Seismic wave extrapolation using lowrank symbol approximation

Sergey Fomel, Lexing Ying, Xiaolei Song

Research output: Contribution to journalArticlepeer-review

273 Scopus citations

Abstract

We consider the problem of constructing a wave extrapolation operator in a variable and possibly anisotropic medium. Our construction involves Fourier transforms in space combined with the help of a lowrank approximation of the space-wavenumber wave-propagator matrix. A lowrank approximation implies selecting a small set of representative spatial locations and a small set of representative wavenumbers. We present a mathematical derivation of this method, a description of the lowrank approximation algorithm and numerical examples that confirm the validity of the proposed approach. Wave extrapolation using lowrank approximation can be applied to seismic imaging by reverse-time migration in 3D heterogeneous isotropic or anisotropic media. © 2012 European Association of Geoscientists & Engineers.
Original languageEnglish (US)
Pages (from-to)526-536
Number of pages11
JournalGeophysical Prospecting
Volume61
Issue number3
DOIs
StatePublished - Apr 30 2012
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: We thank KAUST for partial financial support; Tariq Alkhalifah, Bjorn Engquist, Laurent Demanet and Paul Fowler for useful discussions; and BP for releasing benchmark synthetic models.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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