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    An efficient hybrid pseudospectral/finite-difference scheme for solving the TTI pure P-wave equation

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    Type
    Article
    Authors
    Zhan, Ge
    Pestana, Reynam C.
    Stoffa, Paul L.
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2013-02-19
    Online Publication Date
    2013-02-19
    Print Publication Date
    2013-04-01
    Permanent link to this record
    http://hdl.handle.net/10754/562656
    
    Metadata
    Show full item record
    Abstract
    The pure P-wave equation for modelling and migration in tilted transversely isotropic (TTI) media has attracted more and more attention in imaging seismic data with anisotropy. The desirable feature is that it is absolutely free of shear-wave artefacts and the consequent alleviation of numerical instabilities generally suffered by some systems of coupled equations. However, due to several forward-backward Fourier transforms in wavefield updating at each time step, the computational cost is significant, and thereby hampers its prevalence. We propose to use a hybrid pseudospectral (PS) and finite-difference (FD) scheme to solve the pure P-wave equation. In the hybrid solution, most of the cost-consuming wavenumber terms in the equation are replaced by inexpensive FD operators, which in turn accelerates the computation and reduces the computational cost. To demonstrate the benefit in cost saving of the new scheme, 2D and 3D reverse-time migration (RTM) examples using the hybrid solution to the pure P-wave equation are carried out, and respective runtimes are listed and compared. Numerical results show that the hybrid strategy demands less computation time and is faster than using the PS method alone. Furthermore, this new TTI RTM algorithm with the hybrid method is computationally less expensive than that with the FD solution to conventional TTI coupled equations. © 2013 Sinopec Geophysical Research Institute.
    Publisher
    IOP Publishing
    Journal
    Journal of Geophysics and Engineering
    DOI
    10.1088/1742-2132/10/2/025004
    ae974a485f413a2113503eed53cd6c53
    10.1088/1742-2132/10/2/025004
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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