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Seismic demigration/migration in the curvelet domain

Abstract : Curvelets can represent local plane waves. They efficiently decompose seismic images and possibly imaging operators. We study how curvelets are distorted after demigration followed by migration in a different velocity model.We show that for small local velocity perturbations, the demigration/migration is reduced to a simple morphing of the initial curvelet. The derivation of the expected curvature of the curvelets shows that it is easier to sparsify the demigration/migration operator than the migration operator.An application on a 2D synthetic data set, generated in a smooth heterogeneous velocity model and with a complex reflectivity, demonstrates the usefulness of curvelets to predict what a migrated image would become in a locally different velocity model without the need for remigrating the full input data set. Curvelets are thus well suited to study the sensitivity of a prestack depth migrated image with respect to the heterogeneous velocity model used for migration.
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Submitted on : Thursday, November 11, 2010 - 11:30:37 AM
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Hervé Chauris, Truong Trong Nguyen. Seismic demigration/migration in the curvelet domain. Geophysics, Society of Exploration Geophysicists, 2008, 73 (2), pp.S35-S46. ⟨10.1190/1.2831933⟩. ⟨hal-00535521⟩



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