1887

Abstract

Summary

We present a method to include small-scale inhomogeneities in the high-order acoustic finite difference and pseudo-spectral methods while retaining their sparse grids. We define the structures on auxiliary dense grids and use the points as the secondary sources in the Born approximation. We use Hicks’ interpolation to include the points in the finite difference or pseudo-spectral grids. The method provides accurate estimation of the wavefield scattered from a small circular structure in 2D.

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/content/papers/10.3997/2214-4609.201801650
2018-06-11
2020-06-07
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References

  1. Aki, K. and Richards, P.G.
    [1980] Quantative seismology: Theory and methods. W. H. Freeman and Co., San Francisco.
    [Google Scholar]
  2. van Baren, G.B., Mulder, W.A. and Herman, G.C.
    [2001] Finite-difference modeling of scalar-wave propagation in cracked media. Geophysics, 66(1), 267–276.
    [Google Scholar]
  3. Carcione, J.M.
    [1996] Scattering of elastic waves by single anelastic cracks and fractures. In: SEG Technical Program Expanded Abstracts 1996, x. Society of Exploration Geophysicists, 654–657.
    [Google Scholar]
  4. Coates, R.T. and Charrette, E.E.
    [1993] A comparison of single scattering and finite difference synthetic seismograms in realizations of 2-D elastic random media. Geophysical Journal International, 113(2), 463–482.
    [Google Scholar]
  5. Coates, R.T. and Schoenberg, M.
    [1995] Finite-difference modeling of faults and fractures. Geophysics, 60(5), 1514–1526.
    [Google Scholar]
  6. Hicks, G.J.
    [2002] Arbitrary source and receiver positioning in finite-difference schemes using Kaiser windowed sinc functions. Geophysics, 67(1), 156–165.
    [Google Scholar]
  7. Holberg, O.
    [1987] Computational aspects of the choice of operator and sampling interval for numerical differentiation in large-scale simulation of wave phenomena. Geophysical Prospecting, 35(6), 629–655.
    [Google Scholar]
  8. Kessler, D. and Kosloff, D.
    [1991] Elastic wave propagation using cylindrical coordinates. Geophysics, 56(12), 2080–2089.
    [Google Scholar]
  9. Kosloff, D.D. and Baysal, E.
    [1982] Forward modeling by a Fourier method. Geophysics, 47(10), 1402–1412.
    [Google Scholar]
  10. Mikumo, T., Hirahara, K. and Miyatake, T.
    [1987] Dynamical fault rupture processes in heterogeneous media. Tectonophysics, 144(1–3), 19–36.
    [Google Scholar]
  11. Strutt, John William, B.R.
    [1896] The theory of sound, vol. 2. Macmillan.
    [Google Scholar]
  12. Virieux, J.
    [1986] P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method. Geophysics, 51(4), 889.
    [Google Scholar]
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