1887

Abstract

Summary

Wavefield reconstruction inversion (WRI) avoids cycle-skipping in full-waveform inversion (FWI) by computing wavefields with wave-equation errors (i.e., source extensions) such that simulated data closely match observed data with inaccurate velocity models. %However, the implementation of time-domain WRI faces a practical challenge because the source extension in the right-hand side of the wave equation depends on the unknown data residuals.

Recent studies show that source extensions are the least-squares solutions of the scattered-data (i.e., FWI data residuals) fitting problem for contrast-source estimation. As a result, source extensions are computed by propagating backward in time the deblurred FWI data residuals, where the deblurring operator is the inverse of the damped data-domain Hessian of the contrast-source estimation problem. We first estimate an approximate deblurring operator with matching filter, which can be used as a preconditioner for iterative refinement of the source extensions with a conjugate gradient method. Numerical tests validate the proposed scheme for accurate reconstruction of contrasted media from crude initial model.

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/content/papers/10.3997/2214-4609.202210622
2022-06-06
2024-04-28
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References

  1. Aghamiry, H.S., Gholami, A. and Operto, S. [2020] Accurate and efficient data-assimilated wavefield reconstruction in the time domain. Geophysics, 85(2), A7–A12.
    [Google Scholar]
  2. Aoki, N. and Schuster, G.T. [2009] Fast least-squares migration with a deblurring filter. Geophysics, 74(6), WCA83–WCA93.
    [Google Scholar]
  3. Gauthier, O., Virieux, J. and Tarantola, A. [1986] Two-dimensional nonlinear inversion of seismic waveforms: numerical results. Geophysics, 51(7), 1387–1403.
    [Google Scholar]
  4. Gholami, A., Aghamiry, H. and Operto, S. [2021] Clarifying some issues on Extended FWI: scattered-field equation, time reversal and source reconstruction. In: SEG 2021 Annual Meeting, 2021.
    [Google Scholar]
  5. Gholami, A., Aghamiry, H.S. and Operto, S. [2022] Extended full waveform inversion in the time domain by the augmented Lagrangian method. Geophysics, 87(1), R63–R77.
    [Google Scholar]
  6. Huang, G., Nammour, R. and Symes, W.W. [2018] Source-independent extended waveform inversion based on space-time source extension: Frequency-domain implementation. Geophysics, 83(5), R449–R461.
    [Google Scholar]
  7. Liu, Q. and Peter, D. [2018] One-step data-domain least-squares reverse-time migration. Geophysics, 83(4), R361–R368.
    [Google Scholar]
  8. Nocedal, J. and Wright, S.J. [2006] Numerical Optimization. Springer, 2nd edn.
    [Google Scholar]
  9. van Leeuwen, T. and Herrmann, F. [2016] A penalty method for PDE-constrained optimization in inverse problems. Inverse Problems, 32(1), 1–26.
    [Google Scholar]
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