ricker model in matlab

To create a Ricker wavelet in MATLAB, you can define a time vector t for the duration of the wavelet and a central frequency f. Then, use the formula for the Ricker wavelet to calculate the amplitude of the wavelet at each point in time.

Here's an example code snippet:

main.m
% Define parameters
dt = 0.001; % time step
tmax = 1; % maximum time
t = 0:dt:tmax; % time vector
f = 25; % central frequency

% Calculate Ricker wavelet
s = (1 - 2 * pi^2 * f^2 * (t - tmax/2).^2) .* exp(-pi^2 * f^2 * (t - tmax/2).^2);

% Plot wavelet
plot(t, s)
xlabel('Time (s)')
ylabel('Amplitude')
title('Ricker Wavelet')
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This code will create a plot of the Ricker wavelet with a central frequency of 25 Hz.

To use the Ricker wavelet for seismic imaging, you can convolve it with a reflectivity series and then use the resulting seismogram to image the subsurface. You can visualize the results using a 2D plot, such as an image plot or a contour plot.

Here's an example code snippet for seismic imaging:

main.m
% Define reflectivity series
r = [zeros(1, 500), ones(1, 500), zeros(1, 500)];

% Convolve with Ricker wavelet
seismogram = conv(r, s, 'same');

% Visualize results
figure
imagesc(seismogram)
xlabel('Trace')
ylabel('Time (ms)')
title('Seismic Reflection Image')
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This code will create an image plot of the seismic reflection image, where the horizontal axis represents the trace number and the vertical axis represents the time. The reflectors in the subsurface will appear as bright or dark patterns in the image.