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    Viscoacoustic anisotropic wave equations

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    Type
    Article
    Authors
    Hao, Qi
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2019-09-03
    Submitted Date
    2018-12-20
    Permanent link to this record
    http://hdl.handle.net/10754/661504
    
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    Abstract
    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/geo2018-0865.1
    Sponsors
    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 Geophysicists
    Journal
    GEOPHYSICS
    DOI
    10.1190/geo2018-0865.1
    10.1190/segam2019-3215412.1
    Additional Links
    http://mr.crossref.org/iPage?doi=10.1190%2Fgeo2018-0865.1
    https://library.seg.org/doi/10.1190/geo2018-0865.1
    Relations
    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
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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