1887
Volume 67, Issue 2
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

A transmission + reflection wave‐equation traveltime and waveform inversion method is presented that inverts the seismic data for the anisotropic parameters in a vertical transverse isotropic medium. The simultaneous inversion of anisotropic parameters and ε is initially performed using transmission wave‐equation traveltime inversion method. Transmission wave‐equation traveltime only provides the low‐intermediate wavenumbers for the shallow part of the anisotropic model; in contrast, reflection wave‐equation traveltime estimates the anisotropic parameters in the deeper section of the model. By incorporating a layer‐stripping method with reflection wave‐equation traveltime, the ambiguity between the background‐velocity model and the depths of reflectors can be greatly mitigated. In the final step, multi‐scale full‐waveform inversion is performed to recover the high‐wavenumber component of the model.  We use a synthetic model to illustrate the local minima problem of full‐waveform inversion and how transmission and reflection wave‐equation traveltime can mitigate this problem. We demonstrate the efficacy of our new method using field data from the Gulf of Mexico.

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2019-01-09
2024-03-28
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References

  1. AkiK. and RichardsP.G.1980. Quantitative Seismology, 2nd edn. University Science Books.
    [Google Scholar]
  2. AlkhalifahT.1998. Acoustic approximations for processing in transversely isotropic media. Geophysics63, 623–631.
    [Google Scholar]
  3. AlkhalifahT. and PlessixR.‐É.2014. A recipe for practical full‐waveform inversion in anisotropic media: an analytical parameter resolution study. Geophysics79, R91–R101.
    [Google Scholar]
  4. AlTheyabA. and SchusterG.T.2015. Inverting reflections using full‐waveform inversion with inaccurate starting models. SEG Technical Program Expanded Abstracts 2015. Society of Exploration Geophysicists, 1148–1153.
  5. BishopT., BubeK., CutlerR., LanganR., LoveP., ResnickJ., ShueyR., SpindlerD. and WyldH.1985. Tomographic determination of velocity and depth in laterally varying media. Geophysics50, 903–923.
    [Google Scholar]
  6. BoonyasiriwatC., ValasekP., RouthP., CaoW., SchusterG.T. and MacyB.2009. An efficient multiscale method for time‐domain waveform tomography. Geophysics74, WCC59–WCC68.
    [Google Scholar]
  7. BrossierR., OpertoS. and VirieuxJ.2015. Velocity model building from seismic reflection data by full‐waveform inversion. Geophysical Prospecting63, 354–367.
    [Google Scholar]
  8. BunksC., SaleckF.M., ZaleskiS. and ChaventG.1995. Multiscale seismic waveform inversion. Geophysics60, 1457–1473.
    [Google Scholar]
  9. ChapmanC. and PrattR.1992. Traveltime tomography in anisotropic media–I. Theory. Geophysical Journal International109, 1–19.
    [Google Scholar]
  10. ChengX., JiaoK., SunD. and VighD.2014. Anisotropic parameter estimation with full‐waveform inversion of surface seismic data. SEG Technical Program Expanded Abstracts 2014. Society of Exploration Geophysicists, 1072–1077.
  11. ChiB., DongL. and LiuY.2015. Correlation‐based reflection full‐waveform inversion. Geophysics80, R189–R202.
    [Google Scholar]
  12. ClementF., ChaventG. and GómezS.2001. Migration‐based traveltime waveform inversion of 2‐D simple structures: a synthetic example. Geophysics66, 845–860.
    [Google Scholar]
  13. FarraV., PšenčíkI. and JílekP.2016. Weak‐anisotropy moveout approximations for p‐waves in homogeneous layers of monoclinic or higher anisotropy symmetries. Geophysics81, C17–C37.
    [Google Scholar]
  14. FengS. and SchusterJ.T.2017. Skeletonized wave equation inversion in vertical symmetry axis media without too much math. Interpretation5, SO21–SO30.
    [Google Scholar]
  15. FengZ., GuoB. and SchusterG.T.2018. Multiparameter deblurring filter and its application to elastic migration and inversion. Geophysics83, S421–S435.
    [Google Scholar]
  16. FengZ., SchusterG. and DaiW.2017. Decoupled deblurring filter and its application to elastic migration and inversion. SEG Technical Program Expanded Abstracts 2017. Society of Exploration Geophysicists, 4379–4383.
  17. FuL., GuoB. and SchusterG.T.2018. Multiscale phase inversion of seismic data. Geophysics83, R159–R171.
    [Google Scholar]
  18. FuL. and SymesW.W.2017. An adaptive multiscale algorithm for efficient extended waveform inversion. Geophysics82, R183–R197.
    [Google Scholar]
  19. GholamiY., BrossierR., OpertoS., RibodettiA. and VirieuxJ.2013. Which parameterization is suitable for acoustic vertical transverse isotropic full waveform inversion? Part 1: sensitivity and trade‐off analysis. Geophysics78, R81–R105.
    [Google Scholar]
  20. GuoQ. and AlkhalifahT.2017. Elastic reflection‐based waveform inversion with a nonlinear approach. Geophysics82, R309–R321.
    [Google Scholar]
  21. HaleD.2013. Dynamic warping of seismic images. Geophysics78, S105–S115.
    [Google Scholar]
  22. HeW. and PlessixR.‐É.2017. Analysis of different parameterisations of waveform inversion of compressional body waves in an elastic transverse isotropic earth with a vertical axis of symmetry. Geophysical Prospecting65, 1004–1024.
    [Google Scholar]
  23. HuangX. and GreenhalghS.2018. Linearized formulations and approximate solutions for the complex eikonal equation in orthorhombic media and applications of complex seismic traveltime. Geophysics83, C115–C136.
    [Google Scholar]
  24. JakobsenM., PšenčíkI., IversenE. and UrsinB.2017. On the parameterization of seismic anisotropy in elastic waveform inversion‐the HTI case. Presented at the 79th EAGE Conference and Exhibition 2017, Paris.
  25. LuoY. and SchusterG.T.1991a. Wave equation inversion of skeletalized geophysical data. Geophysical Journal International105, 289–294.
    [Google Scholar]
  26. LuoY. and SchusterG.T.1991b. Wave‐equation traveltime inversion. Geophysics56, 645–653.
    [Google Scholar]
  27. MaY. and HaleD.2013. Wave‐equation reflection traveltime inversion with dynamic warping and full‐waveform inversion. Geophysics78, R223–R233.
    [Google Scholar]
  28. MarqueringH., DahlenF. and NoletG.1999. Three‐dimensional sensitivity kernels for finite‐frequency traveltimes: the banana‐doughnut paradox. Geophysical Journal International137, 805–815.
    [Google Scholar]
  29. NemethT., NormarkE. and QinF.1997. Dynamic smoothing in crosswell traveltime tomography. Geophysics62, 168–176.
    [Google Scholar]
  30. OpertoS., GholamiY., PrieuxV., RibodettiA., BrossierR., MetivierL. and VirieuxJ.2013. A guided tour of multiparameter full‐waveform inversion with multicomponent data: from theory to practice. The Leading Edge32, 1040–1054.
    [Google Scholar]
  31. PestanaR.C., UrsinB. and StoffaP.L.2011. Separate P‐ and SV‐wave equations for VTI media. SEG Technical Program Expanded Abstracts 2011. Society of Exploration Geophysicists, 163–167.
  32. PlessixR.‐E. and CaoQ.2011. A parametrization study for surface seismic full waveform inversion in an acoustic vertical transversely isotropic medium. Geophysical Journal International185, 539–556.
    [Google Scholar]
  33. PlessixR.‐E. and RynjaH.2010. VTI full waveform inversion: a parameterization study with a narrow azimuth streamer data example. SEG Technical Program Expanded Abstracts 2010. Society of Exploration Geophysicists, 962–966.
  34. PrattR. G., ShinC. and HickG.1998. Gauss–Newton and full Newton methods in frequency–space seismic waveform inversion. Geophysical Journal International133, 341–362.
    [Google Scholar]
  35. RickettJ.2000. Traveltime sensitivity kernels: banana‐doughnuts or just plain bananas? Stanford Exploration Project, Report 103, 63–71.
    [Google Scholar]
  36. RusmanugrohoH., ModrakR. and TrompJ.2017. Anisotropic full‐waveform inversion with tilt‐angle recovery. Geophysics82, R135–R151.
    [Google Scholar]
  37. SchusterG.T.2017. Seismic inversion. SEG Publishing, Tulsa, OK.
    [Google Scholar]
  38. ShenX.2012. Early‐arrival waveform inversion for near‐surface velocity and anisotropic parameter: parameterization study. 2012 SEG annual meeting. Society of Exploration Geophysicists, 1–5.
  39. ShinC. and HoCha Y.2009. Waveform inversion in the Laplace–Fourier domain. Geophysical Journal International177, 1067–1079.
    [Google Scholar]
  40. StovasA.2015. Azimuthally dependent kinematic properties of orthorhombic media. Geophysics80, C107–C122.
    [Google Scholar]
  41. TangY. and LeeS.2015. Multi‐parameter full wavefield inversion using non‐stationary point‐spread functions. SEG Technical Program Expanded Abstracts 2015. Society of Exploration Geophysicists, 1111–1115.
  42. TarantolaA.2004. Inverse Problem Theory and Methods for Model Parameter Estimation. Society of Industrial and Applied Mathematics.
    [Google Scholar]
  43. ThomsenL.1986. Weak elastic anisotropy. Geophysics51, 1954–1966.
    [Google Scholar]
  44. Van LeeuwenT. and MulderW.2010. A correlation‐based misfit criterion for wave‐equation traveltime tomography. Geophysical Journal International182, 1383–1394.
    [Google Scholar]
  45. VirieuxJ. and OpertoS.2009. An overview of full‐waveform inversion in exploration geophysics. Geophysics74, WCC1–WCC26.
    [Google Scholar]
  46. WuR.‐S., LuoJ. and WuB.2014. Seismic envelope inversion and modulation signal model. Geophysics79, WA13–WA24.
    [Google Scholar]
  47. ZeltC.A. and BartonP.J.1998. Three‐dimensional seismic refraction tomography: a comparison of two methods applied to data from the Faeroe Basin. Journal of Geophysical Research: Solid Earth103, 7187–7210.
    [Google Scholar]
  48. ZhanG., PestanaR.C. and StoffaP.L.2012. Decoupled equations for reverse time migration in tilted transversely isotropic media. Geophysics77, T37–T45.
    [Google Scholar]
  49. ZhangS., LuoY. and SchusterG.2015. Shot‐and angle‐domain wave‐equation traveltime inversion of reflection data: theory. Geophysics80, U47–U59.
    [Google Scholar]
  50. ZhangS., SchusterG. and LuoY.2011. Wave‐equation reflection traveltime inversion. SEG Technical Program Expanded Abstracts 2011. Society of Exploration Geophysicists, 2705–2710.
  51. ZhangZ. and AlkhalifahT.2017. Full waveform inversion using oriented time‐domain imaging method for vertical transverse isotropic media. Geophysical Prospecting65, 166–180.
    [Google Scholar]
  52. ZhouC., CaiW., LuoY., SchusterG.T. and HassanzadehS.1995. Acoustic wave‐equation traveltime and waveform inversion of crosshole seismic data. Geophysics60, 765–773.
    [Google Scholar]
  53. ZhouC., SchusterG.T., HassanzadehS. and HarrisJ.M.1997. Elastic wave equation traveltime and waveform inversion of crosswell data. Geophysics62, 853–868.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Anisotropy; Inversion; Traveltime

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