1887
Volume 51, Issue 3
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

ABSTRACT

Full-waveform inversion (FWI) is one of the most promising inversion methods in geophysics due to its theoretical completeness and high resolution. However, the inversion ability of FWI strongly relies on the accuracy of the initial model and the quality of the low-frequency data. For FWI, it is important to accurately recover low and middle wavenumber components (the background model). In order to invert for the background model, we use a new strategy to compose the plane-wave using reference source points. With the new algorithm, more plane-waves can be composed for a single ray parameter to obtain the background model by plane-wave multi-scale full-waveform inversion (PMFWI) method. By controlling the ray parameter in this method, the low to middle wavenumber components can be recovered in sequence. Composing several plane-waves for a single ray parameter enables the illumination to be significantly improved, even for incomplete data. As only a small number of plane-waves are needed in this method, the computation burden greatly decreases. Analysis of numerical tests also verifies that the proposed inversion strategy is robust, to a certain extent, for high-frequency or noisy data. Application of this method on a modified portion of a SigsBee 2A model illustrates that, combined with conventional FWI, PMFWI has suitable model accuracy, even for coarse initial model data and high-frequency data.

Loading

Article metrics loading...

/content/journals/10.1080/08123985.2019.1691442
2020-05-03
2026-01-17
Loading full text...

Full text loading...

References

  1. Adamczyk, A., M. Malinowski, and A. Malehmir 2014 High-resolution near-surface velocity model building using full-waveform inversion—A case study from southwest Sweden. Geophysical Journal International197, no. 3: 1693–704. doi: 10.1093/gji/ggu070
    https://doi.org/10.1093/gji/ggu070 [Google Scholar]
  2. Alkhalifah, T. 2014 Scattering-angle based filtering of the waveform inversion gradients. Geophysical Journal International200: 363–73. doi: 10.1093/gji/ggu379
    https://doi.org/10.1093/gji/ggu379 [Google Scholar]
  3. Alkhalifah, T. 2016 Full-model wavenumber inversion: An emphasis on the appropriate wavenumber continuation. Geophysics81, no. 3: R89–98. doi: 10.1190/geo2015‑0537.1
    https://doi.org/10.1190/geo2015-0537.1 [Google Scholar]
  4. Alkhalifah, T., and Z.D. Wu 2015 The natural combination of full and image-based waveform inversion. Geophysical Prospecting64, no. 1: 19–30. doi: 10.1111/1365‑2478.12264
    https://doi.org/10.1111/1365-2478.12264 [Google Scholar]
  5. Alkhalifah, T., and Z.D. Wu 2016 Multiscattering inversion for low-model wavenumbers. Geophysics81, no. 6: R417–28. doi: 10.1190/geo2015‑0650.1
    https://doi.org/10.1190/geo2015-0650.1 [Google Scholar]
  6. Boonyasiriwat, C., P. Valasek, P. Routh, W. Cao, G.T. Schuster, and B. Macy 2009 An efficient multiscale method for time-domain waveform tomography. Geophysics74, no. 6: WCC59–68. doi: 10.1190/1.3151869
    https://doi.org/10.1190/1.3151869 [Google Scholar]
  7. Brossier, R., S. Operto, and J. Virieux 2009 Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion. Geophysics74, no. 6: WCC105–18. doi: 10.1190/1.3215771
    https://doi.org/10.1190/1.3215771 [Google Scholar]
  8. Brossier, R., S. Operto, and J. Virieux 2010 Which data residual norm for robust elastic frequency-domain full waveform inversion?Geophysics75, no. 3: R37–46. doi: 10.1190/1.3379323
    https://doi.org/10.1190/1.3379323 [Google Scholar]
  9. Bunks, C., F.M. Salek, S. Zaleski, and G. Chavent 1995 Multiscale seismic waveform inversion. Geophysics60, no. 5: 1457–73. doi: 10.1190/1.1443880
    https://doi.org/10.1190/1.1443880 [Google Scholar]
  10. Chen, G.X., R.S. Wu, and S.C. Chen 2018 Reflection multi-scale envelope inversion for salt structure inversion. Geophysical Prospecting66, no. 7: 1258–71. doi: 10.1111/1365‑2478.12624
    https://doi.org/10.1111/1365-2478.12624 [Google Scholar]
  11. Chen, J., and C.A. Zelt 2016 Application of frequency-dependent traveltime tomography and full waveform inversion to realistic near-surface seismic refraction data. Journal of Environmental & Engineering Geophysics21, no. 1: 1–12. doi: 10.2113/JEEG21.1.1
    https://doi.org/10.2113/JEEG21.1.1 [Google Scholar]
  12. Chen, J., C.A. Zelt, and P. Jaiswal 2016 Detecting a known near-surface target through application of frequency-dependent traveltime tomography and full-waveform inversion to P-and SH-wave seismic refraction data. Geophysics82, no. 1: R1–17. doi: 10.1190/geo2016‑0085.1
    https://doi.org/10.1190/geo2016-0085.1 [Google Scholar]
  13. Chi, B., L. Dong, and Y. Liu 2015 Correlation-based reflection full-waveform inversion. Geophysics80, no. 4: R189–202. doi: 10.1190/geo2014‑0345.1
    https://doi.org/10.1190/geo2014-0345.1 [Google Scholar]
  14. Dai, W., and G.T. Schuster 2013 Plane-wave least-squares reverse-time migration. Geophysics78, no. 4: S165–77. doi: 10.1190/geo2012‑0377.1
    https://doi.org/10.1190/geo2012-0377.1 [Google Scholar]
  15. Fichtner, A., and J. Trampert 2011 Hessian kernels of seismic data functionals based upon adjoint techniques. Geophysical Journal International185, no. 2: 775–98. doi: 10.1111/j.1365‑246X.2011.04966.x
    https://doi.org/10.1111/j.1365-246X.2011.04966.x [Google Scholar]
  16. Gauthier, O., J. Virieux, and A. Tarantola 1986 Two dimensional nonlinear inversion of seismic waveforms: Numerical results. Geophyscis51, no. 7: 1387–403. doi: 10.1190/1.1442188
    https://doi.org/10.1190/1.1442188 [Google Scholar]
  17. Guo, Y., J. Huang, C. Cui, Z. Li, L. Fu, and Q. Li 2019a Multi-source multi-scale source-independent full waveform inversion. Journal of Geophysics and Engineering16, no. 3: 479–92. doi: 10.1093/jge/gxz013
    https://doi.org/10.1093/jge/gxz013 [Google Scholar]
  18. Guo, Y., J. Huang, Q. Li, Z. Li, and C. Cui 2019b Improving computation efficiency of full waveform inversion based on multi-step preferred optimization in multi-source domain. Journal of China University of Petroleum (Edition of Natural Science)43, no. 2: 45–52.
    [Google Scholar]
  19. Haber, E., E. Treister, and E. Holtham 2016 Obtaining low frequencies for full waveform inversion by using augmented physics. ASEG Extended Abstracts2016, no. 1: 1–5. doi: 10.1071/ASEG2016ab257
    https://doi.org/10.1071/ASEG2016ab257 [Google Scholar]
  20. Huang, J.P., C. Li, Q.Y. Li, S.J. Guo, X.B. Duan, J.G. Li, S.T. Zhao, and C.C. Bu 2015 Least-squares reverse time migration with static plane-wave encoding. Chinese Journal of Geophysics – Chinese Edition58, no. 6: 2046–56.
    [Google Scholar]
  21. Huang, J.P., Y. Yang, Z.C. Li, K. Tian, and Q.Y. Li 2016 Lebedev grid finite difference modeling for irregular free surface and stability analysis based on M-PML boundary condition. Journal of China University of Petroleum (Edition of Natural Science)40, no. 4: 47–56.
    [Google Scholar]
  22. Jun, H., J. Shin, and C. Shin 2018 Application of full waveform inversion algorithms to seismic data lacking low-frequency information from a simple starting model. Exploration Geophysics49, no. 4: 434–49. doi: 10.1071/EG17007
    https://doi.org/10.1071/EG17007 [Google Scholar]
  23. Köhn, D. 2011 Time domain 2D elastic full waveform tomography. PhD thesis, Kiel University.
  24. Kwon, T., S.J. Seol, and J. Byun 2015 Efficient full-waveform inversion with normalized plane-wave data. Geophysical Journal International201, no. 1: 53–60. doi: 10.1093/gji/ggu498
    https://doi.org/10.1093/gji/ggu498 [Google Scholar]
  25. Liu, F., D.W. Hanson, N.D. Whitmore, R.S. Day, and R.H. Stolt 2006 Toward a unified analysis for source plane-wave migration. Geophysics71, no. 4: S129–39. doi: 10.1190/1.2213933
    https://doi.org/10.1190/1.2213933 [Google Scholar]
  26. Liu, Z., and J. Zhang 2017 Joint traveltime, waveform, and waveform envelope inversion for near-surface imaging. Geophysics82, no. 4: R235–44. doi: 10.1190/geo2016‑0356.1
    https://doi.org/10.1190/geo2016-0356.1 [Google Scholar]
  27. Luo, J., and R.S. Wu 2015 Seismic envelope inversion: Reduction of local minima and noise resistance. Geophysical Prospecting63: 597–614. doi: 10.1111/1365‑2478.12208
    https://doi.org/10.1111/1365-2478.12208 [Google Scholar]
  28. Luo, J., and X.B. Xie 2017 Frequency-domain full waveform inversion with an angle-domain wavenumber filter. Journal of Applied Geophysics141: 107–18. doi: 10.1016/j.jappgeo.2017.04.010
    https://doi.org/10.1016/j.jappgeo.2017.04.010 [Google Scholar]
  29. Ma, Y., and D. Hale 2013 Wave-equation reflection traveltime inversion with dynamic warping and full-waveform inversion. Geophysics78, no. 6: R223–33. doi: 10.1190/geo2013‑0004.1
    https://doi.org/10.1190/geo2013-0004.1 [Google Scholar]
  30. Mora, P. 1987 Nonlinear two-dimensional elastic inversion of multi-offset seismic data. Geophysics52, no. 52: 1211–28. doi: 10.1190/1.1442384
    https://doi.org/10.1190/1.1442384 [Google Scholar]
  31. Mora, P. 1988 Elastic wave-field inversion of reflection and transmission data. Geophysics53, no. 6: 750–9. doi:10.1190/1.1442510.
    [Google Scholar]
  32. Mora, P. 1989 Inversion = migration + tomography. Geophysics54: 1575–86. doi:10.1190/1.1442625.
    [Google Scholar]
  33. Plessix, R.E. 2006 A review of the adjoint-state method for computing the gradient of a functional with geophysical applications. Geophysical Journal International167, no. 2: 495–503. doi: 10.1111/j.1365‑246X.2006.02978.x
    https://doi.org/10.1111/j.1365-246X.2006.02978.x [Google Scholar]
  34. Polak, B., and G. Ribiere 1969 Note surla convergence des methodes de directions conjuguees. Rev. Fr.Imform. Rech. Oper.16: 35–43.
    [Google Scholar]
  35. Polyak, B.T. 1969 The conjugate gradient method in extremal problems. USSR Computational Mathematics and Mathematical Physics9: 94–112. doi: 10.1016/0041‑5553(69)90035‑4
    https://doi.org/10.1016/0041-5553(69)90035-4 [Google Scholar]
  36. Pratt, R.G. 1999 Seismic waveform inversion in the frequency domain, part 1: Theory and verification in a physical scale model. Geophysics64: 888–901. doi: 10.1190/1.1444597
    https://doi.org/10.1190/1.1444597 [Google Scholar]
  37. Shin, C., and Y.H. Cha 2008 Waveform inversion in the Laplace domain. Geophysical Journal International173, no. 3: 922–31. doi: 10.1111/j.1365‑246X.2008.03768.x
    https://doi.org/10.1111/j.1365-246X.2008.03768.x [Google Scholar]
  38. Shin, C., and Y.H. Cha 2009 Waveform inversion in the Laplace–Fourier domain. Geophysical Journal International177, no. 3: 1067–79. doi: 10.1111/j.1365‑246X.2009.04102.x
    https://doi.org/10.1111/j.1365-246X.2009.04102.x [Google Scholar]
  39. Shipp, R.M., and S.C. Singh 2002 Two dimensional full wavefield inversion of wide aperture marine seismic streamer data. Geophysical Journal International151: 325–44. doi:10.1046/j.1365-246X.2002.01645.x.
    [Google Scholar]
  40. Tao, Y., and M. Sen 2013 Frequency-domain full waveform inversion with plane-wave data. Geophysics78, no. 1: R13–23. doi: 10.1190/geo2012‑0267.1
    https://doi.org/10.1190/geo2012-0267.1 [Google Scholar]
  41. Tarantola, A. 1984 Inversion of seismic reflection data in the acoustic approximation. Geophysics49, no. 8: 1259–66. doi: 10.1190/1.1441754
    https://doi.org/10.1190/1.1441754 [Google Scholar]
  42. Vigh, D., and E.W. Starr 2008 3D prestack plane-wave full-waveform inversion. Geophysics73, no. 5: VE135–44. doi: 10.1190/1.2952623
    https://doi.org/10.1190/1.2952623 [Google Scholar]
  43. Virieux, J., and S. Operto 2009 An overview of full-waveform inversion in exploration geophysics. Geophysics74, no. 6: WCC1–26. doi:10.1190/1.3238367.
    [Google Scholar]
  44. Wang, H., S.C. Singh, F. Audebert, and H. Calandra 2015 Inversion of seismic refraction and reflection data for building long-wavelength velocity models. Geophysics80, no. 2: R81–93. doi: 10.1190/geo2014‑0174.1
    https://doi.org/10.1190/geo2014-0174.1 [Google Scholar]
  45. Wu, Z.D., and T. Alkhalifah 2015 Simultaneous inversion of the background velocity and the perturbation in full-waveform inversion. Geophysics80, no. 6: R317–29. doi: 10.1190/geo2014‑0365.1
    https://doi.org/10.1190/geo2014-0365.1 [Google Scholar]
  46. Wu, Z.D., and T. Alkhalifah 2016 The optimized gradient method for full waveform inversion and its spectral implementation. Geophysical Journal International205, no. 3: 1823–31. doi: 10.1093/gji/ggw112
    https://doi.org/10.1093/gji/ggw112 [Google Scholar]
  47. Wu, Z.D., and T. Alkhalifah 2017 Efficient scattering-angle enrichment for a nonlinear inversion of the background and perturbations components of a velocity model. Geophysical Journal International210, no. 3: 1981–92. doi: 10.1093/gji/ggx283
    https://doi.org/10.1093/gji/ggx283 [Google Scholar]
  48. Wu, R.S., and G.X. Chen 2018 Multi-scale seismic envelope inversion using a direct envelope Fréchet derivative for strong-nonlinear full waveform inversion. arXiv preprint arXiv:1808.05275.
    [Google Scholar]
  49. Wu, R.S., J. Luo, and B. Wu 2014 Seismic envelope inversion and modulation signal model. Geophysics79, no. 3: WA13–24. doi: 10.1190/geo2013‑0294.1
    https://doi.org/10.1190/geo2013-0294.1 [Google Scholar]
  50. Xie, X.B. 2015 An angle-domain wavenumber filter for multi-scale full-waveform inversion. SEG Technical Program Expanded Abstracts, 1132–7.
  51. Xu, S., D. Wang, F. Chen, G. Lambare, and Y. Zhang 2012 Inversion on reflected seismic wave. 82nd Annual International Meeting, SEG, Expanded Abstracts.
  52. Yang, J.Z., Y.Z. Liu, and L.G. Dong 2014 A multi-parameter full waveform inversion strategy for acoustic media with variable density. Chinese Journal of Geophysics (in Chinese)57, no. 2: 628–43.
    [Google Scholar]
  53. Yao, G., N.V. da Silva, M. Warner, and T. Kalinicheva 2018a Separation of migration and tomography modes of full-waveform inversion in the plane wave domain. Journal of Geophysical Research: Solid Earth123, no. 2: 1486–501.
    [Google Scholar]
  54. Yao, G., N.V. da Silva, M. Warner, D. Wu, and C. Yang 2018b Tackling cycle skipping in full-waveform inversion with intermediate data. Geophysics84, no. 3: R411–27. doi: 10.1190/geo2018‑0096.1
    https://doi.org/10.1190/geo2018-0096.1 [Google Scholar]
  55. Yao, G., and D. Wu 2017 Reflection full waveform inversion. Science China Earth Science60, no. 10: 1–12. doi: 10.1007/s11430‑016‑9091‑9
    https://doi.org/10.1007/s11430-016-9091-9 [Google Scholar]
  56. Yin, C., J. Sun, H. Miao, and H. Yan 2018 Full waveform inversion based on initial model built from envelope inversion. Global Geology21, no. 1: 62–7.
    [Google Scholar]
  57. Zhang, Y., J. Sun, C. Notfors, S.H. Gray, L. Chernis, and J. Young 2005 Delayed-shot 3D depth migration. Geophysics70, no. 5: E21–8. doi: 10.1190/1.2057980
    https://doi.org/10.1190/1.2057980 [Google Scholar]
/content/journals/10.1080/08123985.2019.1691442
Loading
/content/journals/10.1080/08123985.2019.1691442
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): Full waveform; inversion; sources; velocity

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