1887

Abstract

Summary

In elastic full-waveform inversion, the medium parameters are updated iteratively by incrementing them with the derivatives of the misfit functional with respect to each of the medium parameters.

The efficient implementation of the derivative computations require large amount of computer memory storage.

The large requirements in terms of storage is one the main barriers for the application of elastic full-waveform inversion to large scale 3D problems.

In this paper, we propose and test a strategy based on reverse-time wavefield reconstruction using the Kirchhoff integral that effectively reduces the storage requirements, at the cost of a factor of two increase in the computational runtime.

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/content/papers/10.3997/2214-4609.201412587
2015-06-01
2024-04-28
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References

  1. Chavent, G. and Lemonnier, P.
    [1974] Identification de la non-linéarité d’une équation parabolique quasilinéaire. Applied Mathematics & Optimization, 1, 121–162.
    [Google Scholar]
  2. Griewank, A. and Walther, A.
    [2000] Algorithm 799: Revolve: An implementation of checkpointing for the reverse or adjoint mode of computational differentiation. ACM Trans. Math. Softw., 26(1), 19–45, ISSN 00983500, doi:10.1145/347837.347846.
    https://doi.org/10.1145/347837.347846 [Google Scholar]
  3. 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, ISSN 1365-2478, doi:10.1111/j.1365‑2478.1987.tb00841.x.
    https://doi.org/10.1111/j.1365-2478.1987.tb00841.x [Google Scholar]
  4. Lions, J.L. and Magenes, E.
    [1972] Nonhomogeneous boundary value problems and applications. Springer Verlag, Berlin.
    [Google Scholar]
  5. Mittet, R.
    [1994] Implementation of the Kirchhoff integral for elastic waves in staggered-grid modeling schemes. Geophysics, 59(12), 1894–1901, doi:10.1190/1.1443576.
    https://doi.org/10.1190/1.1443576 [Google Scholar]
  6. Mora, P.
    [1987] Nonlinear two-dimensional elastic inversion of multioffset seismic data. Geophysics, 52(9), 1211–1228, doi:10.1190/1.1442384.
    https://doi.org/10.1190/1.1442384 [Google Scholar]
  7. Plessix, R.E.
    [2006] A review of the adjoint-state method for computing the gradient of a functional with geophysical applications. Geophysical Journal International, 167, 495–503.
    [Google Scholar]
  8. Virieux, J. and Operto, S.
    [2009] An overview of full-waveform inversion in exploration geophysics. Geophysics, 74(6), WCC1–WCC26, doi:10.1190/1.3238367.
    https://doi.org/10.1190/1.3238367 [Google Scholar]
  9. Virieux, J.
    [1986] P-SV wave propagation in heterogeneous media; velocity-stress finite-difference method. Geophysics, 51(4),
    [Google Scholar]
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