1887

Abstract

Summary

We propose a depth scaling method to mitigate the sensitivity of the elastic full waveform inversion (FWI) to random noise, which is designed introducing flexible damping factor in the Levenberg-Marquardt method. When the damping factor is constant over iterations, FWI can be severely affected by noise distributions over depths. In our depth scaling strategy, inversion starts with large damping factors, and then semi-automatically decreases according to the tendency of errors as the iteration goes on. With the flexible damping factors we can control the parameter-update regions so that shallow parts can be mainly updated in the early iterations and the parameter-update regions can move to deeper parts at the later iterations. Numerical examples for a simple graben model show that our depth scaling strategy yields more robust inversion results for noisy data than the conventional FWI using a constant damping factor.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201412459
2015-06-01
2020-03-30
Loading full text...

Full text loading...

References

  1. Levenberg, K.
    , 1944. A method for the solution of certain non-linear problems in least squares. Quarterly of Applied Mathematics2, 164–168.
    [Google Scholar]
  2. Lines, L.R. and Treitel, S.
    1984. Tutorial: A review of least-squares inversion and its application to geophysical problems. Geophysical Prospecting32, 159–186.
    [Google Scholar]
  3. Marquardt, D.W.
    1963. An algorithm for least-squares estimation of nonlinear parameters. Journal of the Society for Industrial and Applied Mathematics11, 431–441.
    [Google Scholar]
  4. Shin, C., Yoon, K., Marfurt, K.J., Park, K., Yang, D., Lim, H.Y., Chung, S. and Shin, S.
    2001a. Efficient calculation of a partial-derivative wavefield using reciprocity for seismic imaging and inversion. Geophysics66, 1856–1863.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201412459
Loading
/content/papers/10.3997/2214-4609.201412459
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