1887
Volume 49, Issue 1
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

[

We implement full waveform inversion in an auxiliary coordinate system to improve inversion quality of near-surface regions with strong elevation and velocity variation. Furthermore, a time-domain multi-scale decomposition method and an optimised encoding strategy are introduced to the inversion frame to promote the practical application of our method.

,

For land exploration areas with irregular surface topography, there are many challenges and problems for full waveform inversion (FWI); for example, which type of wave equation should be used to calculate high-accuracy seismic wavefields, how to deal with diffraction of irregular surface topography, what initial velocity model should be utilised to improve the inversion accuracy and how to enhance the computational efficiency of iterative FWI. Aiming at these difficulties, we first simulate the seismic waves with the first-order acoustic wave equation in an auxiliary coordinate system, which easily describes irregular surface topography. Then, we apply this wavefield simulation frame to FWI to improve inversion quality of near-surface regions with strong elevation and velocity variation. Furthermore, to enhance the robustness and computational efficiency, a time-domain multi-scale decomposition method based on the Wiener filter and an optimised encoding strategy are introduced to the proposed inversion frame, and are critical to promoting the practical application of our method. Typical numerical tests prove that the proposed method can obtain more accurate inversion results than the traditional time-domain FWI.

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/content/journals/10.1071/EG16037
2018-02-01
2026-01-12
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References

  1. Alterman Z. Karal F. C. 1968 Propagation of elastic waves in layered media by finite difference methods: Bulletin of the Seismological Society of America 58 367 398
    [Google Scholar]
  2. Appelö D. Petersson N. A. 2009 A stable finite difference method for the elastic wave equation on complex geometries with free surfaces: Communications in Computational Physics 5 84 107
    [Google Scholar]
  3. Asnaashari, A., Brossier, R., Garambois, S., Audebert, F., Thore, P., and Virieux, J., 2012, Regularized full waveform inversion including prior model information: 74th EAGE Conference and Exhibition incorporating EUROPEC, Extended Abstracts, 1–5.
  4. Berryhill J. R. 1979 Wave equation datuming: Geophysics 44 1329 1344 10.1190/1.1441010
    https://doi.org/10.1190/1.1441010 [Google Scholar]
  5. Berryhill J. R. 1984 Wave equation datuming before stack: Geophysics 49 2064 2066 10.1190/1.1441620
    https://doi.org/10.1190/1.1441620 [Google Scholar]
  6. Boonyasiriwat C. Valasek P. Routh P. Cao W. Schuster G. Macy B. 2009 An efficient multiscale method for time-domain waveform tomography: Geophysics 74 WCC59 WCC68 10.1190/1.3151869
    https://doi.org/10.1190/1.3151869 [Google Scholar]
  7. 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]
  8. Chi, B., and Dong, L., 2013, Full waveform inversion based on envelope objective function: 75th EAGE Conference and Exhibition incorporating SPE EUROPEC, Extended Abstracts, 1–5.
  9. Choi, Y., Devault, B., and Alkhalifah, T., 2015, Application of the unwrapped phase inversion to land field data with irregular topography: 77th EAGE Conference and Exhibition incorporating SPE EUROPEC, Extended Abstracts, 2051–2055.
  10. Collino F. Tsogka C. 2001 Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media: Geophysics 66 294 307 10.1190/1.1444908
    https://doi.org/10.1190/1.1444908 [Google Scholar]
  11. Denis, T., Vujasinovic, Y., and Tarantola, A., 1989, Velocity model optimization by image focusing and waveform modeling using prestack depth migration: SEG Technical Program, Expanded Abstracts, 1247–1250.
  12. Falk J. Tessmer E. Gajewski D. 1998 Efficient finite-difference modelling of seismic waves using locally adjustable time steps: Geophysical Prospecting 46 603 616 10.1046/j.1365‑2478.1998.00110.x
    https://doi.org/10.1046/j.1365-2478.1998.00110.x [Google Scholar]
  13. Fornberg B. 1988 The pseudospectral method: accurate representation of interfaces in elastic wave calculations: Geophysics 53 625 637 10.1190/1.1442497
    https://doi.org/10.1190/1.1442497 [Google Scholar]
  14. Guitton, A., Ayeni, G., and Gonzales, G., 2010, A preconditioning scheme for full waveform inversion: SEG Technical Program, Expanded Abstracts, 1008–1012.
  15. Guo, Y. D., Huang, J. P., Li, Z. C., Qu, Y. M., and Hang, Y. T., 2016, Polarity encoding full waveform inversion with prior model based on blend data: 78th EAGE Conference and Exhibition incorporating EUROPEC, Extended Abstracts, 4291–4295.
  16. Hestholm S. O. Ruud B. O. 1994 2D finite-difference elastic wave modelling including surface topography: Geophysical Prospecting 42 371 390 10.1111/j.1365‑2478.1994.tb00216.x
    https://doi.org/10.1111/j.1365-2478.1994.tb00216.x [Google Scholar]
  17. Huang, J. P., Qu, Y. M., Li, Z. C., and Li, Q. Y., 2013, Mapping forward modeling method based on dual-variable grid: 75th EAGE Conference and Exhibition incorporating SPE EUROPEC, Extended Abstracts, 4762–4766.
  18. Jang, U., Min, D. J., Choi, Y., and Shin, C., 2008, Frequency-domain elastic waveform inversion with irregular surface topograph: SEG Technical Program, Expanded Abstracts, 2031–2035.
  19. Jastram C. Behle A. 1992 Acoustic modeling on a vertically varying grid: Geophysical Prospecting 40 157 169 10.1111/j.1365‑2478.1992.tb00369.x
    https://doi.org/10.1111/j.1365-2478.1992.tb00369.x [Google Scholar]
  20. Jastram C. Tessmer E. 1994 Elastic modeling on a grid with vertically varying spacing: Geophysical Prospecting 42 357 370 10.1111/j.1365‑2478.1994.tb00215.x
    https://doi.org/10.1111/j.1365-2478.1994.tb00215.x [Google Scholar]
  21. Komatitsch D. Tromp J. 2002 Spectral-element simulations of global seismic wave propagation - I. Validation: Geophysical Journal International 149 390 412 10.1046/j.1365‑246X.2002.01653.x
    https://doi.org/10.1046/j.1365-246X.2002.01653.x [Google Scholar]
  22. Krebs J. R. Anderson J. E. Hinkley D. Neelamani R. Lee S. Baumstein A. Lacasse M. D. 2009 Fast full-wavefield seismic inversion using encoded sources: Geophysics 74 WCC177 WCC188 10.1190/1.3230502
    https://doi.org/10.1190/1.3230502 [Google Scholar]
  23. Levander A. 1988 Fourth-order finite-difference P-SV seismograms: Geophysics 53 1425 1436 10.1190/1.1442422
    https://doi.org/10.1190/1.1442422 [Google Scholar]
  24. Liseikin, V., 2010, Grid generation methods: Springer.
  25. Liu, Y., Symes, W. W., and Li, Z., 2013, Multisource least-squares extended reverse-time migration with preconditioning guided gradient method: SEG Technical Program, Expanded Abstracts, 3709–3715.
  26. Luo, Y., and Schuster, G. T., 1990, Wave-equation traveltime + waveform inversion: SEG Technical Program, Expanded Abstracts, 1223–1225.
  27. Moczo P. Bystricky E. Kristek J. Carcione J. Bouchon M. 1997 Hybrid modelling of P-SV seismic motion at inhomogeneous viscoelastic topographic structures: Bulletin of the Seismological Society of America 87 1305 1323
    [Google Scholar]
  28. Pratt R. 1990 Frequency-domain elastic modeling by finite differences: a tool for crosshole seismic imaging: Geophysics 55 626 632 10.1190/1.1442874
    https://doi.org/10.1190/1.1442874 [Google Scholar]
  29. Pratt R. 1999 Seismic waveform inversion in the frequency domain, part I: theory and verification in a physic scale model: Geophysics 64 888 901 10.1190/1.1444597
    https://doi.org/10.1190/1.1444597 [Google Scholar]
  30. Pratt R. Shipp R. 1999 Seismic waveform inversion in the frequency domain, part 2: fault delineation in sediments using crosshole data: Geophysics 64 902 914 10.1190/1.1444598
    https://doi.org/10.1190/1.1444598 [Google Scholar]
  31. Pratt R. 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]
  32. Qu, Y. M., Li, Z. C., Huang, J. P., Li, Q. Y., and Li, J. L., 2015, Multisource elastic full waveform inversion method for irregular surface: 2015 Workshop: Depth Model Building: Full-waveform Inversion, 32–35.
  33. Shi Y. M. Zhao W. Z. Cao H. 2007 Nonlinear process control of wave-equation inversion and its application in the detection of gas: Geophysics 72 R9 R18 10.1190/1.2399450
    https://doi.org/10.1190/1.2399450 [Google Scholar]
  34. Shin C. Cha Y. H. 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]
  35. Shin C. Cha Y. H. 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]
  36. Shin J. Kim Y. Shin C. Calandra H. 2013 Laplace-domain full waveform inversion using irregular finite elements for complex foothill environments: Journal of Applied Geophysics 96 67 76 10.1016/j.jappgeo.2013.06.008
    https://doi.org/10.1016/j.jappgeo.2013.06.008 [Google Scholar]
  37. 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]
  38. 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]
  39. Tarantola A. 1986 A strategy for nonlinear elastic inversion of seismic reflection data: Geophysics 51 1893 1903 10.1190/1.1442046
    https://doi.org/10.1190/1.1442046 [Google Scholar]
  40. Tessmer E. 2000 Seismic finite-difference modeling with spatially varying time steps: Geophysics 65 1290 1293 10.1190/1.1444820
    https://doi.org/10.1190/1.1444820 [Google Scholar]
  41. Tessmer E. Kosloff D. 1994 3D elastic modelling with surface topography by a Chebychev spectral method: Geophysics 59 464 473 10.1190/1.1443608
    https://doi.org/10.1190/1.1443608 [Google Scholar]
  42. Tessmer E. Kosloff D. Behle A. 1992 Elastic wave propagation simulation in the presence of surface topography: Geophysical Journal International 108 621 632 10.1111/j.1365‑246X.1992.tb04641.x
    https://doi.org/10.1111/j.1365-246X.1992.tb04641.x [Google Scholar]
  43. Thompson, J., Soni, B., and Weatherill, N., 1999, Handbook of grid generation: CRC Press.
  44. Virieux J. 1984 SH-wave propagation in heterogeneous media: velocity-stress finite-difference method: Geophysics 49 1933 1942 10.1190/1.1441605
    https://doi.org/10.1190/1.1441605 [Google Scholar]
  45. Virieux J. 1986 P-SV-wave propagation in heterogeneous media: velocity-stress finite-difference method: Geophysics 51 889 901 10.1190/1.1442147
    https://doi.org/10.1190/1.1442147 [Google Scholar]
  46. Virieux J. Operto S. 2009 An overview of full-waveform inversion in exploration geophysics: Geophysics 74 WCC1 WCC26 10.1190/1.3238367
    https://doi.org/10.1190/1.3238367 [Google Scholar]
  47. Wang, B. L., and Goo, J. H., 2010, Fast full inversion of multi-shot seismic data: SEG Technical Program, Expanded Abstracts, 1055–1058.
  48. Wang Y. Rao Y. 2009 Reflection seismic waveform tomography: Journal of Geophysical Research 114 1 12 10.1029/2008JB005916
    https://doi.org/10.1029/2008JB005916 [Google Scholar]
  49. Wiggins J. W. 1984 Kirchhoff integral extrapolation and migration of nonplanar data: Geophysics 49 1239 1248 10.1190/1.1441752
    https://doi.org/10.1190/1.1441752 [Google Scholar]
  50. Yoon, K., Shin, C., and Marfurt, K. J., 2003, Waveform inversion using time-windowed back propagation: SEG Technical Program, Expanded Abstracts, 690–693.
  51. Yoon, K., Suh, S., Cai, J., and Wang, B., 2012, Improvements in time domain FWI and its applications: SEG Technical Program, Expanded Abstracts, 1–5.
  52. Zhang W. Chen X. 2006 Traction image method for irregular free surface boundaries in finite difference seismic wave simulation: Geophysical Journal International 167 337 353 10.1111/j.1365‑246X.2006.03113.x
    https://doi.org/10.1111/j.1365-246X.2006.03113.x [Google Scholar]
  53. Zhang, Z. G., Lin, Y., and Huang, L., 2011, Full waveform inversion in the time domain with an energy weighted gradient: SEG Technical Program, Expanded Abstracts, 2772–2776.
  54. Zhang, D. L., Zhan, G., and Dai, W., 2012a, Multisource full waveform inversion with topography using ghost extrapolation: International Geophysical Conference and Oil and Gas Exhibition, 1–4.
  55. Zhang W. Shen Y. Zhao L. 2012 b Three-dimensional anisotropic seismic wave modelling in spherical coordinates by a collocated-grid finite-difference method: Geophysical Journal International 188 1359 1381 10.1111/j.1365‑246X.2011.05331.x
    https://doi.org/10.1111/j.1365-246X.2011.05331.x [Google Scholar]
  56. Zhang, Z. G., Huang, L., and Lin, Y., 2012c, A wave-energy-based precondition approach to full-waveform inversion in the time domain: SEG Technical Program, Expanded Abstracts, 1–5.
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