1887

Abstract

Summary

Wavefield reconstruction inversion is a new approach to waveform based inversion that helps overcome the ‘cycle skipping’ problem. However, like most waveform based inversion methods, wavefield reconstruction inversion also requires good source wavelets. Without correct source wavelets, wavefields cannot be reconstructed correctly and the velocity model cannot be updated correctly neither. In this work, we propose a source estimation method for wavefield reconstruction inversion based on the variable projection method. In this method, we reconstruct wavefields and estimate source wavelets simultaneously by solving an extended least-squares problem, which contains source wavelets. This approach does not increase the computational cost compared to conventional wavefield reconstruction inversion. Numerical results illustrates with our source estimation method we are able to recover source wavelets and obtain inversion results that are comparable to results obtained with true source wavelets.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201412588
2015-06-01
2024-03-29
Loading full text...

Full text loading...

References

  1. Aravkin, A.Y., van Leeuwen, T., Calandra, H. and Herrmann, F.J.
    [2012] Source estimation for frequency-domain FWI with robust penalties. EAGE.
    [Google Scholar]
  2. Li, M., Rickett, J. and Abubakar, A.
    [2013] Application of the variable projection scheme for frequency-domain full-waveform inversion. GEOPHYSICS, 78(6), R249–R257.
    [Google Scholar]
  3. Peters, B., Herrmann, F.J. and van Leeuwen, T.
    [2014] Wave-equation based inversion with the penalty method: adjoint-state versus wavefield-reconstruction inversion. EAGE.
    [Google Scholar]
  4. Tarantola, A. and Valette, B.
    [1982] Generalized nonlinear inverse problems solved using the least squares criterion. Reviews of Geophysics, 20(2), 219–232, ISSN 1944-9208.
    [Google Scholar]
  5. van Leeuwen, T., Aravkin, A.Y. and Herrmann, F.J.
    [2014] Comment on: “application of the variable projection scheme for frequency-domain full-waveform inversion” (f, j. rickett, and a. abubakar, geophysics, 78, no. 6, r249–r257). Geophysics, 79(3), X11–X17.
    [Google Scholar]
  6. van Leeuwen, T. and Herrmann, F.J.
    [2013] Mitigating local minima in full-waveform inversion by expanding the search space. Geophysical Journal International, 195, 661–667.
    [Google Scholar]
  7. Virieux, J. and Operto, S.
    [2009] An overview of full-waveform inversion in exploration geophysics. GEOPHYSICS, 74(6), WCC1–WCC26.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201412588
Loading
/content/papers/10.3997/2214-4609.201412588
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