Efficient anisotropic quasi-P wavefield extrapolation using an isotropic low-rank approximation

Handle URI:
http://hdl.handle.net/10754/626436
Title:
Efficient anisotropic quasi-P wavefield extrapolation using an isotropic low-rank approximation
Authors:
Zhang, Zhendong ( 0000-0003-4689-1577 ) ; Liu, Yike; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 ) ; Wu, Zedong
Abstract:
The computational cost of quasi-P wave extrapolation depends on the complexity of the medium, and specifically the anisotropy. Our effective-model method splits the anisotropic dispersion relation into an isotropic background and a correction factor to handle this dependency. The correction term depends on the slope (measured using the gradient) of current wavefields and the anisotropy. As a result, the computational cost is independent of the nature of anisotropy, which makes the extrapolation efficient. A dynamic implementation of this approach decomposes the original pseudo-differential operator into a Laplacian, handled using the low-rank approximation of the spectral operator, plus an angular dependent correction factor applied in the space domain to correct for anisotropy. We analyze the role played by the correction factor and propose a new spherical decomposition of the dispersion relation. The proposed method provides accurate wavefields in phase and more balanced amplitudes than a previous spherical decomposition. Also, it is free of SV-wave artifacts. Applications to a simple homogeneous transverse isotropic medium with a vertical symmetry axis (VTI) and a modified Hess VTI model demonstrate the effectiveness of the approach. The Reverse Time Migration (RTM) applied to a modified BP VTI model reveals that the anisotropic migration using the proposed modeling engine performs better than an isotropic migration.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Zhang Z, Liu Y, Alkhalifah T, Wu Z (2017) Efficient anisotropic quasi-P wavefield extrapolation using an isotropic low-rank approximation. Geophysical Journal International. Available: http://dx.doi.org/10.1093/gji/ggx543.
Publisher:
Oxford University Press (OUP)
Journal:
Geophysical Journal International
Issue Date:
17-Dec-2017
DOI:
10.1093/gji/ggx543
Type:
Article
ISSN:
0956-540X; 1365-246X
Sponsors:
We thank Nabil Masmoudi and Hui Wang for their helpful discussions, and Rene-Edouard Plessix, Samuel Gray and one anonymous reviewer for helpful reviews. We thank KAUST for its support and specifically the seismic wave analysis group members for their valuable insights. The published results are reproducible from the open source software Madagascar (www.ahay.org). The research was partly funded by the National Natural Science Foundation of China (Grant Nos. 41730425).
Additional Links:
https://academic.oup.com/gji/advance-article/doi/10.1093/gji/ggx543/4757073
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorZhang, Zhendongen
dc.contributor.authorLiu, Yikeen
dc.contributor.authorAlkhalifah, Tariq Alien
dc.contributor.authorWu, Zedongen
dc.date.accessioned2017-12-27T13:11:15Z-
dc.date.available2017-12-27T13:11:15Z-
dc.date.issued2017-12-17en
dc.identifier.citationZhang Z, Liu Y, Alkhalifah T, Wu Z (2017) Efficient anisotropic quasi-P wavefield extrapolation using an isotropic low-rank approximation. Geophysical Journal International. Available: http://dx.doi.org/10.1093/gji/ggx543.en
dc.identifier.issn0956-540Xen
dc.identifier.issn1365-246Xen
dc.identifier.doi10.1093/gji/ggx543en
dc.identifier.urihttp://hdl.handle.net/10754/626436-
dc.description.abstractThe computational cost of quasi-P wave extrapolation depends on the complexity of the medium, and specifically the anisotropy. Our effective-model method splits the anisotropic dispersion relation into an isotropic background and a correction factor to handle this dependency. The correction term depends on the slope (measured using the gradient) of current wavefields and the anisotropy. As a result, the computational cost is independent of the nature of anisotropy, which makes the extrapolation efficient. A dynamic implementation of this approach decomposes the original pseudo-differential operator into a Laplacian, handled using the low-rank approximation of the spectral operator, plus an angular dependent correction factor applied in the space domain to correct for anisotropy. We analyze the role played by the correction factor and propose a new spherical decomposition of the dispersion relation. The proposed method provides accurate wavefields in phase and more balanced amplitudes than a previous spherical decomposition. Also, it is free of SV-wave artifacts. Applications to a simple homogeneous transverse isotropic medium with a vertical symmetry axis (VTI) and a modified Hess VTI model demonstrate the effectiveness of the approach. The Reverse Time Migration (RTM) applied to a modified BP VTI model reveals that the anisotropic migration using the proposed modeling engine performs better than an isotropic migration.en
dc.description.sponsorshipWe thank Nabil Masmoudi and Hui Wang for their helpful discussions, and Rene-Edouard Plessix, Samuel Gray and one anonymous reviewer for helpful reviews. We thank KAUST for its support and specifically the seismic wave analysis group members for their valuable insights. The published results are reproducible from the open source software Madagascar (www.ahay.org). The research was partly funded by the National Natural Science Foundation of China (Grant Nos. 41730425).en
dc.publisherOxford University Press (OUP)en
dc.relation.urlhttps://academic.oup.com/gji/advance-article/doi/10.1093/gji/ggx543/4757073en
dc.rightsThis is a pre-copyedited, author-produced PDF of an article accepted for publication in Geophysical Journal International following peer review. The version of record is available online at: https://academic.oup.com/gji/advance-article/doi/10.1093/gji/ggx543/4757073.en
dc.subjectSeismic anisotropyen
dc.subjectLow-rank approximationen
dc.subjectWave propagationen
dc.subjectNumerical modelingen
dc.titleEfficient anisotropic quasi-P wavefield extrapolation using an isotropic low-rank approximationen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalGeophysical Journal Internationalen
dc.eprint.versionPost-printen
dc.contributor.institutionUniversity of Chinese Academy of Sciences, Beijing 100049, Chinaen
dc.contributor.institutionKey Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China.en
kaust.authorZhang, Zhendongen
kaust.authorAlkhalifah, Tariq Alien
kaust.authorWu, Zedongen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.