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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 l2 and l1
norm produce comparable results in the velocity space and for the reconstructed data,
(2) the l1 norm with l1 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 l2 and the
l1 norm; more noisy gathers would lead to different conclusions.
Next: REFERENCES
Up: Guitton: Multiple attenuation
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Stanford Exploration Project
4/27/2000