modified: 77.7% Recovery after 2 Years, 45 Days: Initial: 66.0%, Modified: 78.0% Recovery after 2 Years, 50 Days: Initial: 66.3%, Modified: 78.4% Recovery after 2 Years, 55 Days: Initial: 66.6%, Modified: 78.7% Recovery after 2 Years, 60 Days: Initial: 66.9%, Modified: 79.1% Recovery after 2 Years, 65 Days: Initial: 67.1%, Modified: 79.4% Recovery after 2 Years, 70 Days: Initial: 67.4%, Modified: 79.7% Recovery after 2 Years, 75 Days: Initial: 67.7%, Modified: 80.1% Recovery after 2 Years, 80 Days: Initial: 68.0%, Modified: 80.4% Recovery after 2 Years, 85 Days: Initial: 68.2%, Modified: 80.7% Recovery after 2 Years, 90 Days: Initial: 68.5%, Modified: 81.0% Recovery after 2 Years, 95 Days: Initial: 68.8%, Modified: 81.3% Recovery after 2 Years, 100 Days: Initial: 69.1%, Modified: 81.6% Recovery after 2 Years, 105 Days: Initial: 69.3%, Modified: 81.9% Recovery after 2 Years, 110 Days: Initial: 69.6%, Modified: 82.2% Recovery after 2 Years, 115 Days: Initial: 69.9%, Modified: 82.5% Recovery after 2 Years, 120 Days: Initial: 70.1%, Modified: 82.8% Recovery after 2 Years, 125 Days: Initial: 70.4%, Modified: 83.1% Recovery after 2 Years, 130 Days: Initial: 70.7%, Modified: 83.4% Recovery after 2 Years, 135 Days: Initial: 70.9%, Modified: 83.6% Recovery after 2 Years, 140 Days: Initial: 71.2%, Modified: 83.9% Recovery after 2 Years, 145 Days: Initial: 71.4%, Modified: 84.2% Recovery after 2 Years, 150 Days: Initial: 71.7%, Modified: 84.4% Recovery after 2 Years, 155 Days: Initial: 72.0%, Modified: 84.7% Recovery after 2 Years, 160 Days: Initial: 72.2%, Modified: 84.9% Recovery after 2 Years, 165 Days: Initial: 72.5%, Modified: 85.2% Recovery after 2 Years, 170 Days: Initial: 72.7%, Modified: 85.4% Recovery after 2 Years, 175 Days: Initial: 73.0%, Modified: 85.7% Recovery after 2 Years, 180 Days: Initial: 73.2%, Modified: 85.9% Recovery after 2 Years, 185 Days: Initial: 73.5%, Modified: 86.1% Recovery after 2 Years, 190 Days: Initial: 73.7%, Modified: 86.3% Recovery after 2 Years, 195 Days: Initial: 74.0%, Modified: 86.6% Recovery after 2 Years, 200 Days: Initial: 74.2%, Modified: 86.8% Recovery after 2 Years, 205 Days: Initial: 74.5%, Modified: 87.0% Recovery after 2 Years, 210 Days: Initial: 74.7%, Modified: 87.2% Recovery after 2 Years, 215 Days: Initial: 74.9%, Modified: 87.4% Recovery after 2 Years, 220 Days: Initial: 75.2%, Modified: 87.6% Recovery after 2 Years, 225 Days: Initial: 75.4%, Modified: 87.8% Recovery after 2 Years, 230 Days: Initial: 75.7%, Modified: 88.0% Recovery after 2 Years, 235 Days: Initial: 75.9%, Modified: 88.2% Recovery after 2 Years, 240 Days: Initial: 76.1%, Modified: 88.3% Recovery after 2 Years, 245 Days: Initial: 76.3%, Modified: 88.5% Recovery after 2 Years, 250 Days: Initial: 76.6%, Modified: 88.7% Recovery after 2 Years, 255 Days: Initial: 76.8%, Modified: 88.9% Recovery after 2 Years, 260 Days: Initial: 77.0%, Modified: 89.0% Recovery after 2 Years, 265 Days: Initial: 77.3%, Modified: 89.2% Recovery after 2 Years, 270 Days: Initial: 77.5%, Modified: 89.4% Recovery after 2 Years, 275 Days: Initial: 77.7%, Modified: 89.5% Recovery after 2 Years, 280 Days: Initial: 77.9%, Modified: 89.7% Recovery after 2 Years, 285 Days: Initial: 78.1%, Modified: 89.8% Recovery after 2 Years, 290 Days: Initial: 78.3%, Modified: 90.0% Recovery after 2 Years, 295 Days: Initial: 78.6%, Modified: 90.1% Recovery after 2 Years, 300 Days: Initial: 78.8%, Modified: 90.3% Recovery after 2 Years, 305 Days: Initial: 79.0%, Modified: 90.4% Recovery after 2 Years, 310 Days: Initial: 79.2%, Modified: 90.5% Recovery after 2 Years, 315 Days: Initial: 79.4%, Modified: 90.7% Recovery after 2 Years, 320 Days: Initial: 79.6%, Modified: 90.8% Recovery after 2 Years, 325 Days: Initial: 79.8%, Modified: 90.9% Recovery after 2 Years, 330 Days: Initial: 80.0%, Modified: 91.1% Recovery after 2 Years, 335 Days: Initial: 80.2%, Modified: 91.2% Recovery after 2 Years, 340 Days: Initial: 80.4%, Modified: 91.3% Recovery after 2 Years, 345 Days: Initial: 80.6%, Modified: 91.4% Recovery after 2 Years, 350 Days: Initial: 80.8%, Modified: 91.5% Recovery after 2 Years, 355 Days: Initial: 81.0%, Modified: 91.7% Recovery after 2 Years, 360 Days: Initial: 81.2%, Modified: 91.8% Recovery after 3 Years: Initial: 81.3%, Modified: 91.9% Recovery after 3 Years, 5 Days: Initial: 81.5%, Modified: 92.0% Recovery after 3 Years, 10 Days: Initial: 81.7%, Modified: 92.1% Recovery after 3 Years, 15 Days: Initial: 81.9%, Modified: 92.2% Recovery after 3 Years, 20 Days: Initial: 82.1%, Modified: 92.3% Recovery after 3 Years, 25 Days: Initial: 82.2%, Modified: 92.4% Recovery after 3 Years, 30 Days: Initial: 82.4%, Modified: 92.5% Recovery after 3 Years, 35 Days: Initial: 82.6%, Modified: 92.6% Recovery after 3 Years, 40 Days: Initial: 82.8%, Modified: 92.7% Recovery after 3 Years, 45 Days: Initial: 82.9%, Modified: 92.8% Recovery after 3 Years, 50 Days: Initial: 83.1%, Modified: 92.9% Recovery after 3 Years, 55 Days: Initial: 83.3%, Modified: 92.9% Recovery after 3 Years, 60 Days: Initial: 83.4%, Modified: 93.0% Recovery after 3 Years, 65 Days: Initial: 83.6%, Modified: 93.1% Recovery after 3 Years, 70 Days: Initial: 83.8%, Modified: 93.2% Recovery after 3 Years, 75 Days: Initial: 83.9%, Modified: 93.3% Recovery after 3 Years, 80 Days: Initial: 84.1%, Modified: 93.4% Recovery after 3 Years, 85 Days: Initial: 84.2%, Modified: 93.4% Recovery after 3 Years, 90 Days: Initial: 84.4%, Modified: 93.5% Recovery after 3 Years, 95 Days: Initial: 84.5%, Modified: 93.6% Recovery after 3 Years, 100 Days: Initial: 84.7%, Modified: 93.7% Recovery after 3 Years, 105 Days: Initial: 84.8%, Modified: 93.7% Recovery after 3 Years, 110 Days: Initial: 85.0%, Modified: 93.8% Recovery after 3 Years, 115 Days: Initial: 85.1%, Modified: 93.9% Recovery after 3 Years, 120 Days: Initial: 85.3%, Modified: 93.9% Recovery after 3 Years, 125 Days: Initial: 85.4%, Modified: 94.0% Recovery after 3 Years, 130 Days: Initial: 85.6%, Modified: 94.1% Recovery after 3 Years, 135 Days: Initial: 85.7%, Modified: 94.1% Recovery after 3 Years, 140 Days: Initial: 85.9%, Modified: 94.2% Recovery after 3 Years, 145 Days: Initial: 86.0%, Modified: 94.3% Recovery after 3 Years, 150 Days: Initial: 86.1%, Modified: 94.3% Recovery after 3 Years, 155 Days: Initial: 86.3%, Modified: 94.4% Recovery after 3 Years, 160 Days: Initial: 86.4%, Modified: 94.4% Recovery after 3 Years, 165 Days: Initial: 86.5%, Modified: 94.5% Recovery after 3 Years, 170 Days: Initial: 86.7%, Modified: 94.6% Recovery after 3 Years, 175 Days: Initial: 86.8%, Modified: 94.6% Recovery after 3 Years, 180 Days: Initial: 86.9%, Modified: 94.7% Recovery after 3 Years, 185 Days: Initial: 87.0%, Modified: 94.7% Recovery after 3 Years, 190 Days: Initial: 87.2%, Modified: 94.8% Recovery after 3 Years, 195 Days: Initial: 87.3%, Modified: 94.8% Recovery after 3 Years, 200 Days: Initial: 87.4%, Modified: 94.9% Recovery after 3 Years, 205 Days: Initial: 87.5%, Modified: 94.9% Recovery after 3 Years, 210 Days: Initial: 87.6%, Modified: 95.0% Recovery after 3 Years, 215 Days: Initial: 87.8%, Modified: 95.0% Recovery after 3 Years, 220 Days: Initial: 87.9%, Modified: 95.1% Recovery after 3 Years, 225 Days: Initial: 88.0%, Modified: 95.1% Recovery after 3 Years, 230 Days: Initial: 88.1%, Modified: 95.2% Recovery after 3 Years, 235 Days: Initial: 88.2%, Modified: 95.2% Recovery after 3 Years, 240 Days: Initial: 88.3%, Modified: 95.3% Recovery after 3 Years, 245 Days: Initial: 88.4%, Modified: 95.3% Recovery after 3 Years, 250 Days: Initial: 88.5%, Modified: 95.3% Recovery after 3 Years, 255 Days: Initial: 88.6%, Modified: 95.4% Recovery after 3 Years, 260 Days: Initial: 88.7%, Modified: 95.4% Recovery after 3 Years, 265 Days: Initial: 88.8%, Modified: 95.5% Recovery after 3 Years, 270 Days: Initial: 89.0%, Modified: 95.5% Recovery after 3 Years, 275 Days: Initial: 89.1%, Modified: 95.6% Recovery after 3 Years, 280 Days: Initial: 89.2%, Modified: 95.6% Recovery after 3 Years, 285 Days: Initial: 89.3%, Modified: 95.6% Recovery after 3 Years, 290 Days: Initial: 89.3%, Modified: 95.7% Recovery after 3 Years, 295 Days: Initial: 89.4%, Modified: 95.7% Recovery after 3 Years, 300 Days: Initial: 89.5%, Modified: 95.8% Recovery after 3 Years, 305 Days: Initial: 89.6%, Modified: 95.8% Recovery after 3 Years, 310 Days: Initial: 89.7%, Modified: 95.8% Recovery after 3 Years, 315 Days: Initial: 89.8%, Modified: 95.9% Recovery after 3 Years, 320 Days: Initial: 89.9%, Modified: 95.9% Recovery after 3 Years, 325 Days: Initial: 90.0%, Modified: 95.9% Recovery after 3 Years, 330 Days: Initial: 90.1%, Modified: 96.0% Recovery after 3 Years, 335 Days: Initial: 90.2%, Modified: 96.0% Recovery after 3 Years, 340 Days: Initial: 90.3%, Modified: 96.0% Recovery after 3 Years, 345 Days: Initial: 90.3%, Modified: 96.1% Recovery after 3 Years, 350 Days: Initial: 90.4%, Modified: 96.1% Recovery after 3 Years, 355 Days: Initial: 90.5%, Modified: 96.1% Recovery after 3 Years, 360 Days: Initial: 90.6%, Modified: 96.2% Recovery after 4 Years: Initial: 90.7%, Modified: 96.2% Recovery after 4 Years, 5 Days: Initial: 90.8%, Modified: 96.2% Recovery after 4 Years, 10 Days: Initial: 90.8%, Modified: 96.3% Recovery after 4 Years, 15 Days: Initial: 90.9%, Modified: 96.3% Recovery after 4 Years, 20 Days: Initial: 91.0%, Modified: 96.3% Recovery after 4 Years, 25 Days: Initial: 91.1%, Modified: 96.4% Recovery after 4 Years, 30 Days: Initial: 91.1%, Modified: 96.4% Recovery after 4 Years, 35 Days: Initial: 91.2%, Modified: 96.4% Recovery after 4 Years, 40 Days: Initial: 91.3%, Modified: 96.4% Recovery after 4 Years, 45 Days: Initial: 91.4%, Modified: 96.5% Recovery after 4 Years, 50 Days: Initial: 91.4%, Modified: 96.5% Recovery after 4 Years, 55 Days: Initial: 91.5%, Modified: 96.5% Recovery after 4 Years, 60 Days: Initial: 91.6%, Modified: 96.6% Recovery after 4 Years, 65 Days: Initial: 91.6%, Modified: 96.6% Recovery after 4 Years, 70 Days: Initial: 91.7%, Modified: 96.6% Recovery after 4 Years, 75 Days: Initial: 91.8%, Modified: 96.6% Recovery after 4 Years, 80 Days: Initial: 91.8%, Modified: 96.7% Recovery after 4 Years, 85 Days: Initial: 91.9%, Modified: 96.7% Recovery after 4 Years, 90 Days: Initial: 92.0%, Modified: 96.7% Recovery after 4 Years, 95 Days: Initial: 92.0%, Modified: 96.7% Recovery after 4 Years, 100 Days: Initial: 92.1%, Modified: 96.8% Recovery after 4 Years, 105 Days: Initial: 92.2%, Modified: 96.8% Recovery after 4 Years, 110 Days: Initial: 92.2%, Modified: 96.8% Recovery after 4 Years, 115 Days: Initial: 92.3%, Modified: 96.8% Recovery after 4 Years, 120 Days: Initial: 92.3%, Modified: 96.9% Recovery after 4 Years, 125 Days: Initial: 92.4%, Modified: 96.9% Recovery after 4 Years, 130 Days: Initial: 92.5%, Modified: 96.9% Recovery after 4 Years, 135 Days: Initial: 92.5%, Modified: 96.9% Recovery after 4 Years, 140 Days: Initial: 92.6%, Modified: 97.0% Recovery after 4 Years, 145 Days: Initial: 92.6%, Modified: 97.0% Recovery after 4 Years, 150 Days: Initial: 92.7%, Modified: 97.0% Recovery after 4 Years, 155 Days: Initial: 92.7%, Modified: 97.0% Recovery after 4 Years, 160 Days: Initial: 92.8%, Modified: 97.1% Recovery after 4 Years, 165 Days: Initial: 92.9%, Modified: 97.1% Recovery after 4 Years, 170 Days: Initial: 92.9%, Modified: 97.1% Recovery after 4 Years, 175 Days: Initial: 93.0%, Modified: 97.1% Recovery after 4 Years, 180 Days: Initial: 93.0%, Modified: 97.1% Recovery after 4 Years, 185 Days: Initial: 93.1%, Modified: 97.2% Recovery after 4 Years, 190 Days: Initial: 93.1%, Modified: 97.2% Recovery after 4 Years, 195 Days: Initial: 93.2%, Modified: 97.2% Recovery after 4 Years, 200 Days: Initial: 93.2%, Modified: 97.2% Recovery after 4 Years, 205 Days: Initial: 93.3%, Modified: 97.3% Recovery after 4 Years, 210 Days: Initial: 93.3%, Modified: 97.3% Recovery after 4 Years, 215 Days: Initial: 93.4%, Modified: 97.3% Recovery after 4 Years, 220 Days: Initial: 93.4%, Modified: 97.3% Recovery after 4 Years, 225 Days: Initial: 93.4%, Modified: 97.3% Recovery after 4 Years, 230 Days: Initial: 93.5%, Modified: 97.4% Recovery after 4 Years, 235 Days: Initial: 93.5%, Modified: 97.4% Recovery after 4 Years, 240 Days: Initial: 93.6%, Modified: 97.4% Recovery after 4 Years, 245 Days: Initial: 93.6%, Modified: 97.4% Recovery after 4 Years, 250 Days: Initial: 93.7%, Modified: 97.4% Recovery after 4 Years, 255 Days: Initial: 93.7%, Modified: 97.5% Recovery after 4 Years, 260 Days: Initial: 93.8%, Modified: 97.5% Recovery after 4 Years, 265 Days: Initial: 93.8%, Modified: 97.5% Recovery after 4 Years, 270 Days: Initial: 93.8%, Modified: 97.5% Recovery after 4 Years, 275 Days: Initial: 93.9%, Modified: 97.5% Recovery after 4 Years, 280 Days: Initial: 93.9%, Modified: 97.5% Recovery after 4 Years, 285 Days: Initial: 94.0%, Modified: 97.6% Recovery after 4 Years, 290 Days: Initial: 94.0%, Modified: 97.6% Recovery after 4 Years, 295 Days: Initial: 94.0%, Modified: 97.6% Recovery after 4 Years, 300 Days: Initial: 94.1%, Modified: 97.6% Recovery after 4 Years, 305 Days: Initial: 94.1%, Modified: 97.6% Recovery after 4 Years, 310 Days: Initial: 94.1%, Modified: 97.7% Recovery after 4 Years, 315 Days: Initial: 94.2%, Modified: 97.7% Recovery after 4 Years, 320 Days: Initial: 94.2%, Modified: 97.7% Recovery after 4 Years, 325 Days: Initial: 94.3%, Modified: 97.7% Recovery after 4 Years, 330 Days: Initial: 94.3%, Modified: 97.7% Recovery after 4 Years, 335 Days: Initial: 94.3%, Modified: 97.7% Recovery after 4 Years, 340 Days: Initial: 94.4%, Modified: 97.8% Recovery after 4 Years, 345 Days: Initial: 94.4%, Modified: 97.8% Recovery after 4 Years, 350 Days: Initial: 94.4%, Modified: 97.8% Recovery after 4 Years, 355 Days: Initial: 94.5%, Modified: 97.8% Recovery after 4 Years, 360 Days: Initial: 94.5%, Modified: 97.8% Recovery after 5 Years: Initial: 94.5%, Modified: 97.8% Recovery after 5 Days: Initial: 0.5%, Modified: 0.5% Recovery after 10 Days: Initial: 1.1%, Modified: 1.1% Recovery after 15 Days: Initial: 1.6%, Modified: 1.6% Recovery after 20 Days: Initial: 2.2%, Modified: 2.2% Recovery after 25 Days: Initial: 2.7%, Modified: 2.7% Recovery after 30 Days: Initial: 3.2%, Modified: 3.3% Recovery after 35 Days: Initial: 3.7%, Modified: 3.8% Recovery after 40 Days: Initial: 4.2%, Modified: 4.3% Recovery after 45 Days: Initial: 4.7%, Modified: 4.8% Recovery after 50 Days: Initial: 5.2%, Modified: 5.3% Recovery after 55 Days: Initial: 5.7%, Modified: 5.9% Recovery after 60 Days: Initial: 6.1%, Modified: 6.3% Recovery after 65 Days: Initial: 6.6%, Modified: 6.8% Recovery after 70 Days: Initial: 7.0%, Modified: 7.3% Recovery after 75 Days: Initial: 7.4%, Modified: 7.8% Recovery after 80 Days: Initial: 7.8%, Modified: 8.3% Recovery after 85 Days: Initial: 8.2%, Modified: 8.7% Recovery after 90 Days: Initial: 8.6%, Modified: 9.2% Recovery after 95 Days: Initial: 9.0%, Modified: 9.6% Recovery after 100 Days: Initial: 9.3%, Modified: 10.1% Recovery after 105 Days: Initial: 9.7%, Modified: 10.5% Recovery after 110 Days: Initial: 10.1%, Modified: 10.9% Recovery after 115 Days: Initial: 10.4%, Modified: 11.3% Recovery after 120 Days: Initial: 10.8%, Modified: 11.7% Recovery after 125 Days: Initial: 11.1%, Modified: 12.1% Recovery after 130 Days: Initial: 11.4%, Modified: 12.5% Recovery after 135 Days: Initial: 11.8%, Modified: 12.9% Recovery after 140 Days: Initial: 12.1%, Modified: 13.3% Recovery after 145 Days: Initial: 12.4%, Modified: 13.7% Recovery after 150 Days: Initial: 12.7%, Modified: 14.0% Recovery after 155 Days: Initial: 13.0%, Modified: 14.4% Recovery after 160 Days: Initial: 13.3%, Modified: 14.7% Recovery after 165 Days: Initial: 13.6%, Modified: 15.1% Recovery after 170 Days: Initial: 13.9%, Modified: 15.4% Recovery after 175 Days: Initial: 14.2%, Modified: 15.8% Recovery after 180 Days: Initial: 14.5%, Modified: 16.1% Recovery after 185 Days: Initial: 14.8%, Modified: 16.4% Recovery after 190 Days: Initial: 15.1%, Modified: 16.7% Recovery after 195 Days: Initial: 15.4%, Modified: 17.1% Recovery after 200 Days: Initial: 15.6%, Modified: 17.4% Recovery after 205 Days: Initial: 15.9%, Modified: 17.7% Recovery after 210 Days: Initial: 16.2%, Modified: 18.0% Recovery after 215 Days: Initial: 16.4%, Modified: 18.3% Recovery after 220 Days: Initial: 16.7%, Modified: 18.6% Recovery after 225 Days: Initial: 17.0%, Modified: 18.9% Recovery after 230 Days: Initial: 17.2%, Modified: 19.2% Recovery after 235 Days: Initial: 17.5%, Modified: 19.5% Recovery after 240 Days: Initial: 17.7%, Modified: 19.7% Recovery after 245 Days: Initial: 18.0%, Modified: 20.0% Recovery after 250 Days: Initial: 18.2%, Modified: 20.3% Recovery after 255 Days: Initial: 18.4%, Modified: 20.6% Recovery after 260 Days: Initial: 18.7%, Modified: 20.8% Recovery after 265 Days: Initial: 18.9%, Modified: 21.1% Recovery after 270 Days: Initial: 19.2%, Modified: 21.4% Recovery after 275 Days: Initial: 19.4%, Modified: 21.6% Recovery after 280 Days: Initial: 19.6%, Modified: 21.9% Recovery after 285 Days: Initial: 19.9%, Modified: 22.2% Recovery after 290 Days: Initial: 20.1%, Modified: 22.4% Recovery after 295 Days: Initial: 20.3%, Modified: 22.7% Recovery after 300 Days: Initial: 20.5%, Modified: 22.9% Recovery after 305 Days: Initial: 20.7%, Modified: 23.2% Recovery after 310 Days: Initial: 21.0%, Modified: 23.4% Recovery after 315 Days: Initial: 21.2%, Modified: 23.6% Recovery after 320 Days: Initial: 21.4%, Modified: 23.9% Recovery after 325 Days: Initial: 21.6%, Modified: 24.1% Recovery after 330 Days: Initial: 21.8%, Modified: 24.4% Recovery after 335 Days: Initial: 22.0%, Modified: 24.6% Recovery after 340 Days: Initial: 22.2%, Modified: 24.8% Recovery after 345 Days: Initial: 22.4%, Modified: 25.0% Recovery after 350 Days: Initial: 22.6%, Modified: 25.3% Recovery after 355 Days: Initial: 22.8%, Modified: 25.5% Recovery after 360 Days: Initial: 23.0%, Modified: 25.7% Recovery after 1 Year: Initial: 23.2%, Modified: 25.9% Recovery after 1 Year, 5 Days: Initial: 23.4%, Modified: 26.2% Recovery after 1 Year, 10 Days: Initial: 23.6%, Modified: 26.4% Recovery after 1 Year, 15 Days: Initial: 23.8%, Modified: 26.6% Recovery after 1 Year, 20 Days: Initial: 24.0%, Modified: 26.8% Recovery after 1 Year, 25 Days: Initial: 24.2%, Modified: 27.0% Recovery after 1 Year, 30 Days: Initial: 24.4%, Modified: 27.2% Recovery after 1 Year, 35 Days: Initial: 24.6%, Modified: 27.4% Recovery after 1 Year, 40 Days: Initial: 24.8%, Modified: 27.6% Recovery after 1 Year, 45 Days: Initial: 25.0%, Modified: 27.8% Recovery after 1 Year, 50 Days: Initial: 25.1%, Modified: 28.0% Recovery after 1 Year, 55 Days: Initial: 25.3%, Modified: 28.2% Recovery after 1 Year, 60 Days: Initial: 25.5%, Modified: 28.4% Recovery after 1 Year, 65 Days: Initial: 25.7%, Modified: 28.6% Recovery after 1 Year, 70 Days: Initial: 25.9%, Modified: 28.8% Recovery after 1 Year, 75 Days: Initial: 26.0%, Modified: 29.0% Recovery after 1 Year, 80 Days: Initial: 26.2%, Modified: 29.2% Recovery after 1 Year, 85 Days: Initial: 26.4%, Modified: 29.4% Recovery after 1 Year, 90 Days: Initial: 26.6%, Modified: 29.6% Recovery after 1 Year, 95 Days: Initial: 26.7%, Modified: 29.8% Recovery after 1 Year, 100 Days: Initial: 26.9%, Modified: 30.0% Recovery after 1 Year, 105 Days: Initial: 27.1%, Modified: 30.2% Recovery after 1 Year, 110 Days: Initial: 27.2%, Modified: 30.4% Recovery after 1 Year, 115 Days: Initial: 27.4%, Modified: 30.5% Recovery after 1 Year, 120 Days: Initial: 27.6%, Modified: 30.7% Recovery after 1 Year, 125 Days: Initial: 27.7%, Modified: 30.9% Recovery after 1 Year, 130 Days: Initial: 27.9%, Modified: 31.1% Recovery after 1 Year, 135 Days: Initial: 28.1%, Modified: 31.3% Recovery after 1 Year, 140 Days: Initial: 28.2%, Modified: 31.4% Recovery after 1 Year, 145 Days: Initial: 28.4%, Modified: 31.6% Recovery after 1 Year, 150 Days: Initial: 28.5%, Modified: 31.8% Recovery after 1 Year, 155 Days: Initial: 28.7%, Modified: 32.0% Recovery after 1 Year, 160 Days: Initial: 28.9%, Modified: 32.2% Recovery after 1 Year, 165 Days: Initial: 29.0%, Modified: 32.3% Recovery after 1 Year, 170 Days: Initial: 29.2%, Modified: 32.5% Recovery after 1 Year, 175 Days: Initial: 29.3%, Modified: 32.7% Recovery after 1 Year, 180 Days: Initial: 29.5%, Modified: 32.8% Recovery after 1 Year, 185 Days: Initial: 29.6%, Modified: 33.0% Recovery after 1 Year, 190 Days: Initial: 29.8%, Modified: 33.2% Recovery after 1 Year, 195 Days: Initial: 29.9%, Modified: 33.3% Recovery after 1 Year, 200 Days: Initial: 30.1%, Modified: 33.5% Recovery after 1 Year, 205 Days: Initial: 30.2%, Modified: 33.7% Recovery after 1 Year, 210 Days: Initial: 30.4%, Modified: 33.8% Recovery after 1 Year, 215 Days: Initial: 30.5%, Modified: 34.0% Recovery after 1 Year, 220 Days: Initial: 30.7%, Modified: 34.2% Recovery after 1 Year, 225 Days: Initial: 30.8%, Modified: 34.3% Recovery after 1 Year, 230 Days: Initial: 31.0%, Modified: 34.5% Recovery after 1 Year, 235 Days: Initial: 31.1%, Modified: 34.6% Recovery after 1 Year, 240 Days: Initial: 31.3%, Modified: 34.8% Recovery after 1 Year, 245 Days: Initial: 31.4%, Modified: 35.0% Recovery after 1 Year, 250 Days: Initial: 31.5%, Modified: 35.1% Recovery after 1 Year, 255 Days: Initial: 31.7%, Modified: 35.3% Recovery after 1 Year, 260 Days: Initial: 31.8%, Modified: 35.4% Recovery after 1 Year, 265 Days: Initial: 32.0%, Modified: 35.6% Recovery after 1 Year, 270 Days: Initial: 32.1%, Modified: 35.7% Recovery after 1 Year, 275 Days: Initial: 32.3%, Modified: 35.9% Recovery after 1 Year, 280 Days: Initial: 32.4%, Modified: 36.0% Recovery after 1 Year, 285 Days: Initial: 32.5%, Modified: 36.2% Recovery after 1 Year, 290 Days: Initial: 32.7%, Modified: 36.3% Recovery after 1 Year, 295 Days: Initial: 32.8%, Modified: 36.5% Recovery after 1 Year, 300 Days: Initial: 32.9%, Modified: 36.6% Recovery after 1 Year, 305 Days: Initial: 33.1%, Modified: 36.8% Recovery after 1 Year, 310 Days: Initial: 33.2%, Modified: 36.9% Recovery after 1 Year, 315 Days: Initial: 33.3%, Modified: 37.1% Recovery after 1 Year, 320 Days: Initial: 33.5%, Modified: 37.2% Recovery after 1 Year, 325 Days: Initial: 33.6%, Modified: 37.4% Recovery after 1 Year, 330 Days: Initial: 33.7%, Modified: 37.5% Recovery after 1 Year, 335 Days: Initial: 33.9%, Modified: 37.6% Recovery after 1 Year, 340 Days: Initial: 34.0%, Modified: 37.8% Recovery after 1 Year, 345 Days: Initial: 34.1%, Modified: 37.9% Recovery after 1 Year, 350 Days: Initial: 34.2%, Modified: 38.1% Recovery after 1 Year, 355 Days: Initial: 34.4%, Modified: 38.2% Recovery after 1 Year, 360 Days: Initial: 34.5%, Modified: 38.4% Recovery after 2 Years: Initial: 34.6%, Modified: 38.5% Recovery after 2 Years, 5 Days: Initial: 34.8%, Modified: 38.6% Recovery after 2 Years, 10 Days: Initial: 34.9%, Modified: 38.8% Recovery after 2 Years, 15 Days: Initial: 35.0%, Modified: 38.9% Recovery after 2 Years, 20 Days: Initial: 35.1%, Modified: 39.0% Recovery after 2 Years, 25 Days: Initial: 35.3%, Modified: 39.2% Recovery after 2 Years, 30 Days: Initial: 35.4%, Modified: 39.3% Recovery after 2 Years, 35 Days: Initial: 35.5%, Modified: 39.4% Recovery after 2 Years, 40 Days: Initial: 35.6%, Modified: 39.6% Recovery after 2 Years, 45 Days: Initial: 35.7%, Modified: 39.7% Recovery after 2 Years, 50 Days: Initial: 35.9%, Modified: 39.8% Recovery after 2 Years, 55 Days: Initial: 36.0%, Modified: 40.0% Recovery after 2 Years, 60 Days: Initial: 36.1%, Modified: 40.1% Recovery after 2 Years, 65 Days: Initial: 36.2%, Modified: 40.2% Recovery after 2 Years, 70 Days: Initial: 36.3%, Modified: 40.4% Recovery after 2 Years, 75 Days: Initial: 36.5%, Modified: 40.5% Recovery after 2 Years, 80 Days: Initial: 36.6%, Modified: 40.6% Recovery after 2 Years, 85 Days: Initial: 36.7%, Modified: 40.8% Recovery after 2 Years, 90 Days: Initial: 36.8%, Modified: 40.9% Recovery after 2 Years, 95 Days: Initial: 36.9%, Modified: 41.0% Recovery after 2 Years, 100 Days: Initial: 37.0%, Modified: 41.1% Recovery after 2 Years, 105 Days: Initial: 37.2%, Modified: 41.3% Recovery after 2 Years, 110 Days: Initial: 37.3%, Modified: 41.4% Recovery after 2 Years, 115 Days: Initial: 37.4%, Modified: 41.5% Recovery after 2 Years, 120 Days: Initial: 37.5%, Modified: 41.6% Recovery after 2 Years, 125 Days: Initial: 37.6%, Modified: 41.8% Recovery after 2 Years, 130 Days: Initial: 37.7%, Modified: 41.9% Recovery after 2 Years, 135 Days: Initial: 37.8%, Modified: 42.0% Recovery after 2 Years, 140 Days: Initial: 38.0%, Modified: 42.1% Recovery after 2 Years, 145 Days: Initial: 38.1%, Modified: 42.3% Recovery after 2 Years, 150 Days: Initial: 38.2%, Modified: 42.4% Recovery after 2 Years, 155 Days: Initial: 38.3%, Modified: 42.5% Recovery after 2 Years, 160 Days: Initial: 38.4%, Modified: 42.6% Recovery after 2 Years, 165 Days: Initial: 38.5%, Modified: 42.7% Recovery after 2 Years, 170 Days: Initial: 38.6%, Modified: 42.9% Recovery after 2 Years, 175 Days: Initial: 38.7%, Modified: 43.0% Recovery after 2 Years, 180 Days: Initial: 38.8%, Modified: 43.1% Recovery after 2 Years, 185 Days: Initial: 38.9%, Modified: 43.2% Recovery after 2 Years, 190 Days: Initial: 39.1%, Modified: 43.3% Recovery after 2 Years, 195 Days: Initial: 39.2%, Modified: 43.5% Recovery after 2 Years, 200 Days: Initial: 39.3%, Modified: 43.6% Recovery after 2 Years, 205 Days: Initial: 39.4%, Modified: 43.7% Recovery after 2 Years, 210 Days: Initial: 39.5%, Modified: 43.8% Recovery after 2 Years, 215 Days: Initial: 39.6%, Modified: 43.9% Recovery after 2 Years, 220 Days: Initial: 39.7%, Modified: 44.0% Recovery after 2 Years, 225 Days: Initial: 39.8%, Modified: 44.1% Recovery after 2 Years, 230 Days: Initial: 39.9%, Modified: 44.3% Recovery after 2 Years, 235 Days: Initial: 40.0%, Modified: 44.4% Recovery after 2 Years, 240 Days: Initial: 40.1%, Modified: 44.5% Recovery after 2 Years, 245 Days: Initial: 40.2%, Modified: 44.6% Recovery after 2 Years, 250 Days: Initial: 40.3%, Modified: 44.7% Recovery after 2 Years, 255 Days: Initial: 40.4%, Modified: 44.8% Recovery after 2 Years, 260 Days: Initial: 40.5%, Modified: 44.9% Recovery after 2 Years, 265 Days: Initial: 40.6%, Modified: 45.0% Recovery after 2 Years, 270 Days: Initial: 40.7%, Modified: 45.2% Recovery after 2 Years, 275 Days: Initial: 40.8%, Modified: 45.3% Recovery after 2 Years, 280 Days: Initial: 40.9%, Modified: 45.4% Recovery after 2 Years, 285 Days: Initial: 41.0%, Modified: 45.5% Recovery after 2 Years, 290 Days: Initial: 41.1%, Modified: 45.6% Recovery after 2 Years, 295 Days: Initial: 41.2%, Modified: 45.7% Recovery after 2 Years, 300 Days: Initial: 41.3%, Modified: 45.8% Recovery after 2 Years, 305 Days: Initial: 41.4%, Modified: 45.9% Recovery after 2 Years, 310 Days: Initial: 41.5%, Modified: 46.0% Recovery after 2 Years, 315 Days: Initial: 41.6%, Modified: 46.1% Recovery after 2 Years, 320 Days: Initial: 41.7%, Modified: 46.2% Recovery after 2 Years, 325 Days: Initial: 41.8%, Modified: 46.3% Recovery after 2 Years, 330 Days: Initial: 41.9%, Modified: 46.5% Recovery after 2 Years, 335 Days: Initial: 42.0%, Modified: 46.6% Recovery after 2 Years, 340 Days: Initial: 42.1%, Modified: 46.7% Recovery after 2 Years, 345 Days: Initial: 42.2%, Modified: 46.8% Recovery after 2 Years, 350 Days: Initial: 42.3%, Modified: 46.9% Recovery after 2 Years, 355 Days: Initial: 42.4%, Modified: 47.0% Recovery after 2 Years, 360 Days: Initial: 42.5%, Modified: 47.1% Recovery after 3 Years: Initial: 42.6%, Modified: 47.2% Recovery after 3 Years, 5 Days: Initial: 42.7%, Modified: 47.3% Recovery after 3 Years, 10 Days: Initial: 42.8%, Modified: 47.4% Recovery after 3 Years, 15 Days: Initial: 42.9%, Modified: 47.5% Recovery after 3 Years, 20 Days: Initial: 43.0%, Modified: 47.6% Recovery after 3 Years, 25 Days: Initial: 43.0%, Modified: 47.7% Recovery after 3 Years, 30 Days: Initial: 43.1%, Modified: 47.8% Recovery after 3 Years, 35 Days: Initial: 43.2%, Modified: 47.9% Recovery after 3 Years, 40 Days: Initial: 43.3%, Modified: 48.0% Recovery after 3 Years, 45 Days: Initial: 43.4%, Modified: 48.1% Recovery after 3 Years, 50 Days: Initial: 43.5%, Modified: 48.2% Recovery after 3 Years, 55 Days: Initial: 43.6%, Modified: 48.3% Recovery after 3 Years, 60 Days: Initial: 43.7%, Modified: 48.4% Recovery after 3 Years, 65 Days: Initial: 43.8%, Modified: 48.5% Recovery after 3 Years, 70 Days: Initial: 43.9%, Modified: 48.6% Recovery after 3 Years, 75 Days: Initial: 44.0%, Modified: 48.7% Recovery after 3 Years, 80 Days: Initial: 44.1%, Modified: 48.8% Recovery after 3 Years, 85 Days: Initial: 44.1%, Modified: 48.9% Recovery after 3 Years, 90 Days: Initial: 44.2%, Modified: 49.0% Recovery after 3 Years, 95 Days: Initial: 44.3%, Modified: 49.1% Recovery after 3 Years, 100 Days: Initial: 44.4%, Modified: 49.2% Recovery after 3 Years, 105 Days: Initial: 44.5%, Modified: 49.3% Recovery after 3 Years, 110 Days: Initial: 44.6%, Modified: 49.4% Recovery after 3 Years, 115 Days: Initial: 44.7%, Modified: 49.5% Recovery after 3 Years, 120 Days: Initial: 44.8%, Modified: 49.6% Recovery after 3 Years, 125 Days: Initial: 44.8%, Modified: 49.7% Recovery after 3 Years, 130 Days: Initial: 44.9%, Modified: 49.8% Recovery after 3 Years, 135 Days: Initial: 45.0%, Modified: 49.8% Recovery after 3 Years, 140 Days: Initial: 45.1%, Modified: 49.9% Recovery after 3 Years, 145 Days: Initial: 45.2%, Modified: 50.0% Recovery after 3 Years, 150 Days: Initial: 45.3%, Modified: 50.1% Recovery after 3 Years, 155 Days: Initial: 45.4%, Modified: 50.2% Recovery after 3 Years, 160 Days: Initial: 45.4%, Modified: 50.3% Recovery after 3 Years, 165 Days: Initial: 45.5%, Modified: 50.4% Recovery after 3 Years, 170 Days: Initial: 45.6%, Modified: 50.5% Recovery after 3 Years, 175 Days: Initial: 45.7%, Modified: 50.6% Recovery after 3 Years, 180 Days: Initial: 45.8%, Modified: 50.7% Recovery after 3 Years, 185 Days: Initial: 45.9%, Modified: 50.8% Recovery after 3 Years, 190 Days: Initial: 46.0%, Modified: 50.9% Recovery after 3 Years, 195 Days: Initial: 46.0%, Modified: 51.0% Recovery after 3 Years, 200 Days: Initial: 46.1%, Modified: 51.0% Recovery after 3 Years, 205 Days: Initial: 46.2%, Modified: 51.1% Recovery after 3 Years, 210 Days: Initial: 46.3%, Modified: 51.2% Recovery after 3 Years, 215 Days: Initial: 46.4%, Modified: 51.3% Recovery after 3 Years, 220 Days: Initial: 46.5%, Modified: 51.4% Recovery after 3 Years, 225 Days: Initial: 46.5%, Modified: 51.5% Recovery after 3 Years, 230 Days: Initial: 46.6%, Modified: 51.6% Recovery after 3 Years, 235 Days: Initial: 46.7%, Modified: 51.7% Recovery after 3 Years, 240 Days: Initial: 46.8%, Modified: 51.8% Recovery after 3 Years, 245 Days: Initial: 46.9%, Modified: 51.8% Recovery after 3 Years, 250 Days: Initial: 46.9%, Modified: 51.9% Recovery after 3 Years, 255 Days: Initial: 47.0%, Modified: 52.0% Recovery after 3 Years, 260 Days: Initial: 47.1%, Modified: 52.1% Recovery after 3 Years, 265 Days: Initial: 47.2%, Modified: 52.2% Recovery after 3 Years, 270 Days: Initial: 47.3%, Modified: 52.3% Recovery after 3 Years, 275 Days: Initial: 47.3%, Modified: 52.4% Recovery after 3 Years, 280 Days: Initial: 47.4%, Modified: 52.5% Recovery after 3 Years, 285 Days: Initial: 47.5%, Modified: 52.5% Recovery after 3 Years, 290 Days: Initial: 47.6%, Modified: 52.6% Recovery after 3 Years, 295 Days: Initial: 47.7%, Modified: 52.7% Recovery after 3 Years, 300 Days: Initial: 47.7%, Modified: 52.8% Recovery after 3 Years, 305 Days: Initial: 47.8%, Modified: 52.9% Recovery after 3 Years, 310 Days: Initial: 47.9%, Modified: 53.0% Recovery after 3 Years, 315 Days: Initial: 48.0%, Modified: 53.1% Recovery after 3 Years, 320 Days: Initial: 48.0%, Modified: 53.1% Recovery after 3 Years, 325 Days: Initial: 48.1%, Modified: 53.2% Recovery after 3 Years, 330 Days: Initial: 48.2%, Modified: 53.3% Recovery after 3 Years, 335 Days: Initial: 48.3%, Modified: 53.4% Recovery after 3 Years, 340 Days: Initial: 48.4%, Modified: 53.5% Recovery after 3 Years, 345 Days: Initial: 48.4%, Modified: 53.6% Recovery after 3 Years, 350 Days: Initial: 48.5%, Modified: 53.6% Recovery after 3 Years, 355 Days: Initial: 48.6%, Modified: 53.7% Recovery after 3 Years, 360 Days: Initial: 48.7%, Modified: 53.8% Recovery after 4 Years: Initial: 48.7%, Modified: 53.9% Recovery after 4 Years, 5 Days: Initial: 48.8%, Modified: 54.0% Recovery after 4 Years, 10 Days: Initial: 48.9%, Modified: 54.1% Recovery after 4 Years, 15 Days: Initial: 49.0%, Modified: 54.1% Recovery after 4 Years, 20 Days: Initial: 49.0%, Modified: 54.2% Recovery after 4 Years, 25 Days: Initial: 49.1%, Modified: 54.3% Recovery after 4 Years, 30 Days: Initial: 49.2%, Modified: 54.4% Recovery after 4 Years, 35 Days: Initial: 49.3%, Modified: 54.5% Recovery after 4 Years, 40 Days: Initial: 49.3%, Modified: 54.5% Recovery after 4 Years, 45 Days: Initial: 49.4%, Modified: 54.6% Recovery after 4 Years, 50 Days: Initial: 49.5%, Modified: 54.7% Recovery after 4 Years, 55 Days: Initial: 49.6%, Modified: 54.8% Recovery after 4 Years, 60 Days: Initial: 49.6%, Modified: 54.9% Recovery after 4 Years, 65 Days: Initial: 49.7%, Modified: 54.9% Recovery after 4 Years, 70 Days: Initial: 49.8%, Modified: 55.0% Recovery after 4 Years, 75 Days: Initial: 49.8%, Modified: 55.1% Recovery after 4 Years, 80 Days: Initial: 49.9%, Modified: 55.2% Recovery after 4 Years, 85 Days: Initial: 50.0%, Modified: 55.3% Recovery after 4 Years, 90 Days: Initial: 50.1%, Modified: 55.3% Recovery after 4 Years, 95 Days: Initial: 50.1%, Modified: 55.4% Recovery after 4 Years, 100 Days: Initial: 50.2%, Modified: 55.5% Recovery after 4 Years, 105 Days: Initial: 50.3%, Modified: 55.6% Recovery after 4 Years, 110 Days: Initial: 50.3%, Modified: 55.6% Recovery after 4 Years, 115 Days: Initial: 50.4%, Modified: 55.7% Recovery after 4 Years, 120 Days: Initial: 50.5%, Modified: 55.8% Recovery after 4 Years, 125 Days: Initial: 50.6%, Modified: 55.9% Recovery after 4 Years, 130 Days: Initial: 50.6%, Modified: 55.9% Recovery after 4 Years, 135 Days: Initial: 50.7%, Modified: 56.0% Recovery after 4 Years, 140 Days: Initial: 50.8%, Modified: 56.1% Recovery after 4 Years, 145 Days: Initial: 50.8%, Modified: 56.2% Recovery after 4 Years, 150 Days: Initial: 50.9%, Modified: 56.3% Recovery after 4 Years, 155 Days: Initial: 51.0%, Modified: 56.3% Recovery after 4 Years, 160 Days: Initial: 51.1%, Modified: 56.4% Recovery after 4 Years, 165 Days: Initial: 51.1%, Modified: 56.5% Recovery after 4 Years, 170 Days: Initial: 51.2%, Modified: 56.6% Recovery after 4 Years, 175 Days: Initial: 51.3%, Modified: 56.6% Recovery after 4 Years, 180 Days: Initial: 51.3%, Modified: 56.7% Recovery after 4 Years, 185 Days: Initial: 51.4%, Modified: 56.8% Recovery after 4 Years, 190 Days: Initial: 51.5%, Modified: 56.9% Recovery after 4 Years, 195 Days: Initial: 51.5%, Modified: 56.9% Recovery after 4 Years, 200 Days: Initial: 51.6%, Modified: 57.0% Recovery after 4 Years, 205 Days: Initial: 51.7%, Modified: 57.1% Recovery after 4 Years, 210 Days: Initial: 51.7%, Modified: 57.1% Recovery after 4 Years, 215 Days: Initial: 51.8%, Modified: 57.2% Recovery after 4 Years, 220 Days: Initial: 51.9%, Modified: 57.3% Recovery after 4 Years, 225 Days: Initial: 51.9%, Modified: 57.4% Recovery after 4 Years, 230 Days: Initial: 52.0%, Modified: 57.4% Recovery after 4 Years, 235 Days: Initial: 52.1%, Modified: 57.5% Recovery after 4 Years, 240 Days: Initial: 52.1%, Modified: 57.6% Recovery after 4 Years, 245 Days: Initial: 52.2%, Modified: 57.7% Recovery after 4 Years, 250 Days: Initial: 52.3%, Modified: 57.7% Recovery after 4 Years, 255 Days: Initial: 52.3%, Modified: 57.8% Recovery after 4 Years, 260 Days: Initial: 52.4%, Modified: 57.9% Recovery after 4 Years, 265 Days: Initial: 52.5%, Modified: 57.9% Recovery after 4 Years, 270 Days: Initial: 52.5%, Modified: 58.0% Recovery after 4 Years, 275 Days: Initial: 52.6%, Modified: 58.1% Recovery after 4 Years, 280 Days: Initial: 52.7%, Modified: 58.2% Recovery after 4 Years, 285 Days: Initial: 52.7%, Modified: 58.2% Recovery after 4 Years, 290 Days: Initial: 52.8%, Modified: 58.3% Recovery after 4 Years, 295 Days: Initial: 52.9%, Modified: 58.4% Recovery after 4 Years, 300 Days: Initial: 52.9%, Modified: 58.4% Recovery after 4 Years, 305 Days: Initial: 53.0%, Modified: 58.5% Recovery after 4 Years, 310 Days: Initial: 53.1%, Modified: 58.6% Recovery after 4 Years, 315 Days: Initial: 53.1%, Modified: 58.6% Recovery after 4 Years, 320 Days: Initial: 53.2%, Modified: 58.7% Recovery after 4 Years, 325 Days: Initial: 53.2%, Modified: 58.8% Recovery after 4 Years, 330 Days: Initial: 53.3%, Modified: 58.9% Recovery after 4 Years, 335 Days: Initial: 53.4%, Modified: 58.9% Recovery after 4 Years, 340 Days: Initial: 53.4%, Modified: 59.0% Recovery after 4 Years, 345 Days: Initial: 53.5%, Modified: 59.1% Recovery after 4 Years, 350 Days: Initial: 53.6%, Modified: 59.1% Recovery after 4 Years, 355 Days: Initial: 53.6%, Modified: 59.2% Recovery after 4 Years, 360 Days: Initial: 53.7%, Modified: 59.3% Recovery after 5 Years: Initial: 53.8%, Modified: 59.3%


Plot the recovery at the half-way point
If we simulate long enough, almost all oil will certainly be recovered. We plot the half-way point after 2.5 years to show the oil saturation along with the well positions.
clf ind = round(2.5*year/dt); nr = numel(states_initial); for i = 1:nr initial = states_initial{i}; improved = states_improved{i}; sa = initial(ind).s(:,2); sb = improved(ind).s(:,2); subplot(2, nr, 1 + (i-1)*nr) plotCellData(G, sa) plotWellsPrint(G, W, D) view(0, 89); title(sprintf('Recovery baseline, %s: %2.1f%%', fluids{i}.name, 100*recov(initial(ind)))) axis tight off colorbar caxis([0, 1]) subplot(2, nr, 2 + (i-1)*nr) plotCellData(G, sb) plotWellsPrint(G, W_opt, D) view(0, 89); title(sprintf('Recovery improved, %s: %2.1f%%', fluids{i}.name, 100*recov(improved(ind)))) colorbar caxis([0, 1]) axis tight off end

Plot both problems in the same plot
We plot the oil recovery for both fluid problems simultanously, showing that the optimized placement improves recovery in either case. The effect on oil recovery from viscosity differences is also shown to be significant.
clf t = cumsum(ones(numel(states_initial{1}), 1)*dt)/year; y = [states_initial{1}, states_initial{2}, states_improved{1}, states_improved{2}]; plot(t, 100*arrayfun(recov, y), 'LineWidth', 2) grid on xlabel('Years') ylabel('Oil recovery (%)') legend({'Five spot, unit fluids', 'Five spot, oil/water', 'Optimized wells, unit fluids', 'Optimized wells, oil/water',}, 'location', 'southeast')
