1887

Abstract

Summary

Full Waveform Inversion is an appealing technique to derive Earth subsurface models. With the development of modern HPC architectures, FWI implementations should benefit from the available computing power. In this study, after a review of time and frequency-domain FWI formulations based on time-domain solver for the forward problem, we discuss the theoretical computational complexities of major steps required to build the FWI gradients. It appears that some significant steps are common to both inversion domain, while other steps remain specific. Some experimental values coming from a real 3D FWI application confirm this theoretical analysis, and show that efficient FWI implementation should focus on all these significant steps for an overall speed up.

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/content/papers/10.3997/2214-4609.20141139
2014-06-16
2024-04-18
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References

  1. Anderson, J.E., Tan, L. and Wang, D.
    [2012] Time-reversal checkpointing methods for RTM and FWI. Geophysics, 77, S93–S103.
    [Google Scholar]
  2. Burridge, R.
    [1996] Elastic waves in anisotopric media, schlumberger-Doll Research.
    [Google Scholar]
  3. Fornberg, B.
    [1988] Generation of finite difference formulas on arbitrarily spaced grids. Mathematics of Computation, 51, 699–706.
    [Google Scholar]
  4. Hicks, G.J.
    [2002] Arbitrary source and receiver positioning in finite-difference schemes using kaiser windowed sinc functions. Geophysics, 67, 156–166.
    [Google Scholar]
  5. Komatitsch, D. and Martin, R.
    [2007] An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation. Geophysics, 72(5), SM155–SM167.
    [Google Scholar]
  6. Nihei, K.T. and Li, X.
    [2007] Frequency response modelling of seismic waves using finite difference time domain with phase sensitive detection (TD-PSD). Geophysical Journal International, 169, 1069–1078.
    [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(2), 495–503.
    [Google Scholar]
  8. Sirgue, L., Etgen, T.J., Albertin, U. and Brandsberg-Dahl, S.
    [2007] System and method for 3D frequency-domain waveform inversion based on 3D time-domain forward modeling. US Patent Application Publication, US2007/0282535 A1.
    [Google Scholar]
  9. Symes, W.W.
    [2007] Reverse time migration with optimal checkpointing. Geophysics, 72(5), SM213–SM221, doi:10.1190/1.2742686.
    https://doi.org/10.1190/1.2742686 [Google Scholar]
  10. Virieux, J. and Operto, S.
    [2009] An overview of full waveform inversion in exploration geophysics. Geophysics, 74 (6), WCC1–WCC26.
    [Google Scholar]
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