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    Pure Quasi-P-wave calculation in transversely isotropic media using a hybrid method

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    Type
    Article
    Authors
    Wu, Zedong cc
    Liu, Hongwei
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2018-04-14
    Online Publication Date
    2018-04-14
    Print Publication Date
    2018-07-01
    Permanent link to this record
    http://hdl.handle.net/10754/627567
    
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    Abstract
    The acoustic approximation for anisotropic media is widely used in current industry imaging and inversion algorithms mainly because P-waves constitute the majority of the energy recorded in seismic exploration. The resulting acoustic formulas tend to be simpler, resulting in more efficient implementations, and depend on fewer medium parameters. However, conventional solutions of the acoustic wave equation with higher-order derivatives suffer from shear wave artifacts. Thus, we derive a new acoustic wave equation for wave propagation in transversely isotropic (TI) media, which is based on a partially separable approximation of the dispersion relation for TI media and free of shear wave artifacts. Even though our resulting equation is not a partial differential equation, it is still a linear equation. Thus, we propose to implement this equation efficiently by combining the finite difference approximation with spectral evaluation of the space-independent parts. The resulting algorithm provides solutions without the constrain of ε ≥ δ. Numerical tests demonstrate the effectiveness of the approach.
    Citation
    Wu Z, Liu H, Alkhalifah T (2018) Pure Quasi-P-wave calculation in transversely isotropic media using a hybrid method. Geophysical Journal International. Available: http://dx.doi.org/10.1093/gji/ggy151.
    Sponsors
    We thank KAUST for its support and the SWAG group for the collaborative environment. We also thank the associate editor Jean Virieux, Hejun Zhu, and another anonymous reviewer for their fruitful suggestions and comments. The research reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST). For computer time, this research used the resources of the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia. We also thank Michael Jervis for proofreading the article and BP for providing the BP TTI benchmark model.
    Publisher
    Oxford University Press (OUP)
    Journal
    Geophysical Journal International
    DOI
    10.1093/gji/ggy151
    Additional Links
    https://academic.oup.com/gji/advance-article/doi/10.1093/gji/ggy151/4970770
    ae974a485f413a2113503eed53cd6c53
    10.1093/gji/ggy151
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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