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

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    Type
    Article
    Authors
    Zhang, Zhendong cc
    Liu, Yike
    Alkhalifah, Tariq Ali cc
    Wu, Zedong cc
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2017-12-18
    Online Publication Date
    2017-12-18
    Print Publication Date
    2018-04-01
    Permanent link to this record
    http://hdl.handle.net/10754/626436
    
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    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.
    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.
    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).
    Publisher
    Oxford University Press (OUP)
    Journal
    Geophysical Journal International
    DOI
    10.1093/gji/ggx543
    Additional Links
    https://academic.oup.com/gji/advance-article/doi/10.1093/gji/ggx543/4757073
    ae974a485f413a2113503eed53cd6c53
    10.1093/gji/ggx543
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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