1887

Abstract

Summary

We propose a modified pseudo-spectral method for numerical simulation of wave propagation in general anisotropic media. This approach uses rotated staggered grid configuration to implement spatial Fourier derivatives operators. It overcomes some shortages of the pseudo-spectral scheme based on the standard staggered grids, and thus can be efficiently used to simulate seismic wave propagation in anisotropic media with symmetries lower than orthorhombic. Synthetic examples demonstrate that this approach can obtain dispersion-free wave propagation modelling for those complex anisotropic media.

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/content/papers/10.3997/2214-4609.201601417
2016-05-30
2024-04-19
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References

  1. Bale, R.A.
    [2003] Modeling 3D anisotropic elastic data using the pseudospectral approach. 70th EAGE Conference and Exhibition 2008, Expanded Abstracts.
    [Google Scholar]
  2. Bartolo, L.D., Dors, C. and Mansur, W.J.
    [2015] Theory of equivalent staggered-grid schemes: application to rotated and standard grids in anisotropic media. Geophysical Prospecting, 1–29.
    [Google Scholar]
  3. Carcione, J.M., Herman, G.C. and Kroode, A.P.E.T.
    [2002] Seismic modeling. Geophysics, 67, 1304– 1325.
    [Google Scholar]
  4. Igel, H., Mora, P. and Riollet, B.
    [1995] Anisotropic wave propagation through finite-difference grids. Geophysics, 60, 1203–1216.
    [Google Scholar]
  5. Kosloff, D. and Baysal, E.
    [1982] Forward modelling by a fourier method. Geophysics.
    [Google Scholar]
  6. Lisitsa, V. and Vishnevskiy, D.
    [2010] Lebedev scheme for the numerical simulation of wave propagation in 3d anisotropic elasticity. Geophysical Prospecting, 58, 619–635.
    [Google Scholar]
  7. Ozdenvar, T. and McMechan, G.
    [1996] Causes and reduction of numerical artifacts in pseudo-spectral wavefield extrapolation. Geophysical Journal International, 126, 819–829.
    [Google Scholar]
  8. Saenger, E.H., Gold, N. and Shapiro, S.A.
    [2000] Modeling the propagation of the elastic waves using a modified finite-difference grid. Wave Motion, 31, 77–92.
    [Google Scholar]
  9. Virieux, J.
    [1984] Sh-wave propagation in heterogeneous media: Velocity-stess finite-difference method. Geophysics, 49, 1933–1957.
    [Google Scholar]
  10. Zhang, Q. and McMechan, G.A.
    [2010] 2D and 3D elastic wavefield vector decomposition in the wavenumber domain for VTI media. Geophysics, 75(3), D13–D26.
    [Google Scholar]
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