Reconstruction method of seabed earthquake data

[0032] Example 1: Take the random acquisition of submarine seismic data in a sea area as an example, and randomly sample 50% of the sampling points of the submarine seismic profile ( figure 2 Left), use the method of this application to reconstruct the rule data, which is realized by the following steps:

[0033] The first step is to establish the relationship between the seabed random sampling seismic data and the regular data: Rf = less, R represents the sea bottom seismic random sampling operator, f represents the sea bottom seismic regular data to be reconstructed, y represents the sea bottom random sampling seismic data, and figure 2 left;

[0034] In the second step, using the sparsity of the regular submarine seismic data f in the curve wave domain, a sparse inverse problem is established: Among them, Df=x represents the curvelet transform, and x is the sparse curvelet coefficient, so the problem is transformed into solving the sparsest curvelet domain coefficient ...