1887

Abstract

Summary

We combine the rotated staggered grid finite difference method with the implicit staggered grid finite difference method together to perform numerical modeling of the porous elastic anisotropic medium. The combined method requires nearly the same amount of computation and occupies nearly the same amount of memory as those of the explicit staggered-grid method under the same order but can obtain higher accuracy when additional cost of visiting arrays is ignored. A high order explicit FD can be replaced by some lower order implicit FD so that lots of computational cost may be saved while maintaining the precision. Finally, we show two examples and a comparison of the precision between the rotated staggered grid finite difference and the combined method to demonstrate advantages of the combined method.

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/content/papers/10.3997/2214-4609.20140880
2014-06-16
2024-03-29
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References

  1. Madariaga, R.
    [1976] Dynamics of an expanding circular fault, Bulletin of the Seismological Society of America, 66, 639–666.
    [Google Scholar]
  2. Virieux, J.
    [1986] P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method, Geophysics, 51, 889–901.
    [Google Scholar]
  3. Gold, N., ShapiroS. A. and BurrE.
    [1997] Modeling of high contrasts in elastic media using a modified finite difference scheme. 67th SEG Annual Meeting Expanded Abstracts, 16, 1850–1853.
    [Google Scholar]
  4. Saenger, E. H., GoldN. and Shapiro, S. A.
    [2000] Modeling the propagation of elastic waves using a modified finite-difference grid, Wave motion, 31, 77–92.
    [Google Scholar]
  5. Saenger, E. H. and BohlenT.
    [2004] Finite-difference modeling of viscoelastic and anisotropic wave propagation using the rotated staggered grid, Geophysics, 69, 583–591.
    [Google Scholar]
  6. Liu, Y. and Sen, M. K.
    [2009] An implicit staggered-grid finite-difference method for seismic modeling. Geophysical Journal International, 179, 459–474.
    [Google Scholar]
  7. Biot, M. A.
    [1956] Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. The Journal of the Acoustical Society of America, 28, 168–178.
    [Google Scholar]
  8. [1956] Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range. The Journal of the Acoustical Society of America, 28, 179–191.
    [Google Scholar]
  9. Berenger, J. P.
    [1994] A perfectly matched layer for the absorption of electromagnetic waves. Journal of computational physics, 114, 185–200.
    [Google Scholar]
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