1887

Abstract

Summary

Integrating surface wave information is challenging for land seismic full waveform inversion. Cycle-skipping of surface waves can easily occur due to their highly dispersive and oscillating properties. While this issue can be mitigated using wider basin objective functions, a more severe difficulty is related to the unbalanced amplitude distribution between surface waves and body waves. The energetic surface waves dominate the objective function and drive the inversion to update only the shallow structure. The contribution from body waves is masked and the deep structures are not recovered. In a recent study, we have shown how an optimal-transport based function can help mitigating this issue, providing naturally a better balance between events (KR-OT). Here, we apply a newly introduced OT based misfit function, relying on a graph space approach (GS-OT), in this framework of elastic FWI for land data. GS-OT better handles cycle skipping than KR-OT. We show here that it also helps to balance the amplitude of seismic events. We design a practical workflow based on the GS-OT misfit function, coupled with an on-the-fly source estimation wavelet and a Gaussian-time window strategy. The method is applied to a synthetic case study from the SEAM II Foothill model.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.202012105
2021-10-18
2024-04-28
Loading full text...

Full text loading...

References

  1. Bertsekas, D.P. and Castanon, D. [1989] The auction algorithm for the transportation problem.Annals of Operations Research, 20(1), 67–96.
    [Google Scholar]
  2. Borisov, D., Modrak, R., Rusmanugroho, H., Yuan, Y., Simons, F., Tromp, J. and Gao, F. [2016] Spectral-element based 3D elastic full-waveform inversion of surface waves in the presence of complex topography using an envelope-based misfit function. In: SEG Technical Program Expanded Abstracts 2016.
    [Google Scholar]
  3. He, W., Brossier, R., Métivier, L. and Plessix, R.É. [2019] Land seismic multi-parameter full waveform inversion in elastic VTI media by simultaneously interpreting body waves and surface waves with an optimal transport based objective function.Geophysical Journal International, 219(3), 1970–1988.
    [Google Scholar]
  4. He, W., Brossier, R., Métivier, L. and Virieux, J. [2018] A practical workflow of full waveform inversion to process land seismic data: Synthetic study. In: Expanded Abstracts, 80th Annual EAGE Meeting (Copenhagen).
    [Google Scholar]
  5. Masoni, I., Brossier, R., Virieux, J. and Boelle, J. [2013] Alternative Misfit Functions for FWI Applied to Surface Waves. In: EAGE Technical Program Expanded Abstracts 2013, EAGE, Th P10 13.
    [Google Scholar]
  6. Métivier, L. and Brossier, R. [2016] The SEISCOPE optimization toolbox: A large-scale nonlinear optimization library based on reverse communication.Geophysics, 81(2), F11–F25.
    [Google Scholar]
  7. Métivier, L., Brossier, R., Mérigot, Q. and Oudet, E. [2019] A graph space optimal transport distance asa generalization of Lp distances: application to a seismic imaging inverse problem.Inverse Problems, 35(8), 085001.
    [Google Scholar]
  8. Nocedal, J. [1980] Updating Quasi-Newton Matrices With Limited Storage.Mathematics of Computation, 35(151), 773–782.
    [Google Scholar]
  9. Pérez Solano, C., Donno, D. and Chauris, H. [2014] Alternative waveform inversion for surface wave analysis in 2-D media.Geophysical Journal international, 198, 1359–1372.
    [Google Scholar]
  10. Plessix, R.E. and Cao, Q. [2011] A parametrization study for surface seismic full waveform inversion in an acoustic vertical transversely isotropic medium.Geophysical Journal International, 185, 539–556.
    [Google Scholar]
  11. Trinh, P.T., Brossier, R., Métivier, L., Tavard, L. and Virieux, J. [2019] Efficient 3D time-domain elastic and viscoelastic Full Waveform Inversion using a spectral-element method on flexible Cartesian-based mesh.Geophysics, 84(1), R75–R97.
    [Google Scholar]
  12. Trinh, P.T., Brossier, R., Métivier, L., Virieux, J. and Wellington, P. [2017] Bessel smoothing filter for spectral element mesh.Geophysical Journal International, 209(3), 1489–1512.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.202012105
Loading
/content/papers/10.3997/2214-4609.202012105
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