1887
Volume 73, Issue 3
  • E-ISSN: 1365-2478

Abstract

Abstract

Elastic full‐waveform inversion enables the quantitative inversion of multiple subsurface parameters, significantly enhancing the interpretation of subsurface lithology. Simultaneously, with the ongoing advancements in ocean bottom node technology, the application of elastic full‐waveform inversion to marine ocean bottom node data is receiving increasing attention. This is attributed to the capability of ocean bottom node to acquire high‐quality four‐component data. However, elastic full‐waveform inversion of ocean bottom node data typically encounters two challenges: First, the presence of low S‐wave velocity layers in the seabed leads to weak energy of converted S‐waves, resulting in significantly poorer inversion results for S‐wave velocity compared to those for P‐wave velocity; second, the cross‐talk effect of multiple parameters further exacerbates the difficulty in inverting S‐wave velocity. To effectively recover the S‐wave velocity using ocean bottom node data, we modify the S‐wave velocity gradient in conventional elastic full‐waveform inversion to alleviate the impact of cross‐talk from multiple parameters on the inversion of S‐wave velocity. Furthermore, to invert for density parameters, we adopt a two‐stage inversion strategy. In the first stage, P‐wave and S‐wave velocities are updated simultaneously with a single‐step length. Because the initial density model is far from the true one, density is updated using an empirical relationship derived from well‐log data. In the second stage, velocities and density are updated simultaneously with multi‐step length to further refine the models obtained in the first stage. The high effectiveness of the improved elastic full‐waveform inversion is validated by numerical examples.

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2025-02-27
2026-02-11
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References

  1. Ben‐Hadj‐Ali, H., Operto, S. & Virieux, J. (2008) Velocity model building by 3D frequency‐domain, full‐waveform inversion of wide‐aperture seismic data. Geophysics, 73(5), 101–117.
    [Google Scholar]
  2. Bortfeld, R. (1961) Approximations to the reflection and transmission coefficients of plane longitudinal transverse wave. Geophysical Prospecting, 9(4), 485–502. Available from: https://doi.org/10.1111/j.1365‐2478.1961.tb01670.x
    [Google Scholar]
  3. Brossier, R., Operto, S. & Virieux, J. (2009) Seismic imaging of complex onshore structures by 2D elastic frequency‐domain full‐waveform inversion. Geophysics, 74(6), 105–118. Available from: https://doi.org/10.1190/1.3215771
    [Google Scholar]
  4. Brossier, R., Operto, S. & Virieux, J. (2015) Velocity model building from seismic reflection data by full‐waveform inversion: velocity model building from seismic reflection data. Geophysical Prospecting, 63(2), 354–367. Available from: https://doi.org/10.1111/1365‐2478.12190
    [Google Scholar]
  5. Bunks, C., Saleck, F.M., Zaleski, S. & Chavent, G. (1995) Multiscale seismic waveform inversion. Geophysics, 60(5), 1457–1473. Available from: https://doi.org/10.1190/1.1443880
    [Google Scholar]
  6. Castagna, J.P. (1993) Petrophysical imaging using AVO. The Leading Edge, 12(3), 172–178. Available from: https://doi.org/10.1190/1.1436939
    [Google Scholar]
  7. Dai, F., Zhang, F. & Li, X. (2022) SH‐SH wave inversion for S‐wave velocity and density. Geophysics, 87(3), A25–A32. Available from: https://doi.org/10.1190/geo2021‐0314.1
    [Google Scholar]
  8. Fichtner, A. & Trampert, J. (2011) Hessian kernels of seismic data functionals based upon adjoint techniques: hessian kernels. Geophysical Journal International, 185(2), 775–798. Available from: https://doi.org/10.1111/j.1365‐246X.2011.04966.x
    [Google Scholar]
  9. Fu, L.Y. (2022) Interpretative seismic imaging with the wavenumber‐structure monitoring of velocity models. IEEE Transactions on Geoscience and Remote Sensing, 60, 1–14.
    [Google Scholar]
  10. Gardner, G.H.F., Gardner, L.W. & Gregory, A.R. (1974) Formation velocity and density‐the diagnostic basics for stratigraphic traps. Geophysics, 39(6), 770–780. Available from: https://doi.org/10.1190/1.1440465
    [Google Scholar]
  11. Pratt, R.G., Shin, C. & Hick, G.J. (1998) Gauss–Newton and full Newton methods in frequency–space seismic waveform inversion. Geophysical Journal International, 133(2), 341–362. Available from: https://doi.org/10.1046/j.1365‐246X.1998.00498.x
    [Google Scholar]
  12. Gholami, Y., Brossier, R., Operto, S., Prieux, V., Ribodetti, A. & Virieux, J. (2011) Two‐dimensional acoustic anisotropic (VTI) full waveform inversion: the Valhall case study. In: SEG Technical Program Expanded Abstracts 2011, Houston, TX: Society of Exploration Geophysicists, pp. 2543–2548.
    [Google Scholar]
  13. Guasch, L. (2012) 3D Elastic full‐waveform inversion. [PhD thesis]. London: Imperial College London.
  14. Innanen, K.A. (2014) Seismic AVO and the inverse Hessian in precritical reflection full waveform inversion. Geophysical Journal International, 199(2), 717–734. Available from: https://doi.org/10.1093/gji/ggu291
    [Google Scholar]
  15. Métivier, L., Brossier, R., Mérigot, Q., Oudet, E. & Virieux, J. (2016) Measuring the misfit between seismograms using an optimal transport distance: application to full waveform inversion. Geophysical Journal International, 205(1), 345–377. Available from: https://doi.org/10.1093/gji/ggw014
    [Google Scholar]
  16. Mora, P. (1987) Nonlinear two‐dimensional elastic inversion of multi‐offset seismic data. Geophysics, 52(9), 1211–1228. Available from: https://doi.org/10.1190/1.1442384
    [Google Scholar]
  17. Mulder, W.A. & Plessix, R.‐É. (2008) Exploring some issues in acoustic full waveform inversion. Geophysical Prospecting, 56(6), 827–841. Available from: https://doi.org/10.1111/j.1365‐2478.2008.00708.x
    [Google Scholar]
  18. Operto, S., Gholami, Y., Prieux, V., Ribodetti, A., Brossier, R., Metivier, L. & Virieux, J. (2013) A guided tour of multiparameter full‐waveform inversion with multicomponent data: from theory to practice. The Leading Edge, 32(9), 1040–1054. Available from: https://doi.org/10.1190/tle32091040.1
    [Google Scholar]
  19. Pan, W., Innanen, K.A., Geng, Y. & Li, J. (2019) Interparameter trade‐off quantification for isotropic‐elastic full‐waveform inversion with various model parameterizations. Geophysics, 84(2), R185–R206. Available from: https://doi.org/10.1190/geo2017‐0832.1
    [Google Scholar]
  20. Pan, W., Innanen, K.A., Margrave, G.F., Fehler, M.C., Fang, X. & Li, J. (2016) Estimation of elastic constants for HTI media using Gauss‐Newton and full‐Newton multiparameter full‐waveform inversion. Geophysics, 81(5), R275–R291. Available from: https://doi.org/10.1190/geo2015‐0594.1
    [Google Scholar]
  21. Plessix, R.‐É. (2006) A review of the adjoint‐state method for computing the gradient of a functional with geophysical applications. Geophysical Journal International, 167(2), 495–503. Available from: https://doi.org/10.1111/j.1365‐246X.2006.02978.x
    [Google Scholar]
  22. Plessix, R.‐É. & Cao, Q. (2011) A parametrization study for surface seismic full waveform inversion in an acoustic vertical transversely isotropic medium: FWI in an acoustic VTI medium. Geophysical Journal International, 185(1), 539–556. Available from: https://doi.org/10.1111/j.1365‐246X.2011.04957.x
    [Google Scholar]
  23. Pratt, R. (1999) Seismic waveform inversion in the frequency domain, Part 1: theory and verification in a physical scale model. Geophysics, 64(3), 888–901. Available from: https://doi.org/10.1190/1.1444597
    [Google Scholar]
  24. Prieux, V., Brossier, R., Operto, S. & Virieux, J. (2013) Multiparameter full waveform inversion of multicomponent ocean‐bottom‐cable data from the Valhall field. Part 2: imaging compressive‐wave and shear‐wave velocities. Geophysical Journal International, 194(3), 1665–1681. Available from: https://doi.org/10.1093/gji/ggt178
    [Google Scholar]
  25. Ren, Z. & Liu, Y. (2016) A hierarchical elastic full‐waveform inversion scheme based on wavefield separation and the multistep‐length approach. Geophysics, 81(3), R99–R123. Available from: https://doi.org/10.1190/geo2015‐0431.1
    [Google Scholar]
  26. Sears, T.J., Barton, P.J. & Singh, S.C. (2010) Elastic full waveform inversion of multicomponent ocean‐bottom cable seismic data: application to Alba Field, U. K. North Sea. Geophysics, 75(6), R109–R119. Available from: https://doi.org/10.1190/1.3484097
    [Google Scholar]
  27. Shipp, R.M. & Singh, S.C. (2002) Two‐dimensional full wavefield inversion of wide‐aperture marine seismic streamer data. Geophysical Journal International, 151(2), 325–344. Available from: https://doi.org/10.1046/j.1365‐246X.2002.01645.x
    [Google Scholar]
  28. Singh, S., Tsvankin, I. & Naeini, E.Z. (2021) Facies‐based full‐waveform inversion for anisotropic media: a North Sea case study. Geophysical Prospecting, 69(8–9), 1650–1663. Available from: https://doi.org/10.1111/1365‐2478.13139
    [Google Scholar]
  29. Sirgue, L., Barkved, O.I., Dellinger, J., Etgen, J. & Kommedal, J.H. (2010) Thematic Set: full waveform inversion: the next leap forward in imaging at Valhall. First Break, 28(4), 65–70. Available from: https://doi.org/10.3997/1365‐2397.2010012
    [Google Scholar]
  30. Sirgue, L., Etgen, J. & Albertin, U. (2007) 3D full‐waveform inversion: wide‐ versus narrow‐azimuth acquisitions. In: SEG Technical Program Expanded Abstracts 2007, Houston, TX: Society of Exploration Geophysicists, pp. 1760–1764.
    [Google Scholar]
  31. Tarantola, A. (1986) A strategy for nonlinear elastic inversion of seismic reflection data. Geophysics, 51(10), 1893–1903. Available from: https://doi.org/10.1190/1.1442046
    [Google Scholar]
  32. Vigh, D., Jiao, K., Watts, D. & Sun, D. (2014) Elastic full‐waveform inversion application using multicomponent measurements of seismic data collection. Geophysics, 79(2), R63–R77. Available from: https://doi.org/10.1190/geo2013‐0055.1
    [Google Scholar]
  33. Vigh, D. & Starr, E.W. (2008) 3D prestack plane‐wave, full‐waveform inversion. Geophysics, 73(5), 135–144. Available from: https://doi.org/10.1190/1.2952623
    [Google Scholar]
  34. Virieux, J. & Operto, S. (2009) An overview of full‐waveform inversion in exploration geophysics. Geophysics, 74(6), WCC1–WCC26. Available from: https://doi.org/10.1190/1.3238367
    [Google Scholar]
  35. Wang, T., Cheng, J., Guo, Q. & Wang, C. (2018) Elastic wave‐equation‐based reflection kernel analysis and traveltime inversion using wave mode decomposition. Geophysical Journal International, 215(1), 450–470. Available from: https://doi.org/10.1093/gji/ggy291
    [Google Scholar]
  36. Wang, T.‐F., Cheng, J.‐B. & Geng, J.‐H. (2022) Reflection‐based traveltime and waveform inversion with second‐order optimization. Petroleum Science, 19(4), 1582–1591. Available from: https://doi.org/10.1016/j.petsci.2022.02.003
    [Google Scholar]
  37. Wang, Z.‐Y., Huang, J.‐P., Liu, D.‐J., Li, Z.‐C., Yong, P. & Yang, Z.‐J. (2019) 3D variable‐grid full‐waveform inversion on GPU. Petroleum Science, 16(5), 1001–1014.
    [Google Scholar]
  38. Warner, M., Ratcliffe, A., Nangoo, T., Morgan, J., Umpleby, A., Shah, N., Vinje, V., Štekl, I. et al. (2013) Anisotropic 3D full‐waveform inversion. Geophysics, 78(2), R59–R80. Available from: https://doi.org/10.1190/geo2012‐0338.1
    [Google Scholar]
  39. Wu, R. & Aki, K. (1985) Scattering characteristics of elastic waves by an elastic heterogeneity. Geophysics, 50(4), 582–595. Available from: https://doi.org/10.1190/1.1441934
    [Google Scholar]
  40. Wu, R.‐S., Luo, J. & Wu, B. (2014) Seismic envelope inversion and modulation signal model. Geophysics, 79(3), WA13–WA24. Available from: https://doi.org/10.1190/geo2013‐0294.1
    [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(2), R41–R53. https://doi.org/10.1190/geo2013‐0134.1
    [Google Scholar]
  42. Yao, G., da Silva, N.V., Warner, M. & Kalinicheva, T. (2018) Separation of migration and tomography modes of full‐waveform inversion in the plane wave domain. Journal of Geophysical Research: Solid Earth, 123(2), 1486–1501. Available from: https://doi.org/10.1002/2017JB015207
    [Google Scholar]
  43. Yao, G., da Silva, N.V., Warner, M., Wu, D. & Yang, C. (2019) Tackling cycle skipping in full‐waveform inversion with intermediate data. Geophysics, 84(3), R411–R427. Available from: https://doi.org/10.1190/geo2018‐0096.1
    [Google Scholar]
  44. Yang, T., Liu, Y.‐Z., Wu, Z. & Zhang, J.‐M. (2023) Multi‐parameter full waveform inversion using only the streamer data based on the acoustic‐elastic coupled wave equation. Journal of Applied Geophysics, 209, 104902.
    [Google Scholar]
  45. Yu, P., Geng, J., Li, X. & Wang, C. (2016) Acoustic‐elastic coupled equation for ocean bottom seismic data elastic reverse time migration. Geophysics, 81(5), S333–S345. Available from: https://doi.org/10.1190/geo2015‐0535.1
    [Google Scholar]
  46. Zhang, F. & Li, X. (2020) Inversion of the reflected SV‐wave for density and S‐wave velocity structures. Geophysical Journal International, 221(3), 1635–1639. Available from: https://doi.org/10.1093/gji/ggaa096
    [Google Scholar]
  47. Zhang, P., Wu, R.‐S., Han, L.‐G. & Hu, Y. (2022) Elastic direct envelope inversion based on wave mode decomposition for multi‐parameter reconstruction of strong‐scattering media. Petroleum Science, 19(5), 2046–2063. Available from: https://doi.org/10.1016/j.petsci.2022.05.007
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): elastics; full waveform; inverse problem; multicomponent

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