Seismic wave extrapolation using lowrank symbol approximation

Handle URI:
http://hdl.handle.net/10754/599570
Title:
Seismic wave extrapolation using lowrank symbol approximation
Authors:
Fomel, Sergey; Ying, Lexing; Song, Xiaolei
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.
Citation:
Fomel S, Ying L, Song X (2012) Seismic wave extrapolation using lowrank symbol approximation. Geophysical Prospecting 61: 526–536. Available: http://dx.doi.org/10.1111/j.1365-2478.2012.01064.x.
Publisher:
Wiley-Blackwell
Journal:
Geophysical Prospecting
Issue Date:
30-Apr-2012
DOI:
10.1111/j.1365-2478.2012.01064.x
Type:
Article
ISSN:
0016-8025
Sponsors:
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.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorFomel, Sergeyen
dc.contributor.authorYing, Lexingen
dc.contributor.authorSong, Xiaoleien
dc.date.accessioned2016-02-28T05:53:33Zen
dc.date.available2016-02-28T05:53:33Zen
dc.date.issued2012-04-30en
dc.identifier.citationFomel S, Ying L, Song X (2012) Seismic wave extrapolation using lowrank symbol approximation. Geophysical Prospecting 61: 526–536. Available: http://dx.doi.org/10.1111/j.1365-2478.2012.01064.x.en
dc.identifier.issn0016-8025en
dc.identifier.doi10.1111/j.1365-2478.2012.01064.xen
dc.identifier.urihttp://hdl.handle.net/10754/599570en
dc.description.abstractWe 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.en
dc.description.sponsorshipWe 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.en
dc.publisherWiley-Blackwellen
dc.subjectDecompositionen
dc.subjectLowranken
dc.titleSeismic wave extrapolation using lowrank symbol approximationen
dc.typeArticleen
dc.identifier.journalGeophysical Prospectingen
dc.contributor.institutionUniversity of Texas at Austin, Austin, United Statesen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.