1887

Abstract

Summary

We tackle the problem of non-global convergence in seismic velocity model building. We develop a modified approach for tomographic full waveform inversion (TFWI) that allows us to avoid the initially proposed nested-loop scheme and reduce the number of inversion parameters. We use the variable projection method to ensure accurate matching between predicted and observed data. By doing so, we control the cycle-skipping behavior of the data fitting term by letting the regularization term (on which we have better control) guide our objective function. We compare our method to conventional full waveform inversion (FWI) on two examples. We show convergence on a reflection problem in which FWI also converges to the true solution, and global convergence on a transmission test for which FWI cycle-skips. Our proposed algorithm inverts all model scales simultaneously and does not require any frequency-continuation approach.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201800688
2018-06-11
2020-07-08
Loading full text...

Full text loading...

References

  1. Biondi, B. and Almomin, A.
    [2014] Simultaneous inversion of full data bandwidth by tomographic full-waveform inversion. Geophysics, 79(3), WA129–WA140.
    [Google Scholar]
  2. Bunks, C., Saleck, F.M., Zaleski, S. and Chavent, G.
    [1995] Multiscale seismic waveform inversion. Geophysics, 60(5), 1457–1473.
    [Google Scholar]
  3. Golub, G.H. and Pereyra, V.
    [1973] The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. SIAM Journal on numerical analysis, 10(2), 413–432.
    [Google Scholar]
  4. Huang, Y. and Symes, W.W.
    [2015] Born waveform inversion via variable projection and shot record model extension. In: SEG Technical Program Expanded Abstracts 2015. Society of Exploration Geophysicists, 1326–1331.
    [Google Scholar]
  5. Mora, P.
    [1989] Inversion= migration+ tomography. Geophysics, 54(12), 1575–1586.
    [Google Scholar]
  6. Rickett, J.
    [2013] The variable projection method for waveform inversion with an unknown source function. Geophysical Prospecting, 61(4), 874–881.
    [Google Scholar]
  7. Sava, P. and Biondi, B.
    [2004] Wave-equation migration velocity analysis. I. Theory. Geophysical Prospecting, 52(6), 593–606.
    [Google Scholar]
  8. Squires, L.J., Stoffa, P.L. and Cambois, G.
    [1994] Borehole transmission tomography for velocity plus statics. Geophysics, 59(7), 1028–1036.
    [Google Scholar]
  9. Symes, W.W. and Kern, M.
    [1994] Inversion of reflection seismograms by differential semblance analysis: Algorithm structure and synthetic examples. Geophysical Prospecting, 42(6), 565–614.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201800688
Loading
/content/papers/10.3997/2214-4609.201800688
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