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Volume 69, Issue 7
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Full waveform inversion has shown its huge potentials in recovering a high‐resolution subsurface model. However, conventional full waveform inversion usually suffers from cycle skipping, resulting in an inaccurate local minimum model. Extended waveform inversion provides an effective way to mitigate cycle skipping. A matching filter between the predicted and observed data can provide an additional degree of freedom to improve the data fitting and avoid the cycle skipping. We extend the search space to treat the matching filter as an independent variable that we use to bring the compared data within a half cycle to obtain the accurate direction of velocity updates. We formulate the objective function using the penalty method by linearly combining a data‐misfit term and a penalty term. The objective function with a reasonable penalty parameter has a larger region of convergence compared to conventional full waveform inversion. We search for the optimal solution over the extended model by updating the matching filter and the velocity in a nested way. The normalization of the data can bring us an equivalent normalization to the filter and a more effective convergence. In the synthetic Marmousi model, the proposed inversion method recovers the velocity model stably and accurately starting from a linearly increasing model in the case of lack of low frequencies below 3 Hz, in which conventional full waveform inversion suffers from cycle skipping. We also use a marine field data to demonstrate the effectiveness and practicality of the proposed method.

© 2021 European Association of Geoscientists & Engineers © 2021 European Association of Geoscientists & Engineers
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/content/journals/10.1111/1365-2478.13121
2021-08-09
2024-04-25

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References

  1. AlkhalifahT. (2015) Scattering‐angle based filtering of the waveform inversion gradients. Geophysical Journal International, 200, 363–373.
     [Google Scholar]
  2. AlkhalifahT. and SongC. (2019) An efficient wavefield inversion: Using a modified source function in the wave equation. Geophysics, 84(6), R909–R922.
     [Google Scholar]
  3. AsnaashariA., BrossierR., GaramboisS., AudebertF., ThoreP. and VirieuxJ. (2013) Regularized seismic full waveform inversion with prior model information. Geophysics, 78(2), R25–R36.
     [Google Scholar]
  4. BharadwajP., MulderW. and DrijkoningenG. (2016) Full waveform inversion with an auxiliary bump functional. Geophysical Journal International, 206, 1076–1092.
     [Google Scholar]
  5. BiondiB. and AlmominA. (2014) Simultaneous inversion of full data bandwidth by tomographic full‐waveform inversion. Geophysics, 79(3), WA129–WA140.
     [Google Scholar]
  6. BunksC., SaleckF.M., ZaleskiS. and ChaventG. (1995) Multiscale seismic waveform inversion. Geophysics, 60(5), 1457–1473.
     [Google Scholar]
  7. BuschS., Van Der KrukJ. and VereeckenH. (2014) Improved characterization of fine‐texture soils using on‐ground GPR full‐waveform inversion. IEEE Transactions on Geoscience and Remote Sensing, 52(7), 3947–3958.
     [Google Scholar]
  8. ChoiY. and AlkhalifahT. (2013) Multisource waveform inversion of marine streamer data using normalized wavefield. Geophysics, 78(5), R197–R206.
     [Google Scholar]
  9. ChoiY. and AlkhalifahT. (2018) Time‐domain full‐waveform inversion of exponentially damped wavefield using the deconvolution‐based objective function. Geophysics, 83(2), R77–R88.
     [Google Scholar]
  10. DafniR. and SymesW.W. (2019) Generalized reflection tomography formulation based on subsurface offset extended imaging. Geophysical Journal International, 216(2), 1025–1042.
     [Google Scholar]
  11. Engl, H., Hanke, M. and Neubauer, A. (1996) Regularization of Inverse Problems. Kluwer Academic Publishers.
     [Google Scholar]
  12. FuL. and SymesW.W. (2017) A discrepancy‐based penalty method for extended waveform inversion. Geophysics, 82(5), R287–R298.
     [Google Scholar]
  13. HansenP.C. and O'learyD.P. (1993) The use of the L‐curve in the regularization of discrete ill‐posed problems. SIAM Journal on Scientific Computing, 14(6), 1487–1503.
     [Google Scholar]
  14. HuangG., NammourR. and SymesW. (2017) Full‐waveform inversion with source‐receiver extension. Geophysics, 82(3), R153–R171.
     [Google Scholar]
  15. Huang, X., Eikrem, K.S., Jakobsen, M. and Nævdal, G. (2020) Bayesian full‐waveform inversion in anisotropic elastic media using the iterated extended Kalman filter. Geophysics, 85(4), C125–C139.
     [Google Scholar]
  16. KalitaM. and AlkhalifahT. (2019) Flux‐corrected transport for full‐waveform inversion. Geophysical Journal International, 217, 2147–2164.
     [Google Scholar]
  17. LameloiseC.‐A. and ChaurisH. (2016) Extension of migration velocity analysis to transmitted wavefields. Geophysical Journal International, 207, 343–356.
     [Google Scholar]
  18. LiY., ChoiY., AlkhalifahT., LiZ. and ZhangK. (2018) Full‐waveform inversion using a nonlinearly smoothed wavefield. Geophysics, 83(2), R117–R127.
     [Google Scholar]
  19. Li, Y., Guo, Q., Li, Z. and Alkhalifah, T. (2019) Elastic reflection waveform inversion with variable density. Geophysics, 83(4), R335–R344.
     [Google Scholar]
  20. Li, Y. and Alkhalifah, T. (2019) Matching‐filter based extended full waveform inversion. 81st Annual International Meeting, EAGE, Expanded Abstracts.
  21. LiY. and AlkhalifahT. (2020) Multi‐parameter reflection waveform inversion for acoustic transversely isotropic media with a vertical symmetry axis. Geophysical Prospecting, 68(6), 1878–1892.
     [Google Scholar]
  22. LiY., AlkhalifahT. and ZhangZ. (2021) Deep‐learning assisted regularized elastic full waveform inversion using the velocity distribution information from wells. Geophysical Journal International, 226(2), 1322–1335.
     [Google Scholar]
  23. LiuL., WuY., GuoB., HanS. and LuoY. (2018) Near‐surface velocity estimation using source‐domain full traveltime inversion and early arrival waveform inversion. Geophysics, 83(4), R335–R344.
     [Google Scholar]
  24. Luo, S. and Sava, P. (2011) A deconvolution‐based objective function for wave‐equation inversion. 81st Annual International Meeting, SEG, Expanded Abstracts, 2788–2792.
  25. MaY. and HaleD. (2013) Wave‐equation reflection traveltime inversion with dynamic warping and full waveform inversion. Geophysics, 78(6), R223–R233.
     [Google Scholar]
  26. Mendel, J.M. (2013) Optimal Seismic Deconvolution: An Estimation‐Based Approach. Elsevier.
     [Google Scholar]
  27. MétivierL., BrossierR., MérigotQ., OudetE. and VirieuxJ. (2016) Measuring the misfit between seismograms using an optimal transport distance: Application to full waveform inversion. Geophysical Journal International, 205, 345–377.
     [Google Scholar]
  28. OhJ.‐W. and AlkhalifahT. (2018) Full waveform inversion using envelope based global correlation norm. Geophysical Journal International, 213(2), 815–823.
     [Google Scholar]
  29. PlessixR.‐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]
  30. SandhuG.Y., LiC., RoyO., SchmidtS. and DuricN. (2015) Frequency domain ultrasound waveform tomography: breast imaging using a ring transducer. Physics in Medicine and Biology, 60(14), 5381–5398.
     [Google Scholar]
  31. Shen, X. (2014) Early arrival waveform inversion for near surface velocity estimation. Ph.D. thesis, Stanford University.
     [Google Scholar]
  32. SirgueL. and PrattR.G. (2004) Efficient waveform inversion and imaging: a strategy for selecting temporal frequencies. Geophysics, 69(1), 231–248.
     [Google Scholar]
  33. SongC., AlkhalifahT. and LiY. (2020) A sequential inversion with outer iterations for the velocity and the intrinsic attenuation using an efficient wavefield inversion. Geophysics, 85(6), R447–R459.
     [Google Scholar]
  34. SunB. and AlkhalifahT. (2019a) A robust waveform inversion using a global comparison of modeled and observed data. The Leading Edge, 38(3), 185–192.
     [Google Scholar]
  35. SunB. and AlkhalifahT. (2019b) The application of an optimal transport to a preconditioned data matching function for robust waveform inversion. Geophysics, 84(6), R923–R945.
     [Google Scholar]
  36. SymesW.W. (2008) Migration velocity analysis and waveform inversion. Geophysical Prospecting, 56, 765–790.
     [Google Scholar]
  37. TarantolaA. (1984) Inversion of seismic reflection data in the acoustic approximation. Geophysics, 49, 1259–1266.
     [Google Scholar]
  38. Van LeeuwenT. and HerrmannF.J. (2013) Mitigating local minima in full‐waveform inversion by expanding the search space. Geophysical Journal International, 195(1), 661–667.
     [Google Scholar]
  39. Van LeeuwenT. and MulderW.A. (2010) A correlation‐based misfit criterion for wave equation travel time tomography. Geophysical Journal International, 182, 1383–1394.
     [Google Scholar]
  40. VighD., JiaoK., WattsD. and SunD. (2014) Elastic full‐waveform inversion application using multicomponent measurements of seismic data collection. Geophysics, 79(2), R63–R77.
     [Google Scholar]
  41. VirieuxJ. and OpertoS. (2009) An overview of full‐waveform inversion in exploration geophysics. Geophysics, 74(6), WCC1–WCC26.
     [Google Scholar]
  42. WarnerM. and GuaschL. (2016) Adaptive waveform inversion: theory. Geophysics, 81(6), R429–R445.
     [Google Scholar]
  43. WolfeP. (1969) Convergence conditions for ascent methods. SIAM Review, 11, 226–235.
     [Google Scholar]
  44. WuR.‐S., LuoJ. and WuB. (2014) Seismic envelope inversion and modulation signal model. Geophysics, 79(3), WA13–WA24.
     [Google Scholar]
  45. WuZ. and AlkhalifahT. (2018) Selective data extension for full‐waveform inversion: an efficient solution for cycle skipping. Geophysics, 83(3), R201–R211.
     [Google Scholar]
  46. Yang, T. and Sava, P. (2013) 3D image‐domain wavefield tomography using time‐lag extended images. 83th Annual International Meeting, SEG, Expanded Abstracts, 4816–4821.
  47. YaoG., Da SilvaN.V., WarnerM., WuD. and YangC. (2019) Tackling cycle skipping in full‐waveform inversion with intermediate data. Geophysics, 84(3), R411–R427.
     [Google Scholar]
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Extended full waveform inversion with matching filter
Geophysical Prospecting 69, 1441 (2021); https://doi.org/10.1111/1365-2478.13121
/content/journals/10.1111/1365-2478.13121
/content/journals/10.1111/1365-2478.13121
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  • Article Type: Research Article
Keyword(s): Acoustics; Full‐waveform inversion; Seismic velocities

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