1887

Abstract

Summary

Basically, FWI is implemented by minimizing an objective function consisting of data residuals. However, many variants of conventional FWI are suggested to overcome or mitigate cycle-skipping problem by extending model space. In these methods, the most critical issue is to derive a convenient way to compute gradient of objective function and apply gradient-descent optimization. In this study, we introduce an inversion method which uses the inverse scattering concept. We calculate virtual scattering sources by solving a least-squares problem consisting of numerical Green's functions and scattered seismic wavefields. The velocity model is updated by the gradient which can be obtained by minimizing the norm of the virtual scattering sources. Also, we could apply the full Newton method with simple calculations because the hessian has only diagonal components.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201901004
2019-06-03
2020-04-01
Loading full text...

Full text loading...

References

  1. Abubakar, A., Hu, W., Van Den Berg, P. M., and Habashy, T. M.
    [2008]. A finite-difference contrast source inversion method. Inverse Problems, 24 (6), 065004.
    [Google Scholar]
  2. Huang, G., Nammour, R., and Symes, W.
    [2017]. Full-waveform inversion via source-receiver extension. Geophysics, 82 (3), R153–R171.
    [Google Scholar]
  3. Kwak, S., Kim, Y., and Shin, C.
    [2014]. Frequency-domain direct waveform inversion based on perturbation theory. Geophysical Journal International, 197 (2), 987–1001.
    [Google Scholar]
  4. Shin, C., and Cha, Y. H.
    [2008]. Waveform inversion in the Laplace domain. Geophysical Journal International, 173 (3), 922–931.
    [Google Scholar]
  5. [2009. Waveform inversion in the Laplace—Fourier domain. Geophysical Journal International, 177 (3), 1067–1079.
    [Google Scholar]
  6. Shin, C., Kwon, J., and Park, Y.
    [2015]. The strategy for iterative direct waveform inversion (IDWI). SEG Technical Program Expanded Abstracts 2015, Expanded Abstracts, 5310–5316.
    [Google Scholar]
  7. Van Leeuwen, T., and Herrmann, F. J.
    [2013]. Mitigating local minima in full-waveform inversion by expanding the search space. Geophysical Journal International, 195 (1), 661–667.
    [Google Scholar]
  8. Warner, M., and Guasch, L.
    [2016]. Adaptive waveform inversion: Theory. Geophysics, 81 (6), R429–R445.
    [Google Scholar]
  9. Wu, R. S., Luo, J., and Wu, B.
    [2014]. Seismic envelope inversion and modulation signal model. Geophysics, 79 (3), WA13–WA24.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201901004
Loading
/content/papers/10.3997/2214-4609.201901004
Loading

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error