Seismic multiple removal with a Primal-Dual proximal algorithm

Abstract : Both random and structured perturbations affect seismic data. Their removal, to unveil meaningful geophysical information, requires additional priors. Seismic multiples are one form of structured perturbations related to wave-field bouncing. In this paper, we model these undesired signals through a time-varying filtering process accounting for inaccuracies in amplitude, time-shift and average frequency of available templates. We recast the problem of jointly estimating the filters and the signal of interest (primary) in a new convex variational formulation, allowing the incorporation of knowledge about the noise statistics. By making some physically plausible assumptions about the slow time variations of the filters, and by adopting a potential promoting the sparsity of the primary in a wavelet frame, we design a primal-dual algorithm which yields good performance in the provided simulation examples.
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https://hal.archives-ouvertes.fr/hal-00825809
Contributor : Mai Quyen Pham <>
Submitted on : Friday, May 24, 2013 - 4:03:03 PM
Last modification on : Friday, March 8, 2019 - 9:34:04 PM

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  • HAL Id : hal-00825809, version 1

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Mai Quyen Pham, Caroline Chaux, Laurent Duval, Jean-Christophe Pesquet. Seismic multiple removal with a Primal-Dual proximal algorithm. ICASSP, May 2013, Vancouver, Canada. 5 pp. ⟨hal-00825809⟩

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