Modeling of pseudoacoustic P-waves in orthorhombic media with a low-rank approximation

Handle URI:
http://hdl.handle.net/10754/555632
Title:
Modeling of pseudoacoustic P-waves in orthorhombic media with a low-rank approximation
Authors:
Song, Xiaolei; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Wavefield extrapolation in pseudoacoustic orthorhombic anisotropic media suffers from wave-mode coupling and stability limitations in the parameter range. We use the dispersion relation for scalar wave propagation in pseudoacoustic orthorhombic media to model acoustic wavefields. The wavenumber-domain application of the Laplacian operator allows us to propagate the P-waves exclusively, without imposing any conditions on the parameter range of stability. It also allows us to avoid dispersion artifacts commonly associated with evaluating the Laplacian operator in space domain using practical finite-difference stencils. To handle the corresponding space-wavenumber mixed-domain operator, we apply the low-rank approximation approach. Considering the number of parameters necessary to describe orthorhombic anisotropy, the low-rank approach yields space-wavenumber decomposition of the extrapolator operator that is dependent on space location regardless of the parameters, a feature necessary for orthorhombic anisotropy. Numerical experiments that the proposed wavefield extrapolator is accurate and practically free of dispersion. Furthermore, there is no coupling of qSv and qP waves because we use the analytical dispersion solution corresponding to the P-wave.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Modeling of pseudoacoustic P-waves in orthorhombic media with a low-rank approximation 2013, 78 (4):C33 GEOPHYSICS
Journal:
GEOPHYSICS
Issue Date:
4-Jun-2013
DOI:
10.1190/geo2012-0144.1
Type:
Article
ISSN:
0016-8033; 1942-2156
Additional Links:
http://library.seg.org/doi/abs/10.1190/geo2012-0144.1
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorSong, Xiaoleien
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2015-05-25T07:57:10Zen
dc.date.available2015-05-25T07:57:10Zen
dc.date.issued2013-06-04en
dc.identifier.citationModeling of pseudoacoustic P-waves in orthorhombic media with a low-rank approximation 2013, 78 (4):C33 GEOPHYSICSen
dc.identifier.issn0016-8033en
dc.identifier.issn1942-2156en
dc.identifier.doi10.1190/geo2012-0144.1en
dc.identifier.urihttp://hdl.handle.net/10754/555632en
dc.description.abstractWavefield extrapolation in pseudoacoustic orthorhombic anisotropic media suffers from wave-mode coupling and stability limitations in the parameter range. We use the dispersion relation for scalar wave propagation in pseudoacoustic orthorhombic media to model acoustic wavefields. The wavenumber-domain application of the Laplacian operator allows us to propagate the P-waves exclusively, without imposing any conditions on the parameter range of stability. It also allows us to avoid dispersion artifacts commonly associated with evaluating the Laplacian operator in space domain using practical finite-difference stencils. To handle the corresponding space-wavenumber mixed-domain operator, we apply the low-rank approximation approach. Considering the number of parameters necessary to describe orthorhombic anisotropy, the low-rank approach yields space-wavenumber decomposition of the extrapolator operator that is dependent on space location regardless of the parameters, a feature necessary for orthorhombic anisotropy. Numerical experiments that the proposed wavefield extrapolator is accurate and practically free of dispersion. Furthermore, there is no coupling of qSv and qP waves because we use the analytical dispersion solution corresponding to the P-wave.en
dc.relation.urlhttp://library.seg.org/doi/abs/10.1190/geo2012-0144.1en
dc.rightsArchived with thanks to GEOPHYSICSen
dc.subject3Den
dc.subjectacousticen
dc.subjectmodelingen
dc.subjectP-waveen
dc.subjectanisotropyen
dc.titleModeling of pseudoacoustic P-waves in orthorhombic media with a low-rank approximationen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalGEOPHYSICSen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionThe University of Texas at Austin, Bureau of Economic Geology, Jackson School of Geosciences, Austin, Texas, USAen
kaust.authorAlkhalifah, Tariq Alien
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