1887
  1. Home
  2. Conferences
  3. Conference Proceedings
  4. 81st EAGE Conference and Exhibition 2019
  5. Conference paper

Abstract

Summary

The wavefield is often reconstructed through solving a wave equation corresponding to an active source and using our best available medium parameters to reproduce the data.

Alternatively, if the medium parameters are unknown, the wavefield can be inverted, along with the velocity model, in an extended optimization problem. In this case, the process requires a matrix inversion at practically every iteration. Alternatively, we formulate a bilinear optimization problem with respect to the wavefield and a modified source function, as independent variables. We specifically recast the wave equation so that velocity perturbations are included in this modified source function (that includes secondary sources), and thus, it represents the velocity perturbations implicitly. The optimization includes a measure of the wavefield's fit to the data at sensor locations and the wavefield, as well as the modified source function, compliance with a wave equation corresponding to the background model. One of the features of this background model wave equation is that it provides opportunities for efficient solutions, and it extends the source to accommodate perturbations missing in the background medium. Meanwhile, the velocity perturbations can be extracted in a separate step via direct division. We demonstrate these features on a simple two-anomalies model.

© EAGE Publications BV
Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201900879
2019-06-03
2025-01-23

  • From This Site

    /content/papers/10.3997/2214-4609.201900879
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Abubakar, A., Hu, W., Habashy, T.M. and van den Berg, P.M.
    [2009] Application of the finite-difference contrast-source inversion algorithm to seismic full-waveform data. GEOPHYSICS, 74(6), WCC47–WCC58.
     [Google Scholar]
  2. Alkhalifah, T.
    [2018] Linear wavefield optimization using a modified source. Communications in computational physics, accepted.
     [Google Scholar]
  3. Boyd, S., Parikh, N., Chu, E., Peleato, B. and Eckstein, J.
    [2011] Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers. Found. Trends Mach. Learn., 3(1), 1–122.
     [Google Scholar]
  4. Bunks, C., Saleck, F., Zaleski, S. and Chavent, G.
    [1995] Multiscale seismic waveform inversion. Geophysics, 60, 1457–1473.
     [Google Scholar]
  5. Goldstein, T. and Osher, S.
    [2009] The Split Bregman Method for L1-Regularized Problems. SIAM Journal on Imaging Sciences, 2(2), 323–343.
     [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(1), 661–667.
     [Google Scholar]
  7. Pratt, R.G., Song, Z.M., Williamson, P. and Warner, M.
    [1996] Two-dimensional velocity models from wide-angle seismic data by wavefield inversion. Geophysical Journal International, 124(2), 323–340.
     [Google Scholar]
  8. Wang, C., Yingst, D., Farmer, P., Jones, I., Martin, G. and Leveille, J.
    [2017] Reconstructed full-waveform inversion with the extended source. SEG Technical Program Expanded Abstracts 2017, 1449–1453.
     [Google Scholar]
  9. Wang, C., Yingst, D., Farmer, P. and Leveille, J.
    [2016] Full-waveform inversion with the reconstructed wavefield method. SEG Technical Program Expanded Abstracts 2016, 1237–1241.
     [Google Scholar]
/content/papers/10.3997/2214-4609.201900879
Loading
An Efficient Wavefield Inversion
Conference Proceedings 2019, 1 (2019); https://doi.org/10.3997/2214-4609.201900879
/content/papers/10.3997/2214-4609.201900879
/content/papers/10.3997/2214-4609.201900879
Loading

Data & Media loading...

Most Cited This Month Most Cited RSS feed

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