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I have shown that the multiple reflections may be attenuated in the prestack domain
using the Hyperbolic Radon Transform. Different inverse problems have been solved
to obtain the velocity panels showing different properties: (1) the *l*^{2} and *l*^{1}
norm produce comparable results in the velocity space and for the reconstructed data,
(2) the *l*^{1} norm with *l*^{1} regularization shows spikier results in the velocity domain
but converge much more slowly than the other methods, and (3) the stacked sections
of the multiple-free data are very similar for the different inverse problems.
The good quality of the data explains the small discrepancy between the *l*^{2} and the
*l*^{1} norm; more noisy gathers would lead to different conclusions.

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Stanford Exploration Project

4/27/2000