1887
Volume 49, Issue 4
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

[

Full waveform inversion (FWI) is a method that is used to reconstruct velocity models of the subsurface. However, this approach suffers from the local minimum problem during optimisation procedures. The local minimum problem is caused by several issues (e.g. lack of low-frequency information and an inaccurate starting model), which can create obstacles to the practical application of FWI with real field data. We applied a 4-phase FWI in a sequential manner to obtain the correct velocity model when a dataset lacks low-frequency information and the starting velocity model is inaccurate. The first phase is Laplace-domain FWI, which inverts the large-scale velocity model. The second phase is Laplace-Fourier-domain FWI, which generates a large- to mid-scale velocity model. The third phase is a frequency-domain FWI that uses a logarithmic wavefield; the inverted velocity becomes more accurate during this step. The fourth phase is a conventional frequency-domain FWI, which generates an improved velocity model with correct values. The detailed methods of applying each FWI phase are explained, and the proposed method is validated via numerical tests with a SEG/EAGE salt synthetic dataset and Gulf of Mexico field dataset. The numerical tests show that the 4-phase FWI inverts the velocity correctly despite the lack of low-frequency information and an inaccurate starting velocity model both in synthetic data and field data.

,

The low-frequency information and correct starting velocity are important for full waveform inversion (FWI). However, obtaining low-frequency information and accurate starting velocity from the field seismic exploration is difficult. This paper suggests a 4-phase FWI to invert the correct velocity model when a dataset lacks low-frequency information and accurate starting velocity.

]
ASEG
Loading

Article metrics loading...

/content/journals/10.1071/EG17007
2018-08-01
2026-01-13

  • From This Site

    /content/journals/10.1071/EG17007
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Bae H. S. Pyun S. Chung W. Kang S.-G. Shin C. 2012 Frequency-domain acoustic-elastic coupled waveform inversion using the Gauss-Newton conjugate gradient method: Geophysical Prospecting 60 413 432 10.1111/j.1365‑2478.2011.00993.x
    https://doi.org/10.1111/j.1365-2478.2011.00993.x [Google Scholar]
  2. Ben-Hadj-Ali H. Operto S. Virieux J. 2011 An efficient frequency-domain full waveform inversion method using simultaneous encoded sources: Geophysics 76 R109 R124 10.1190/1.3581357
    https://doi.org/10.1190/1.3581357 [Google Scholar]
  3. Brenders A. Pratt R. 2007 Full waveform tomography for lithosperic imaging: results from a blind test in a realistic crustal model: Geophysical Journal International 168 133 151 10.1111/j.1365‑246X.2006.03156.x
    https://doi.org/10.1111/j.1365-246X.2006.03156.x [Google Scholar]
  4. Brossier R. Operto S. Virieux J. 2009 Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion: Geophysics 74 WCC105 WCC118 10.1190/1.3215771
    https://doi.org/10.1190/1.3215771 [Google Scholar]
  5. Bunks C. Saleck F. Zaleski S. Chavent G. 1995 Multiscale seismic waveform inversion: Geophysics 60 1457 1473 10.1190/1.1443880
    https://doi.org/10.1190/1.1443880 [Google Scholar]
  6. Chi B. Dong L. Liu Y. 2014 Full waveform inversion method using envelope objective function without low frequency data: Journal of Applied Geophysics 109 36 46 10.1016/j.jappgeo.2014.07.010
    https://doi.org/10.1016/j.jappgeo.2014.07.010 [Google Scholar]
  7. Choi Y. Alkhalifah T. 2013 Frequency-domain waveform inversion using the phase derivative: Geophysical Journal International 195 1904 1916 10.1093/gji/ggt351
    https://doi.org/10.1093/gji/ggt351 [Google Scholar]
  8. Chung W. Shin C. Pyun S. 2010 2D elastic waveform inversion in the Laplace domain: Bulletin of the Seismological Society of America 100 3239 3249 10.1785/0120100061
    https://doi.org/10.1785/0120100061 [Google Scholar]
  9. Crase E. Pica A. Noble M. McDonald J. Tarantola A. 1990 Robust elastic nonlinear waveform inversion: application to real data: Geophysics 55 527 538 10.1190/1.1442864
    https://doi.org/10.1190/1.1442864 [Google Scholar]
  10. Fei, T. W., Luo, Y., Qin, F., and Kelamis, P. G., 2012, Full waveform inversion without low frequencies: a synthetic study: SEG Technical Program Expanded Abstracts, 1–5.
  11. Gauthier O. Virieux J. Tarantola A. 1986 Two-dimensional nonlinear inversion of seismic waveforms: numerical results: Geophysics 51 1387 1403 10.1190/1.1442188
    https://doi.org/10.1190/1.1442188 [Google Scholar]
  12. Ha W. Shin C. 2012 Proof of the existence of both zero- and low-frequency information in a damped wavefield: Journal of Applied Geophysics 83 96 99 10.1016/j.jappgeo.2012.05.009
    https://doi.org/10.1016/j.jappgeo.2012.05.009 [Google Scholar]
  13. Ha W. Shin C. 2013 Why do Laplace-domain waveform inversions yield long-wavelength results? Geophysics 78 R167 R173 10.1190/geo2012‑0365.1
    https://doi.org/10.1190/geo2012-0365.1 [Google Scholar]
  14. Ha T. Chung W. Shin C. 2009 Waveform inversion using a back-propagation algorithm and a Huber function norm: Geophysics 74 R15 R24 10.1190/1.3112572
    https://doi.org/10.1190/1.3112572 [Google Scholar]
  15. Ha W. Chung W. Park E. Shin C. 2012 a 2-D acoustic Laplace-domain waveform inversion of marine field data: Geophysical Journal International 190 421 428 10.1111/j.1365‑246X.2012.05487.x
    https://doi.org/10.1111/j.1365-246X.2012.05487.x [Google Scholar]
  16. Ha W. Chung W. Shin C. 2012 b Pseudo-Hessian matrix for the logarithmic objective function in full waveform inversion: Journal of Seismic Exploration 21 201 214
    [Google Scholar]
  17. Jun H. Kim Y. Shin J. Shin C. Min D.-J. 2014 Laplace-Fourier-domain elastic full-waveform inversion using time-domain modeling: Geophysics 79 R195 R208 10.1190/geo2013‑0283.1
    https://doi.org/10.1190/geo2013-0283.1 [Google Scholar]
  18. Jun H. Kwon J. Shin C. Zhou H. Cogan M. 2017 Regularized Laplace-Fourier-domain full waveform inversion using a weighted l 2 objective function: Pure and Applied Geophysics 174 955 980 10.1007/s00024‑016‑1398‑5
    https://doi.org/10.1007/s00024-016-1398-5 [Google Scholar]
  19. Kamei R. Pratt R. G. Tsuji T. 2013 On acoustic waveform tomography of wide-angle OBS data-strategies for pre-conditioning and inversion: Geophysical Journal International 194 1250 1280 10.1093/gji/ggt165
    https://doi.org/10.1093/gji/ggt165 [Google Scholar]
  20. Kang S.-G. Bae H. S. Shin C. 2012 Laplace–Fourier-domain waveform inversion for fluid–solid media: Pure and Applied Geophysics 169 2165 2179 10.1007/s00024‑012‑0467‑7
    https://doi.org/10.1007/s00024-012-0467-7 [Google Scholar]
  21. Kim Y. Cha Y. Shin C. Ko S. Seo Y. 2009 Improved logarithmic waveform inversion considering the power-spectrum of the wavefield: Journal of Seismic Exploration 18 215 228
    [Google Scholar]
  22. Kim Y. Cho H. Min D.-J. Shin C. 2011 Comparison of frequency-selection strategies for 2D frequency-domain acoustic waveform inversion: Pure and Applied Geophysics 168 1715 1727 10.1007/s00024‑010‑0196‑8
    https://doi.org/10.1007/s00024-010-0196-8 [Google Scholar]
  23. Kim Y. Shin C. Calandra H. Min D.-J. 2013 An algorithm for 3D acoustic time-Laplace-Fourier-domain hybrid full waveform inversion: Geophysics 78 R151 R166 10.1190/geo2012‑0155.1
    https://doi.org/10.1190/geo2012-0155.1 [Google Scholar]
  24. Lailly, P., 1983, The seismic inverse problem as a sequence of before stack migrations: Conference on Inverse Scattering, Theory and Application, SIAM, Expanded Abstracts, 206–220.
  25. Marfurt K. J. 1984 Accuracy of finite-difference and finite-element modeling in the scalar and elastic wave equations: Geophysics 49 533 549 10.1190/1.1441689
    https://doi.org/10.1190/1.1441689 [Google Scholar]
  26. Marquardt D. W. 1963 An algorithm for least-squares estimation of nonlinear parameters: Journal of the Society for Industrial and Applied Mathematics 11 431 441
    [Google Scholar]
  27. Mora P. 1987 Nonlinear two-dimensional elastic inversion of multioffset seismic data: Geophysics 52 1211 1228 10.1190/1.1442384
    https://doi.org/10.1190/1.1442384 [Google Scholar]
  28. Pratt R. G. 1999 Seismic waveform inversion in the frequency domain part 1: theory and verification in a physical scale model: Geophysics 64 888 901 10.1190/1.1444597
    https://doi.org/10.1190/1.1444597 [Google Scholar]
  29. Pratt R. G. Shin C. Hicks G. J. 1998 Gauss–Newton and full Newton methods in frequency–space seismic waveform inversion: Geophysical Journal International 133 341 362 10.1046/j.1365‑246X.1998.00498.x
    https://doi.org/10.1046/j.1365-246X.1998.00498.x [Google Scholar]
  30. Rivera, C. A., Duquet, B., and Williamson, P., 2015, Laplace-Fourier FWI as an alternative model building toll for depth imaging studies: application to marine carbonates field: SEG Technical Program Expanded Abstracts, 1054–1058.
  31. Schiemenz A. Igel H. 2013 Accelerated 3-D full-waveform inversion using simultaneously encoded sources in the time domain: application to Valhall ocean-bottom cable data: Geophysical Journal International 195 1970 1988 10.1093/gji/ggt362
    https://doi.org/10.1093/gji/ggt362 [Google Scholar]
  32. Shin C. Cha Y. 2008 Waveform inversion in the Laplace domain: Geophysical Journal International 173 922 931 10.1111/j.1365‑246X.2008.03768.x
    https://doi.org/10.1111/j.1365-246X.2008.03768.x [Google Scholar]
  33. Shin C. Cha Y. 2009 Waveform inversion in the Laplace-Fourier domain: Geophysical Journal International 177 1067 1079 10.1111/j.1365‑246X.2009.04102.x
    https://doi.org/10.1111/j.1365-246X.2009.04102.x [Google Scholar]
  34. Shin C. Min D.-J. 2006 Waveform inversion using a logarithmic wavefield: Geophysics 71 R31 R42 10.1190/1.2194523
    https://doi.org/10.1190/1.2194523 [Google Scholar]
  35. Shin C. Jang S. Min D.-J. 2001 Improved amplitude preservation for prestack depth migration by inverse scattering theory: Geophysical Prospecting 49 592 606 10.1046/j.1365‑2478.2001.00279.x
    https://doi.org/10.1046/j.1365-2478.2001.00279.x [Google Scholar]
  36. Shin C. Pyun S. Bednar J. 2007 Comparison of waveform inversion part 1: conventional wavefield vs logarithmic wavefield: Geophysical Prospecting 55 449 464 10.1111/j.1365‑2478.2007.00617.x
    https://doi.org/10.1111/j.1365-2478.2007.00617.x [Google Scholar]
  37. Shin C. Koo N.-H. Cha Y. Park K.-P. 2010 Sequentially ordered single-frequency 2-D acoustic waveform inversion in the Laplace-Fourier domain: Geophysical Journal International 181 935 950
    [Google Scholar]
  38. Shin J. Ha W. Jun H. Min D.-J. Shin C. 2014 3D Laplace-domain full waveform inversion using a single GPU card: Computers & Geosciences 67 1 13 10.1016/j.cageo.2014.02.006
    https://doi.org/10.1016/j.cageo.2014.02.006 [Google Scholar]
  39. Sirgue L. Pratt R. G. 2004 Efficient waveform inversion and imaging: a strategy for selecting temporal frequencies: Geophysics 69 231 248 10.1190/1.1649391
    https://doi.org/10.1190/1.1649391 [Google Scholar]
  40. Tarantola A. 1984 Inversion of seismic reflection data in the acoustic approximation: Geophysics 49 1259 1266 10.1190/1.1441754
    https://doi.org/10.1190/1.1441754 [Google Scholar]
  41. Xu K. McMechan G. A. 2014 2D frequency-domain elastic full-waveform inversion using time-domain modeling and a multistep-length gradient approach: Geophysics 79 R41 R53 10.1190/geo2013‑0134.1
    https://doi.org/10.1190/geo2013-0134.1 [Google Scholar]
  42. Yoon B. J. Ha W. Son W. Shin C. Calandra H. 2012 3D acoustic modelling and waveform inversion in the Laplace domain for an irregular sea floor using the Gaussian quadrature integration method: Journal of Applied Geophysics 87 107 117 10.1016/j.jappgeo.2012.09.005
    https://doi.org/10.1016/j.jappgeo.2012.09.005 [Google Scholar]
/content/journals/10.1071/EG17007
Loading
Application of full waveform inversion algorithms to seismic data lacking low-frequency information from a simple starting model
Exploration Geophysics 49, 434 (2018); https://doi.org/10.1071/EG17007
/content/journals/10.1071/EG17007
/content/journals/10.1071/EG17007
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): 2D; acoustic; frequency; full waveform inversion; Laplace

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