MULTIPLES ATTENUATION USING SHAPING REGULARIZATION WITH SEISLET DOMAIN SPARSITY CONSTRAINT

In this paper, we propose a novel multiples attenuation approach based on seislet domain sparsity constraint (SSC). The basic principle of the proposed method is separating primaries and multiples according to the their difference in local slopes. We use the multiples model predicted by the surfaced related multiples elimination (SRME) approach to calculate the matching filter (MF) in order to obtain the initial multiples and initial primaries. The initial multiples and primaries are then used to calculate the local slope of both multiples and primaries used in the proposed iterative inversion framework. The local slope of estimated primaries and multiples can be updated during the iterations in order to get more precise result. A field data example demonstrate a successful performance of the proposed approach. Except for the removed surface-related multiples, the internal multiples can also be attenuated.