1887

Abstract

Summary

Phase wrapping is one of main causes of the local minima problem in waveform inversion. However, the unwrapping process for 2D phase maps that includes singular points (residues) is complicated and does not guarantee unique solutions. We employ an exponential damping to eliminate the residues in the 2D phase maps, which makes the 2D phase unwrapping process easy and produce a unique solution. A recursive inversion process using the damped unwrapped phase provides an opportunity to invert for smooth background updates first, and higher resolution updates later as we reduce the damping. We also apply a Gaussian filter to the gradient to mitigate the edge artifacts resulting from the narrow shape of the sensitivity kernels at high damping. Numerical examples demonstrate that our unwrapped phase inversion with damping and a Gaussian filter produces good convergent results even for a 3Hz single frequency of Marmousi dataset and with a starting model far from the true model.

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/content/papers/10.3997/2214-4609.20140702
2014-06-16
2024-03-19
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References

  1. Choi, Y. and Alkhalifah, T.
    [2011] Frequency-domain waveform inversion using the unwrapped phase. 81st Annual International Meeting, SEG, Expanded Abstracts, 2576–2580.
    [Google Scholar]
  2. [2013] Frequency-domain waveform inversion using the phase derivative. Geophysical Journal International, 195, 1904–1916.
    [Google Scholar]
  3. Djebbi, R. and Alkhalifah, T.
    [2013] Wave equation tomography using the unwrapped phase - analysis of the traveltime sensitivity kernels. 75th EAGE Conference & Exhibition, Expanded Abstracts, London, Tu0707.
    [Google Scholar]
  4. Ghiglia, D.C. and Pritt, M.D.
    [1998] Two-dimensional phase unwrapping: Theory, algorithms, and software. John & Sons, Inc.
    [Google Scholar]
  5. Shah, N.K., Warner, M.R., Washbourne, J.K., Guasch, L. and Umpleby, A.P.
    [2012] A phase-unwrapped solution for overcoming a poor starting model in full-wavefield inversion. 74th EAGE Conference & Exhibition, Expanded Abstracts, Copenhagen, P014.
    [Google Scholar]
  6. Shin, C. and Cha, Y.H.
    [2008] Waveform inversion in the Laplace domain. Geophysical Journal International, 173, 922–931.
    [Google Scholar]
  7. Shin, C. and Min, D.J.
    [2006] Waveform inversion using a logarithmic wavefield. Geophysics, 71, R31–R42.
    [Google Scholar]
  8. Virieux, J. and Operto, S.
    [2009] An overview of full-waveform inversion in exploration geophysics. Geophyscis, 74, WCC1–WCC26.
    [Google Scholar]
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