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mud_and_sand.m
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mud_speed = 1480;
mud_density = 1.5; % relative to water
sand_speed = 1750;
sand_density = 1.7; % relative to water
water_speed = 1500;
water_density = 1; % reference point
%%
% mud over sand base
close all;
c = [water_speed, mud_speed, sand_speed];
rho = [water_density, mud_density, sand_density];
h_arr = 2:20:62; % vary this parameter
angle_arr = 0:.01:pi/2;
freq_arr = 5:10:500;
R_arr = zeros(length(h_arr), length(angle_arr), length(freq_arr));
for freq_index = 1:length(freq_arr)
for angle_index = 1:length(angle_arr)
for h_index = 1:length(h_arr)
R_array = rayleigh_strat(rho,c,h_arr(h_index),angle_arr(angle_index),freq_arr(freq_index));
R_arr(h_index, angle_index, freq_index) = R_array(1);
end
end
end
[X,Y] = meshgrid(freq_arr, angle_arr);
% figure(18); clf;
for ind = 1:length(h_arr)
figure(ind)
%surf(X, Y * 180/pi, abs(squeeze(R_arr(ind,:,:))));
imagesc([0 90], [5 500], abs(squeeze(R_arr(ind,:,:)))');
title("|R| for mud h = " + h_arr(ind) + " over sand")
ylabel('Frequency')
xlabel('Angle')
% saveas(gcf, "mud_sand_" + h_arr(ind) + ".png")
end
%
% surf(X, Y * 180/pi, abs(squeeze(R_arr(2,:,:))))
%
% title('|R| for mud-sand')
% xlabel('Frequency')
% ylabel('Angle')
% now fix some angle and
%%
% sand-mud-sand base
close all;
n_1 = water_speed/sand_speed;
m_1 = sand_density/water_density;
brewster_angle = asin(sqrt((m_1^2 - n_1^2)/(m_1^2 - 1)));
c = [water_speed, sand_speed, mud_speed, sand_speed];
rho = [water_density, sand_density, mud_density, sand_density];
h = [600,3]; % vary this parameter
mud_thickness = 5; % also vary this parameter
h_arr = ones(5, 2) * mud_thickness;
max_sand_thickness = 500;
for ind = 1:length(h_arr)
h_arr(ind,1) = 1 + (ind-1) * max_sand_thickness/length(h_arr);
end
angle_arr = 0:.02:pi/2;
freq_arr = 50:10:500;
R_arr = zeros(length(angle_arr), length(freq_arr),length(h_arr));
for freq_index = 1:length(freq_arr)
for angle_index = 1:length(angle_arr)
for h_index = 1:length(h_arr)
R_array = rayleigh_strat(rho,c,h_arr(h_index, :),angle_arr(angle_index),freq_arr(freq_index));
R_arr(angle_index, freq_index, h_index) = R_array(1);
end
end
end
for h_index = 1:length(h_arr)
%[X,Y] = meshgrid(freq_arr, angle_arr);
figure(h_index); clf;
%surf(X, Y * 180/pi, abs(R_arr(:,:,h_index)));
imagesc([0 90], [5 500], abs(R_arr(:,:,h_index))');
title("|R| for sand-mud-sand, top sand h = " + h_arr(h_index) +", mud h = " + mud_thickness)
ylabel("Frequency")
xlabel("Angle")
colorbar
saveas(gcf, "sand_mud_" + h_arr(h_index,1) + "sand.png")
end
%
% [X,Y] = meshgrid(freq_arr, angle_arr);
% figure(19); clf;
%
% surf(X, Y * 180/pi, abs(R_arr))
%
% title('|R| for sand-mud-sand')
% xlabel('Frequency')
% ylabel('Angle')
%
% figure(20); clf;
%
% surf(X, Y * 180/pi, angle(R_arr))
%
% title("Phase for sand-mud-sand")
% xlabel("frequency")
% ylabel("Angle")
%%
%water-sand-mud
mud_speed = 1480;
mud_density = 1.5; % relative to water
sand_speed = 1750;
sand_density = 1.7; % relative to water
water_speed = 1500;
water_density = 1; % reference point
n_1 = water_speed/sand_speed;
m_1 = sand_density/water_density;
brewster_angle = asin(sqrt((m_1^2 - n_1^2)/(m_1^2 - 1)));
% mud over sand base
c = [water_speed, sand_speed, mud_speed];
rho = [water_density, sand_density, mud_density];
h = 20; % vary this parameter
angle_arr = 0:.01:pi/2;
freq_arr = 50:10:500;
R_arr = zeros(length(angle_arr), length(freq_arr));
for freq_index = 1:length(freq_arr)
for angle_index = 1:length(angle_arr)
R_array = rayleigh_strat(rho,c,h,angle_arr(angle_index),freq_arr(freq_index));
R_arr(angle_index, freq_index) = R_array(1);
end
end
[X,Y] = meshgrid(freq_arr, angle_arr);
figure(21); clf;
surf(X, Y * 180/pi, abs(R_arr))
title('|R| for sand-mud')
xlabel('Frequency')
ylabel('Angle')
figure(22); clf;
surf(X, Y * 180/pi, angle(R_arr))
title("Phase for sand-mud")
xlabel("frequency")
ylabel("Angle")
%%
mud_speed = 1480;
mud_density = 1.5; % relative to water
sand_speed = 1750;
sand_density = 1.7; % relative to water
water_speed = 1500;
water_density = 1; % reference point
% mud over sand base
c = [water_speed, sand_speed, water_speed];
rho = [water_density, sand_density, water_density];
h_arr = 5:5:20; % vary this parameter
angle_arr = 0:.01:pi/2;
freq_arr = 50:10:500;
R_arr = zeros(length(h_arr), length(angle_arr), length(freq_arr));
for freq_index = 1:length(freq_arr)
for angle_index = 1:length(angle_arr)
for h_index = 1:length(h_arr)
R_array = rayleigh_strat(rho,c,h_arr(h_index),angle_arr(angle_index),freq_arr(freq_index));
R_arr(h_index, angle_index, freq_index) = R_array(1);
end
end
end
[X,Y] = meshgrid(freq_arr, angle_arr);
% figure(18); clf;
for ind = 1:length(h_arr)
figure(ind)
surf(X, Y * 180/pi, abs(squeeze(R_arr(ind,:,:))));
title(h_arr(ind))
xlabel('Frequency')
ylabel('Angle')
end
%surf(X, Y * 180/pi, abs(squeeze(R_arr(2,:,:))))