Seismic wave extrapolation using lowrank symbol approximation

Sergey Fomel; Lexing Ying; Xiaolei Song

doi:10.1111/j.1365-2478.2012.01064.x

Seismic wave extrapolation using lowrank symbol approximation

Sergey Fomel, Lexing Ying, Xiaolei Song

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252 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 language	English (US)
Pages (from-to)	526-536
Number of pages	11
Journal	Geophysical Prospecting
Volume	61
Issue number	3
DOIs	https://doi.org/10.1111/j.1365-2478.2012.01064.x
State	Published - Apr 30 2012
Externally published	Yes

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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10.1111/j.1365-2478.2012.01064.x

Cite this

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title = "Seismic wave extrapolation using lowrank symbol approximation",

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. {\textcopyright} 2012 European Association of Geoscientists & Engineers.",

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AU - Ying, Lexing

AU - Song, Xiaolei

N1 - 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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N2 - 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.

AB - 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.

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VL - 61

SP - 526

EP - 536

JO - Geophysical Prospecting

JF - Geophysical Prospecting

IS - 3

ER -

Seismic wave extrapolation using lowrank symbol approximation

Abstract

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