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Abstract

Summary

Migration Velocity Analysis is a technique to determine the large-scale velocity structure of the subsurface from the analysis of reflected data. We review here the Differential Semblance Optimization version (DSO-MVA) that estimates the focusing in extended panels. Theoretical arguments ensure a convergence to the global optimal with a local optimization process. In practice, it faces a number of challenges: reflected events should be first extracted from the observed data; the computational cost is currently expensive due to the number of wavefields; a proper amplitude processing is needed before the evaluation of the focusing. The recently developed approximate inverses for replacing the standard adjoint images have played a significant role. In its current shape, DSO-MVA ensures focused images as well as a (linear) data fit at convergence. Recent researches consider a fully non-linear imaging tool, while preserving the DSO-MVA convergence properties.

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2024-06-10
2026-02-19
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References

  1. Barnier, G., Biondi, E., Clapp, R.G and Biondi, B. [2022] Full waveform inversion by model extension: theory, design and optimization.
    [Google Scholar]
  2. Chauris, H. and Cocher, E. [2017] From migration to inversion velocity analysis.Geophysics, 82(3), S207–S223.
    [Google Scholar]
  3. Chauris, H. and Cocher, E. [2018] Review of different expressions for the extended Born approximate inverse operator. In: Expanded Abstracts.WS07.
    [Google Scholar]
  4. Chauris, H. and Farshad, M. [2023] Seismic differential semblance-oriented Migration Velocity Analysis - status and way forward.Geophysics, 88(6), U81–U100.
    [Google Scholar]
  5. Chauris, H., Lameloise, C. and Donno, D. [2013] Migration Velocity Analysis with reflected and transmitted waves. In: Expanded Abstracts. We-P01-01.
    [Google Scholar]
  6. Cocher, E., Chauris, H. and Plessix, R.E. [2018] Towards a stable Iterative MVA scheme.Geophysics, 83(5),R475–R495.
    [Google Scholar]
  7. Dafni, R. and Symes, W.W. [2018] Asymptotic inversion of the variable density acoustic model. In: Expanded Abstracts. Society of Exploration Geophysicists, 570–574.
    [Google Scholar]
  8. Farshad, M. and Chauris, H. [2020] From constant to variable density inverse extended Born modelling.Geophysics, 85(4), S217–S232.
    [Google Scholar]
  9. Farshad, M. and Chauris, H. [2021] From acoustic to elastic inverse extended Born modeling: a first insight in the marine environment.Geophysics, 86(6), R939–R957.
    [Google Scholar]
  10. Farshad, M., Chauris, H. and Noble, M. [2022] The importance of including density in multiparameter asymptotic linearized direct waveform inversion: a case study from the Eastern Nankai Trough.Geophysical Journal International, 228(2), 1373–1391.
    [Google Scholar]
  11. Fei, W. and Williamson, P. [2010] On the gradient artifacts in migration velocity analysis based on Differential Semblance Optimization. In: Expanded Abstracts. Soc. Expl. Geophys., 4071–4076.
    [Google Scholar]
  12. Fu, L. and Symes, W.W. [2017] An adaptive multiscale algorithm for efficient extended waveform inversion.Geophysics, 82(3), R183–R197.
    [Google Scholar]
  13. Hou, J. and Symes, W.W. [2015] An approximate inverse to the extended Born modeling operator.Geophysics, 80(6), R331–R349.
    [Google Scholar]
  14. Hou, J. and Symes, W.W. [2017] An alternative formula for approximate extended Born inversion.Geophysics, 82(1), S1–S8.
    [Google Scholar]
  15. Huang, Y. [2016] Born waveform inversion in shot coordinate domain. Ph.D. thesis, Rice University.
    [Google Scholar]
  16. Kern, M. and Symes, W.W. [1994] Inversion of reflection seismograms by differential semblance analysis: Algorithm structure and synthetic examples.Geophysical Prospecting, 99, 565–614.
    [Google Scholar]
  17. ten Kroode, A.P.E. [2012] A wave-equation-based Kirchhoff operator.Inverse Problems, 28, 115013.
    [Google Scholar]
  18. Lambare, G. [2018] Ray versus full wave velocity model building: status and challenges. In: Expanded Abstracts.WS01.
    [Google Scholar]
  19. Li, Y. and Chauris, H. [2018] Coupling direct inversion to common-shot image-domain velocity analysis.Geophysics, 83(5),R497–R514.
    [Google Scholar]
  20. Martins de Assis, C.A., Chauris, H., Audebert, F and Williamson, P. [2024] Investigating Hessian-based inversion velocity analysis.Geophysics, 10.1190/geo2022‑0689.1.
    https://doi.org/10.1190/geo2022-0689.1 [Google Scholar]
  21. Mulder, W.A. [2014] Subsurface offset behaviour in velocity analysis with extended reflectivity images.Geophysical Prospecting, 62(1), 17–33.
    [Google Scholar]
  22. Plessix, R.E. [2006] A review of the adjoint-state method for computing the gradient of a functional with geophysical applications.Geophysical Journal International, 167, 495–503.
    [Google Scholar]
  23. Sava, P. and Biondi, B. [2004] Wave-equation migration velocity analysis. I. theory.Geophysical Prospecting, 52, 593–606.
    [Google Scholar]
  24. Shen, P. and Symes, W.W. [2015] Horizontal contraction in image domain for velocity inversion.Geophysics, 80(3),R95–R110.
    [Google Scholar]
  25. Shen, PS. [2013] Subsurface Focusing Measurement of Diving Waves and its Application to Reflection Tomography. In: Expanded Abstracts. Th-10-05.
    [Google Scholar]
  26. Shen, Y., Biondi, B. and Clapp, R. [2018] Q-model building using one-way wave-equation migration Q analysis - Part 1: Theory and synthetic test.Geophysics, 83(2), S93–S109.
    [Google Scholar]
  27. Soubaras, R. and Gratacos, B. [2017] Mitigating the gradient artefacts of Migration Velocity Analysis by Gauss-Newton update. In: Expanded Abstracts.
    [Google Scholar]
  28. Soubaras, R. and Gratacos, B. [2018] Migration Velocity Analysis with Multiple Modeling: an Inversion Toolbox. In: Expanded Abstracts.
    [Google Scholar]
  29. Stolk, C.C. and Symes, W.W. [2003] Smooth objective functionals for seismic velocity inversion.Wave Motion, 32, 267–290.
    [Google Scholar]
  30. Symes, W.W. [2008] Migration velocity analysis and waveform inversion.Geophysical Prospecting, 56, 765–790.
    [Google Scholar]
  31. Symes, W.W. and Carazzone, J.J. [1991] Velocity inversion by Differential Semblance Optimization.Geophysics, 56, 654–663.
    [Google Scholar]
  32. Virieux, J. and Operto, S. [2009] An overview of full-waveform inversion in exploration geophysics.Geophysics, 74(6), WCC127–WCC152.
    [Google Scholar]
  33. Vyas, M. and Tang, Y [2010] Gradients for wave-equation migration velocity analysis. In: 80th SEG Technical Program Expanded Abstracts.4077–4081.
    [Google Scholar]
  34. Yang, T., Shragge, J. and Sava, PC. [2013] Illumination compensation for image-domain wavefield tomography.Geophysics, 78(5), U65–U76.
    [Google Scholar]
  35. Zhou, T., Chauris, H. and Audebert, F [2020] Impact of user parameters in inversion velocity analysis.Geophysical Prospecting, 68(5), 1492–1508.
    [Google Scholar]
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