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3D post-stack one-way migration using curvelets

BINGBING SUN1,2 ,  HERVÉ CHAURIS2,3 ,  JIANWEI MA1
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1 Institute of Seismic Exploration, School of Aerospace, Tsinghua University, Beijing 100084, P.R. China.,
2 Centre de Géosciences, Mines Paristech, 35 rue Saint-Honoré, 77300 Fontainebleau, France.,
3 UMR-Sisyphe 7619, France.,
JSE 2011, 20(3), 257–271;
Submitted: 17 August 2010 | Accepted: 8 June 2011 | Published: 1 September 2011
© 2011 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

Sun, B., Chauris, H. and Ma, J., 2011. 3D post-stack one-way migration using curvelets. Journal of Seismic Exploration, 20: 257-271. The classical one-way approximation extrapolates the wavefield from the surface. At each depth level, time shifts are applied in the spatial and wavenumber domains. These shifts are function of the local velocity model. In this paper, following the same strategy as the beamlet migration, we formulate the split-step Fourier method in the curvelet domain. Curvelets are fairly local in the spatial and wavenumber domains, justifying the use of local velocity values in the one-way strategy. In practice, the wavefield is decomposed into 2D curvelets at each extrapolation depth and for fixed frequencies. The derivation is validated through an application on 3D zero-offset migration in a heterogeneous model. This work should be understood as an important step towards a better understanding of the wave propagation in a multi-scale and multi-directional perspective.

Keywords
migration
curvelets
3D
post-stack
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Journal of Seismic Exploration, Print ISSN: 0963-0651, Published by AccScience Publishing
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