Rapid expansion and pseudo spectral implementation for reverse time migration in VTI media

Handle URI:
http://hdl.handle.net/10754/599441
Title:
Rapid expansion and pseudo spectral implementation for reverse time migration in VTI media
Authors:
Pestana, Reynam C; Ursin, Bjørn; Stoffa, Paul L
Abstract:
In isotropic media, we use the scalar acoustic wave equation to perform reverse time migration (RTM) of the recorded pressure wavefield data. In anisotropic media, P- and SV-waves are coupled, and the elastic wave equation should be used for RTM. For computational efficiency, a pseudo-acoustic wave equation is often used. This may be solved using a coupled system of second-order partial differential equations. We solve these using a pseudo spectral method and the rapid expansion method (REM) for the explicit time marching. This method generates a degenerate SV-wave in addition to the P-wave arrivals of interest. To avoid this problem, the elastic wave equation for vertical transversely isotropic (VTI) media can be split into separate wave equations for P- and SV-waves. These separate wave equations are stable, and they can be effectively used to model and migrate seismic data in VTI media where |ε- δ| is small. The artifact for the SV-wave has also been removed. The independent pseudo-differential wave equations can be solved one for each mode using the pseudo spectral method for the spatial derivatives and the REM for the explicit time advance of the wavefield. We show numerically stable and high-resolution modeling and RTM results for the pure P-wave mode in VTI media. © 2012 Sinopec Geophysical Research Institute.
Citation:
Pestana RC, Ursin B, Stoffa PL (2012) Rapid expansion and pseudo spectral implementation for reverse time migration in VTI media. Journal of Geophysics and Engineering 9: 291–301. Available: http://dx.doi.org/10.1088/1742-2132/9/3/291.
Publisher:
IOP Publishing
Journal:
Journal of Geophysics and Engineering
Issue Date:
24-Apr-2012
DOI:
10.1088/1742-2132/9/3/291
Type:
Article
ISSN:
1742-2132; 1742-2140
Sponsors:
RCP and PLS would like to acknowledge support received for this research from King Abdullah University of Science and Technology (KAUST). BU has received support from VISTA and the Norwegian Research Council through the ROSE project. The authors would like to thank Paul Fowler for a detailed review of an early version of the manuscript. Finally, the authors also thank Amerada Hess for making the synthetic data set available.
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Full metadata record

DC FieldValue Language
dc.contributor.authorPestana, Reynam Cen
dc.contributor.authorUrsin, Bjørnen
dc.contributor.authorStoffa, Paul Len
dc.date.accessioned2016-02-28T05:51:11Zen
dc.date.available2016-02-28T05:51:11Zen
dc.date.issued2012-04-24en
dc.identifier.citationPestana RC, Ursin B, Stoffa PL (2012) Rapid expansion and pseudo spectral implementation for reverse time migration in VTI media. Journal of Geophysics and Engineering 9: 291–301. Available: http://dx.doi.org/10.1088/1742-2132/9/3/291.en
dc.identifier.issn1742-2132en
dc.identifier.issn1742-2140en
dc.identifier.doi10.1088/1742-2132/9/3/291en
dc.identifier.urihttp://hdl.handle.net/10754/599441en
dc.description.abstractIn isotropic media, we use the scalar acoustic wave equation to perform reverse time migration (RTM) of the recorded pressure wavefield data. In anisotropic media, P- and SV-waves are coupled, and the elastic wave equation should be used for RTM. For computational efficiency, a pseudo-acoustic wave equation is often used. This may be solved using a coupled system of second-order partial differential equations. We solve these using a pseudo spectral method and the rapid expansion method (REM) for the explicit time marching. This method generates a degenerate SV-wave in addition to the P-wave arrivals of interest. To avoid this problem, the elastic wave equation for vertical transversely isotropic (VTI) media can be split into separate wave equations for P- and SV-waves. These separate wave equations are stable, and they can be effectively used to model and migrate seismic data in VTI media where |ε- δ| is small. The artifact for the SV-wave has also been removed. The independent pseudo-differential wave equations can be solved one for each mode using the pseudo spectral method for the spatial derivatives and the REM for the explicit time advance of the wavefield. We show numerically stable and high-resolution modeling and RTM results for the pure P-wave mode in VTI media. © 2012 Sinopec Geophysical Research Institute.en
dc.description.sponsorshipRCP and PLS would like to acknowledge support received for this research from King Abdullah University of Science and Technology (KAUST). BU has received support from VISTA and the Norwegian Research Council through the ROSE project. The authors would like to thank Paul Fowler for a detailed review of an early version of the manuscript. Finally, the authors also thank Amerada Hess for making the synthetic data set available.en
dc.publisherIOP Publishingen
dc.subjectanisotropyen
dc.subjectdispersion relationen
dc.subjectpseudo spectral methoden
dc.subjectrapid expansion methoden
dc.subjectreverse time migrationen
dc.subjectseismic wavesen
dc.subjectvertical transversely isotropicen
dc.titleRapid expansion and pseudo spectral implementation for reverse time migration in VTI mediaen
dc.typeArticleen
dc.identifier.journalJournal of Geophysics and Engineeringen
dc.contributor.institutionUniversidade Federal da Bahia, Salvador, Brazilen
dc.contributor.institutionNorges Teknisk-Naturvitenskapelige Universitet, Trondheim, Norwayen
dc.contributor.institutionUniversity of Texas at Austin, Austin, United Statesen
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