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ArticleAuthors
Hao, QiAlkhalifah, Tariq Ali

KAUST Department
Earth Science and Engineering ProgramPhysical Science and Engineering (PSE) Division
Seismic Wave Analysis Group
Date
2019-09-03Submitted Date
2018-12-20Permanent link to this record
http://hdl.handle.net/10754/661504
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The wave equation plays a central role in seismic modeling, processing, imaging and inversion. Incorporating attenuation anisotropy into the acoustic anisotropic wave equations provides a choice for acoustic forward and inverse modeling in attenuating anisotropic media. However, the existing viscoacoustic anisotropic wave equations are obtained for a specified viscoacoustic model. We have developed a relatively general representation of the scalar and vector viscoacoustic wave equations for orthorhombic anisotropy. We also obtain the viscoacoustic wave equations for transverse isotropy as a special case. The viscoacoustic orthorhombic wave equations are flexible for multiple viscoacoustic models. We take into account the classic visocoacoustic models such as the Kelvin-Voigt, Maxwell, standard-linear-solid and Kjartansson models, and we derive the corresponding viscoacoustic wave equations in differential form. To analyze the wave propagation in viscoacoustic models, we derive the asymptotic point-source solution of the scalar wave equation. Numerical examples indicate a comparison of the acoustic waveforms excited by a point source in the viscoacoustic orthorhombic models and the corresponding nonattenuating model, and the effect of the attenuation anisotropy on the acoustic waveforms.Citation
Hao, Q., & Alkhalifah, T. (2019). Viscoacoustic anisotropic wave equations. GEOPHYSICS, 84(6), C323–C337. doi:10.1190/geo2018-0865.1Sponsors
We are grateful to the assistant editor J. Etgen, the anonymous associate editor and four anonymous reviewers for their reviews and comments. Most of the research work was accomplished when the first author was employed as a research consultant at KAUST. We thank KAUST for its support. The first author also appreciates the support from the College of Petroleum Engineering and Geosciences at KFUPM, and valuable suggestions from Prof. Stewart Greenhalgh.Publisher
Society of Exploration GeophysicistsJournal
GEOPHYSICSAdditional Links
http://mr.crossref.org/iPage?doi=10.1190%2Fgeo2018-0865.1https://library.seg.org/doi/10.1190/geo2018-0865.1
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Is Supplemented By:- [Software]
Title: xqihao/VAWEs: Viscoacoustic Anisotropic Wave Equations --- point source radiation. Publication Date: 2019-11-04. github: xqihao/VAWEs Handle: 10754/666973
ae974a485f413a2113503eed53cd6c53
10.1190/geo2018-0865.1