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Robust seismic amplitude recovery using curvelets

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Title: Robust seismic amplitude recovery using curvelets
Author: Moghaddam, Peyman P.; Herrmann, Felix J.; Stolk, Christiaan C.
Subject Keywords demigration migration operator;curvelets;amplitude recovery;invariance;seismic amplitude;amplitude correction;signal recovery;diagonal approximation
Issue Date: 2007
Publicly Available in cIRcle 2008-03-26
Publisher Society of Exploration Geophysicists
Citation: Moghaddam, Peyman P., Herrmann, Felix J., Stolk Christiaan C. 2007. Robust seismic amplitude recovery using curvelets. SEG International Exposition and 77th Annual Meeting.
Abstract: In this paper, we recover the amplitude of a seismic image by approximating the normal (demigrationmigration) operator. In this approximation, we make use of the property that curvelets remain invariant under the action of the normal operator. We propose a seismic amplitude recovery method that employs an eigenvalue like decomposition for the normal operator using curvelets as eigen-vectors. Subsequently, we propose an approximate non-linear singularity-preserving solution to the least-squares seismic imaging problem with sparseness in the curvelet domain and spatial continuity constraints. Our method is tested with a reverse-time ’wave-equation’ migration code simulating the acoustic wave equation on the SEG-AA salt model.
Affiliation: Earth and Ocean Sciences, Dept. of (EOS), Dept of
URI: http://hdl.handle.net/2429/613
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