Fabrication of unrecorded data by Gaussian slowness period packet extrapolation

A computer-implemented method for generating missing frequencies within geophysical data, said method comprising:

• decomposing, with a computer, the geophysical data into frequencies and slowness or wavenumber along time and one or more spatial dimensions, wherein the decomposing includes applying a GaSP transform;
• estimating, with a computer, a filter across known frequencies within the geophysical data for each time, spatial dimension, and slowness or wavenumber sample;
• extrapolating or interpolating, with a computer, the missing frequencies from the known frequencies by applying the filter;
• recomposing, with a computer, the known frequencies and the missing frequencies back into time and the one or more spatial dimensions, which generates updated geophysical data that includes the missing frequencies;
• and
• prospecting for hydrocarbons with the updated geophysical data.