Cross-section (Need help to correct the code or modify it )

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Dear all
I need to correct or modify the following code to give the attached figure: clc
close all;
clear;
% Define the given arrays
x1 =[0, 1, 2, 3, 3.7];
z1 =[6, 6, 6, 6, 6];
x2 =[4.1, 5, 6, 7, 8, 9];
z2 =[4, 4, 4, 4, 4, 4];
x3 =[9, 10, 10, 11,12, 13, 14, 15, 16, 16.4];
z3 =[6, 6, 6, 6, 6, 6, 6, 6, 6, 6];
x4 =[15.3, 16, 17, 18, 19];
z4 =[3, 3, 3, 3, 3];
x =[x1,x2,x3,x4];
z =[z1,z2,z3,z4];
%x = [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21];
%z = [2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 1 1];
% Find sudden changes in depth
sudden_changes = diff(z);
% Find indices where sudden changes occur
fault_indices = find(sudden_changes ~= 0) + 1;
% Initialize variables to store fault information
fault_locations = [];
fault_angles = [];
fault_types = {};
% Plot the top of the rock formation
plot(x, z, '-o');
hold on;
grid on;
% Earth's surface
earth_surface = zeros(size(x));
% Plot fault lines and gather fault information
for i = 1:length(fault_indices)
idx = fault_indices(i);
plot([x(idx-1), x(idx)], [z(idx-1), z(idx)], 'r--');
% Calculate intersection point with Earth's surface
intersection_x = x(idx-1) - z(idx-1) * (x(idx) - x(idx-1)) / (z(idx) - z(idx-1));
plot(intersection_x, 0, 'ro'); % Plot intersection point
set(gca, 'YDir', 'reverse');
% Calculate dip angle using the tan-rule
dip_angle = atand((z(idx) - z(idx-1)) / (x(idx) - x(idx-1)));
% Determine fault type
if dip_angle <= 90
fault_type = 'Normal';
plot(intersection_x, 0, 'go'); % Plot normal fault intersection point
elseif dip_angle > 90
fault_type = 'Reverse';
plot(intersection_x, 0, 'mo'); % Plot reverse fault intersection point
else
fault_type = 'Strike-Slip';
end
% Store fault information
fault_locations = [fault_locations; intersection_x];
fault_angles = [fault_angles; dip_angle];
fault_types{end+1} = fault_type;
end
% Display fault information in a table
if isempty(fault_indices)
% Display a message if there are no faults
disp('No fault lines detected.');
else
% Display fault information in a table
T = table(fault_locations, fault_angles, fault_types', ...
'VariableNames', {'Location', 'Angle', 'Type'});
disp(T);
end
Location Angle Type ________ ______ __________ 4.9 -78.69 {'Normal'} 9 90 {'Normal'} 14.2 69.864 {'Normal'}

Accepted Answer

Walter Roberson
Walter Roberson on 12 May 2024
atand() with one parameter returns values in the range -90 to +90, not in the range 0 to 90 to 180. No single-parameter atand() values will be greater than 90
You should consider whether you want to use the two-parameter form of atand().
And you should take into account negative results from atand()
  4 Comments
Walter Roberson
Walter Roberson on 15 May 2024
should be "Reverse" instead:"Normal"
Not according to your code, it should not be. The atand is 69.864 which is <= 90 and you have defined <= 90 as being Normal.
From the documentation: atand
For real values of X, atand(X) returns values in the interval [-90, 90].
-90 to +90 is <= 90 so for real angles, 'Normal' will always be satisfied.

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