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    Explicit coupling of acoustic and elastic wave propagation in finite-difference simulations

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    Type
    Article
    Authors
    Gao, Longfei cc
    Keyes, David E. cc
    KAUST Department
    Extreme Computing Research Center
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Applied Mathematics and Computational Science Program
    Office of the President
    Date
    2020-09-30
    Online Publication Date
    2020-09-30
    Print Publication Date
    2020-09-01
    Submitted Date
    2019-08-22
    Permanent link to this record
    http://hdl.handle.net/10754/665970
    
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    Abstract
    We present a mechanism to explicitly couple the finite-difference discretizations of 2D acoustic and isotropic elastic-wave systems that are separated by straight interfaces. Such coupled simulations allow for the application of the elastic model to geological regions that are of special interest for seismic exploration studies (e.g., the areas surrounding salt bodies), with the computationally more tractable acoustic model still being applied in the background regions. Specifically, the acoustic wave system is expressed in terms of velocity and pressure while the elastic wave system is expressed in terms of velocity and stress. Both systems are posed in first-order forms and are discretized on staggered grids. Special variants of the standard finite-difference operators, namely, operators that possess the summation-by-parts property, are used for the approximation of spatial derivatives. Penalty terms, which are also referred to as the simultaneous approximation terms, are designed to weakly impose the elastic-acoustic interface conditions in the finite-difference discretizations and couple the elastic and acoustic wave simulations together. With the presented mechanism, we are able to perform the coupled elastic-acoustic wave simulations stably and accurately. Moreover, it is shown that the energy-conserving property in the continuous systems can be preserved in the discretized systems with carefully designed penalty terms.
    Citation
    Gao, L., & Keyes, D. (2020). Explicit coupling of acoustic and elastic wave propagation in finite-difference simulations. GEOPHYSICS, 85(5), T293–T308. doi:10.1190/geo2019-0566.1
    Publisher
    Society of Exploration Geophysicists
    Journal
    Geophysics
    DOI
    10.1190/geo2019-0566.1
    arXiv
    2006.10886
    Additional Links
    http://mr.crossref.org/iPage?doi=10.1190%2Fgeo2019-0566.1
    ae974a485f413a2113503eed53cd6c53
    10.1190/geo2019-0566.1
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Extreme Computing Research Center; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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