Results

The methodology was applied on a 3-D marine dataset from the North Sea. The output model space was limited to $\rm hx=0$, ny of equation 2 was set to the entire hy range, and nx was set to 1. Figure  shows five CMP gathers from a relatively simple geologic portion of the dataset. The overall result is satisfactory and event continuity is quite good. Note the brightening and dimming as a function of offset in the lower portion of the second and third panels. The correction factor, equation (5) does not sufficiently emulate the inverse Hessian to remove all of acquisition artifacts.

 

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Figure 1 Five CMP gathers from the regularized dataset. Note the overall smoothness of the result.