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plot_best_fitting.m
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plot_best_fitting.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% INPUT SECTION
%select plots to make (true/false)
%map-view plots of observed and model strain rates
plot_max_shear = true;
plot_dilatation = true;
%plot slip deficit on slip patches
plot_slip_deficit = true;
%plot rake on slip patches
plot_rake = true;
%plot depth-averaged slip rates along fault traces
plot_depth_averaged = true;
%plot recurrence times and times since last earthquake
plot_earthquake_timing = false;
%plot distributed moment sources
plot_moment = true;
%scale the size of strain rate axes for plotting
vecscale = 1;
%scale the size of moment rate axes for plotting
vecscale_mom = 1;
%END INPUT
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
if plot_max_shear
%plot maximum shear strain rate
f=figure;
subplot(211)
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(max_shear,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,max_shear,'fill')
end
colormap(jet)
colorbar
set(gca,'colorscale','log')
caxis([1e-3 1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('observed mean maximum shear strain rate')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
subplot(212)
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(max_shear_bs,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,max_shear_total,'fill')
end
colormap(jet)
colorbar
set(gca,'colorscale','log')
caxis([1e-3 1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('model mean maximum shear strain rate (total)')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
f=figure;
subplot(211)
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(max_shear_offfault,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,max_shear_bs,'fill')
end
colormap(jet)
colorbar
set(gca,'colorscale','log')
caxis([1e-3 1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('max shear strain rate due to backslip')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
if include_moment
subplot(212)
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(max_shear_offfault,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,max_shear_bf,'fill')
end
colormap(jet)
colorbar
set(gca,'colorscale','log')
caxis([1e-3 1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('max shear strain rate due to moment sources')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
end %if include_moment
f=figure;
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(max_shear_offfault,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,max_shear_residual,'fill')
end
colormap(jet)
colorbar
set(gca,'colorscale','log')
caxis([1e-3 1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('residual max shear strain rate ')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
end
if plot_dilatation
load cmap
f=figure;
subplot(211)
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(dilatation,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,dilatation,'fill')
end
colormap(cmap)
colorbar
caxis([-1e-1 1e-1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('observed dilatation rate')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
subplot(212)
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(dilatation_total,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,dilatation_total,'fill')
end
colormap(cmap)
colorbar
caxis([-1e-1 1e-1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('model dilatation rate (total)')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
f=figure;
subplot(211)
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(dilatation_bs,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,dilatation_bs,'fill')
end
colormap(cmap)
colorbar
caxis([-1e-1 1e-1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('dilatation rate due to backslip')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
subplot(212)
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(dilatation_bf,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,dilatation_bf,'fill')
end
colormap(cmap)
colorbar
caxis([-1e-1 1e-1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('dilatation rate due to moment sources')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
f=figure;
if regular_grid
X = [obs_llh(:,1)-dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)+dl/2 obs_llh(:,1)-dl/2];
Y = [obs_llh(:,2)-dl/2 obs_llh(:,2)-dl/2 obs_llh(:,2)+dl/2 obs_llh(:,2)+dl/2];
patch(X',Y',repmat(dilatation_residual,1,4)','edgecolor','none');
else
scatter(obs_llh(:,1),obs_llh(:,2),80,dilatation_residual,'fill')
end
colormap(cmap)
colorbar
caxis([-1e-1 1e-1])
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
title('residual dilatation rate')
axis equal; axis tight
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
end
if plot_slip_deficit
%plot slip deficit rate
f=figure;
plotpatchslip3D_noedge(pm_top,bs_top*1000,1)
hold on
plotpatchslip3D_noedge(pm,bs_bot*1000,1)
title('slip deficit rates, mm/yr')
axis equal; axis tight
view(-35,35)
set(gca,'fontsize',15)
f.Position = [154 68 735 758];
%plot slip deficit rate
f=figure;
plotpatchslip3D_noedge(pm_top,bs_top*1000,1)
hold on
plotpatchslip3D_noedge(pm,bs_bot*1000,1)
title('slip deficit rates, mm/yr')
axis equal; axis tight
view(-35,35)
set(gca,'colorscale','log')
set(gca,'fontsize',15)
f.Position = [154 68 735 758];
end
if plot_rake
%plot rake
f=figure;
plotpatchslip3D_noedge(pm_top,rake_top,1)
hold on
plotpatchslip3D_noedge(pm,rake_bot,1)
title('rake, degrees')
axis equal; axis tight
view(-35,35)
set(gca,'fontsize',15)
colormap(pmkmp(128,'IsoAZ'))
caxis([-180 180])
f.Position = [154 68 735 758];
%plot preferred (prior) rake
f=figure;
plotpatchslip3D_noedge(pm_top,rake_top_patches,1)
hold on
plotpatchslip3D_noedge(pm,rake_patches,1)
title('pior (preferred) rake, degrees')
axis equal; axis tight
view(-35,35)
set(gca,'fontsize',15)
colormap(pmkmp(128,'IsoAZ'))
caxis([-180 180])
f.Position = [154 68 735 758];
end
if plot_depth_averaged
if variable_rake
bs = sqrt(mhat_rake.^2 + mhat_perp.^2);
else
bs = mhat_rake;
end
%plot depth-averaged slip deficit rate
top_row_s = bs(1:end/nve);
bottom = bs(1+end/nve:end);
for k=1:nve-1
bottom_rows_s(:,k) = bottom(k:nve-1:end,:);
end
depth_averaged_s = 1/nve*(top_row_s + sum(bottom_rows_s,2));
a = 90-pm_top(:,5);
pm_ends = [pm_top(:,6)+pm_top(:,1).*cos(a*pi/180)/2 pm_top(:,7)+pm_top(:,1).*sin(a*pi/180)/2 pm_top(:,6)-pm_top(:,1).*cos(a*pi/180)/2 pm_top(:,7)-pm_top(:,1).*sin(a*pi/180)/2];
f=figure;
hold on
for k=1:size(pm_ends,1)
cline([pm_ends(k,1) pm_ends(k,3)],[pm_ends(k,2) pm_ends(k,4)],[depth_averaged_s(k) depth_averaged_s(k)]*1000) %convert to mm/yr
end
colormap(jet)
set(gca,'ColorScale','log')
caxis([0.1 40])
c=colorbar;
axis equal
axis tight
c.FontSize=15;
f.Position = [154 68 735 758];
title('depth-averaged slip deficit rates (mm/yr)','fontsize',15)
f=figure;
hold on
for k=1:size(pm_ends,1)
cline([pm_ends(k,1) pm_ends(k,3)],[pm_ends(k,2) pm_ends(k,4)],[depth_averaged_s(k) depth_averaged_s(k)]*1000) %convert to mm/yr
end
colormap(jet)
caxis([0 40])
c=colorbar;
axis equal
axis tight
c.FontSize=15;
f.Position = [154 68 735 758];
title('depth-averaged slip deficit rates (mm/yr)','fontsize',15)
end
if plot_earthquake_timing
f=figure;
plotpatchslip3D_noedge(pm_top,Ts_top,1)
hold on
plotpatchslip3D_noedge(pm,Ts,1)
title('earthquake recurrence time, yr')
axis equal; axis tight
view(-20,60)
f.Position = [154 68 735 758];
f=figure;
plotpatchslip3D_noedge(pm_top,teqs_top,1)
hold on
plotpatchslip3D_noedge(pm,teqs,1)
title('time since last earthquake, yr')
axis equal; axis tight
view(-20,60)
f.Position = [154 68 735 758];
end
%plot principal directions
vecscale = vecscale*10^6; %for plotting
%total
clear minVecs maxVecs minvals maxvals
for j=1:size(Exx_total,1)
E = [Exx_total(j) Exy_total(j); Exy_total(j) Eyy_total(j)];
[vec,val] = eig(E);
minVecs(:,j) = vec(:,1);
maxVecs(:,j) = vec(:,2);
minvals(j) = val(1,1);
maxvals(j) = val(2,2);
end
style_total = -(minvals+maxvals)./(abs(minvals)+abs(maxvals));
f=figure;
hold on
%plot model directions
for k=1:length(Exx_total)
%plot the larger magnitude principal direction
if abs(minvals(k))>abs(maxvals(k))
bigvals = minvals(k);
smallvals = maxvals(k);
bigVecs = minVecs(:,k);
smallVecs = maxVecs(:,k);
else
bigvals = maxvals(k);
smallvals = minvals(k);
bigVecs = maxVecs(:,k);
smallVecs = minVecs(:,k);
end
angles(k) = atan(bigVecs(2,:)./bigVecs(1,:))*180/pi;
%plot larger principal direction
vx = [obs_llh(k,1)-bigVecs(1)*bigvals*vecscale obs_llh(k,1)+bigVecs(1)*bigvals*vecscale];
vy = [obs_llh(k,2)-bigVecs(2)*bigvals*vecscale obs_llh(k,2)+bigVecs(2)*bigvals*vecscale];
if bigvals<0
plot(vx,vy,'r','linewidth',1)
else
plot(vx,vy,'b','linewidth',1)
end
%plot smaller principal direction
vx = [obs_llh(k,1)-smallVecs(1)*vecscale*smallvals obs_llh(k,1)+smallVecs(1)*vecscale*smallvals];
vy = [obs_llh(k,2)-smallVecs(2)*vecscale*smallvals obs_llh(k,2)+smallVecs(2)*vecscale*smallvals];
if smallvals<0
plot(vx,vy,'r','linewidth',1)
else
plot(vx,vy,'b','linewidth',1)
end
end
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
set(gca,'fontsize',15)
%plot scale
X = xlim;
Y = ylim;
dY = 0.1*(Y(2)-Y(1));
scale_pos = [X(1)+0.1*(X(2)-X(1)) Y(1)-dY];
scaleval=10^-7;
vx = [scale_pos(1)-vecscale*scaleval scale_pos(1)+vecscale*scaleval];
vy = [scale_pos(2) scale_pos(2)];
plot(vx,vy,'r','linewidth',1)
plot(vx,vy-dY/2,'b','linewidth',1)
text(scale_pos(1)-vecscale*scaleval,scale_pos(2)+dY/2,['Scale, ' num2str(scaleval) ' strain/yr'])
text(scale_pos(1)+2*vecscale*scaleval,scale_pos(2),' Contractional')
text(scale_pos(1)+2*vecscale*scaleval,scale_pos(2)-dY/2,' Extensional')
set(gca,'fontsize',15)
axis equal
axis tight
X = xlim; Y = ylim;
dX = 0.05*(Y(2)-Y(1)); dY = 0.05*(Y(2)-Y(1));
xlim([X(1)-dX X(2)])
ylim([Y(1)-dY Y(2)])
f.Position = [154 68 735 758];
title('Principal directions -- total strain rate')
%backslip
clear minVecs maxVecs minvals maxvals
for j=1:size(Exx_bs,1)
E = [Exx_bs(j) Exy_bs(j); Exy_bs(j) Eyy_bs(j)];
[vec,val] = eig(E);
minVecs(:,j) = vec(:,1);
maxVecs(:,j) = vec(:,2);
minvals(j) = val(1,1);
maxvals(j) = val(2,2);
end
style_bs = -(minvals+maxvals)./(abs(minvals)+abs(maxvals));
f=figure;
hold on
%plot model directions
for k=1:length(Exx_bs)
%plot the larger magnitude principal direction
if abs(minvals(k))>abs(maxvals(k))
bigvals = minvals(k);
smallvals = maxvals(k);
bigVecs = minVecs(:,k);
smallVecs = maxVecs(:,k);
else
bigvals = maxvals(k);
smallvals = minvals(k);
bigVecs = maxVecs(:,k);
smallVecs = minVecs(:,k);
end
angles(k) = atan(bigVecs(2,:)./bigVecs(1,:))*180/pi;
%plot larger principal direction
vx = [obs_llh(k,1)-bigVecs(1)*bigvals*vecscale obs_llh(k,1)+bigVecs(1)*bigvals*vecscale];
vy = [obs_llh(k,2)-bigVecs(2)*bigvals*vecscale obs_llh(k,2)+bigVecs(2)*bigvals*vecscale];
if bigvals<0
plot(vx,vy,'r','linewidth',1)
else
plot(vx,vy,'b','linewidth',1)
end
%plot smaller principal direction
vx = [obs_llh(k,1)-smallVecs(1)*vecscale*smallvals obs_llh(k,1)+smallVecs(1)*vecscale*smallvals];
vy = [obs_llh(k,2)-smallVecs(2)*vecscale*smallvals obs_llh(k,2)+smallVecs(2)*vecscale*smallvals];
if smallvals<0
plot(vx,vy,'r','linewidth',1)
else
plot(vx,vy,'b','linewidth',1)
end
end
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
set(gca,'fontsize',15)
%plot scale
X = xlim;
Y = ylim;
dY = 0.1*(Y(2)-Y(1));
scale_pos = [X(1)+0.1*(X(2)-X(1)) Y(1)-dY];
scaleval=10^-7;
vx = [scale_pos(1)-vecscale*scaleval scale_pos(1)+vecscale*scaleval];
vy = [scale_pos(2) scale_pos(2)];
plot(vx,vy,'r','linewidth',1)
plot(vx,vy-dY/2,'b','linewidth',1)
text(scale_pos(1)-vecscale*scaleval,scale_pos(2)+dY/2,['Scale, ' num2str(scaleval) ' strain/yr'])
text(scale_pos(1)+2*vecscale*scaleval,scale_pos(2),' Contractional')
text(scale_pos(1)+2*vecscale*scaleval,scale_pos(2)-dY/2,' Extensional')
set(gca,'fontsize',15)
axis equal
axis tight
X = xlim; Y = ylim;
dX = 0.05*(Y(2)-Y(1)); dY = 0.05*(Y(2)-Y(1));
xlim([X(1)-dX X(2)])
ylim([Y(1)-dY Y(2)])
f.Position = [154 68 735 758];
title('Principal strain rates -- backslip contribution')
%body force
clear minVecs maxVecs minvals maxvals
for j=1:size(Exx_bf,1)
E = [Exx_bf(j) Exy_bf(j); Exy_bf(j) Eyy_bf(j)];
[vec,val] = eig(E);
minVecs(:,j) = vec(:,1);
maxVecs(:,j) = vec(:,2);
minvals(j) = val(1,1);
maxvals(j) = val(2,2);
end
style_bf = -(minvals+maxvals)./(abs(minvals)+abs(maxvals));
f=figure;
hold on
%plot model directions
for k=1:length(Exx_bf)
%plot the larger magnitude principal direction
if abs(minvals(k))>abs(maxvals(k))
bigvals = minvals(k);
smallvals = maxvals(k);
bigVecs = minVecs(:,k);
smallVecs = maxVecs(:,k);
else
bigvals = maxvals(k);
smallvals = minvals(k);
bigVecs = maxVecs(:,k);
smallVecs = minVecs(:,k);
end
angles(k) = atan(bigVecs(2,:)./bigVecs(1,:))*180/pi;
%plot larger principal direction
vx = [obs_llh(k,1)-bigVecs(1)*bigvals*vecscale obs_llh(k,1)+bigVecs(1)*bigvals*vecscale];
vy = [obs_llh(k,2)-bigVecs(2)*bigvals*vecscale obs_llh(k,2)+bigVecs(2)*bigvals*vecscale];
if bigvals<0
plot(vx,vy,'r','linewidth',1)
else
plot(vx,vy,'b','linewidth',1)
end
%plot smaller principal direction
vx = [obs_llh(k,1)-smallVecs(1)*vecscale*smallvals obs_llh(k,1)+smallVecs(1)*vecscale*smallvals];
vy = [obs_llh(k,2)-smallVecs(2)*vecscale*smallvals obs_llh(k,2)+smallVecs(2)*vecscale*smallvals];
if smallvals<0
plot(vx,vy,'r','linewidth',1)
else
plot(vx,vy,'b','linewidth',1)
end
end
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
%plot scale
X = xlim;
Y = ylim;
dY = 0.1*(Y(2)-Y(1));
scale_pos = [X(1)+0.1*(X(2)-X(1)) Y(1)-dY];
scaleval=10^-7;
vx = [scale_pos(1)-vecscale*scaleval scale_pos(1)+vecscale*scaleval];
vy = [scale_pos(2) scale_pos(2)];
plot(vx,vy,'r','linewidth',1)
plot(vx,vy-dY/2,'b','linewidth',1)
text(scale_pos(1)-vecscale*scaleval,scale_pos(2)+dY/2,['Scale, ' num2str(scaleval) ' strain/yr'])
text(scale_pos(1)+2*vecscale*scaleval,scale_pos(2),' Contractional')
text(scale_pos(1)+2*vecscale*scaleval,scale_pos(2)-dY/2,' Extensional')
set(gca,'fontsize',15)
axis equal
axis tight
X = xlim; Y = ylim;
dX = 0.05*(Y(2)-Y(1)); dY = 0.05*(Y(2)-Y(1));
xlim([X(1)-dX X(2)])
ylim([Y(1)-dY Y(2)])
f.Position = [154 68 735 758];
set(gca,'fontsize',15)
title('Principal strain rates -- distributed moment source contribution')
f=figure;
scatter(obs_llh(:,1),obs_llh(:,2),30,style_total,'fill')
colormap(jet)
colorbar
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
set(gca,'fontsize',15)
axis equal; axis tight
f.Position = [154 68 735 758];
title('Strain Rate Style -- total model,red=reverse, green=ss, blue=normal')
f=figure;
scatter(obs_llh(:,1),obs_llh(:,2),30,style_bs,'fill')
colormap(jet)
colorbar
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
set(gca,'fontsize',15)
axis equal; axis tight
f.Position = [154 68 735 758];
title('Strain Rate Style -- backslip,red=reverse, green=ss, blue=normal')
f=figure;
scatter(obs_llh(:,1),obs_llh(:,2),30,style_bf,'fill')
colormap(jet)
colorbar
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
set(gca,'fontsize',15)
axis equal; axis tight
f.Position = [154 68 735 758];
title('Strain Rate Style -- body force contribution,red=reverse, green=ss, blue=normal')
if plot_moment & include_moment
%plot moment source principal directions
clear minVecs maxVecs minvals maxvals
for j=1:size(m11,1)
E = [m11(j) .5*m12_m21(j); .5*m12_m21(j) m22(j)];
[vec,val] = eig(E);
minVecs(:,j) = vec(:,1);
maxVecs(:,j) = vec(:,2);
minvals(j) = val(1,1);
maxvals(j) = val(2,2);
end
style_mom = -(minvals+maxvals)./(abs(minvals)+abs(maxvals));
f=figure;
hold on
%plot moment source directions
vecscale_mom = vecscale_mom*10^-17;
for k=1:length(m11)
%plot the larger magnitude principal direction
if abs(minvals(k))>abs(maxvals(k))
bigvals = minvals(k);
smallvals = maxvals(k);
bigVecs = minVecs(:,k);
smallVecs = maxVecs(:,k);
else
bigvals = maxvals(k);
smallvals = minvals(k);
bigVecs = maxVecs(:,k);
smallVecs = minVecs(:,k);
end
angles(k) = atan(bigVecs(2,:)./bigVecs(1,:))*180/pi;
%plot larger principal direction
vx = [nodes_llh(k,1)-bigVecs(1)*bigvals*vecscale_mom nodes_llh(k,1)+bigVecs(1)*bigvals*vecscale_mom];
vy = [nodes_llh(k,2)-bigVecs(2)*bigvals*vecscale_mom nodes_llh(k,2)+bigVecs(2)*bigvals*vecscale_mom];
if bigvals<0
plot(vx,vy,'r','linewidth',1)
else
plot(vx,vy,'b','linewidth',1)
end
%plot smaller principal direction
vx = [nodes_llh(k,1)-smallVecs(1)*vecscale_mom*smallvals nodes_llh(k,1)+smallVecs(1)*vecscale_mom*smallvals];
vy = [nodes_llh(k,2)-smallVecs(2)*vecscale_mom*smallvals nodes_llh(k,2)+smallVecs(2)*vecscale_mom*smallvals];
if smallvals<0
plot(vx,vy,'r','linewidth',1)
else
plot(vx,vy,'b','linewidth',1)
end
end
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
%plot scale
X = xlim;
Y = ylim;
dY = 0.1*(Y(2)-Y(1));
scale_pos = [X(1)+0.1*(X(2)-X(1)) Y(1)-dY];
scaleval=10^16;
vx = [scale_pos(1)-vecscale_mom*scaleval scale_pos(1)+vecscale_mom*scaleval];
vy = [scale_pos(2) scale_pos(2)];
plot(vx,vy,'r','linewidth',1)
plot(vx,vy-dY/2,'b','linewidth',1)
text(scale_pos(1)-vecscale_mom*scaleval,scale_pos(2)+dY/2,['Scale, ' num2str(scaleval) ' Nm/yr'])
text(scale_pos(1)+2*vecscale_mom*scaleval,scale_pos(2),' Contractional')
text(scale_pos(1)+2*vecscale_mom*scaleval,scale_pos(2)-dY/2,' Extensional')
set(gca,'fontsize',15)
axis equal; axis tight
X = xlim; Y = ylim;
dX = 0.05*(Y(2)-Y(1)); dY = 0.05*(Y(2)-Y(1));
xlim([X(1)-dX X(2)])
ylim([Y(1)-dY Y(2)])
f.Position = [154 68 735 758];
title('Moment Sources -- Principal directions ')
f=figure;
scatter(nodes_llh(:,1),nodes_llh(:,2),30,style_mom,'fill')
colormap(jet)
colorbar
hold on
plot(SegEnds_llh(:,[1 3])',SegEnds_llh(:,[2 4])','k','linewidth',1)
set(gca,'fontsize',15)
axis equal
axis tight
f.Position = [154 68 735 758];
title('Moment Sources -- equiv. faulting style,red=reverse, green=ss, blue=normal ')
end