1887
Volume 62 Number 4
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Vertical seismic profiling data can provide a high‐resolution reservoir image because the receivers are located close to the reservoir and, hence, the wavefield encounters less distortion in the overburden compared to surface seismic data. However, conventional migration of vertical seismic profiling data using only upgoing primary wavefields often suffers from poor illumination, imaging artefacts and low image reliability, especially at image locations away from the well. We propose full‐wavefield migration to image vertical seismic profiling data using the primaries and all orders of surface multiples and internal multiples. The downgoing internal or surface multiples are treated as an additional source of illumination. In full‐wavefield migration, we aim to estimate a high‐resolution reflectivity image of the subsurface with this extended illumination. The algorithm is recursive in depth like conventional wavefield extrapolation‐based migration, however, it incorporates the non‐linear transmission and scattering effects at each depth level. Further, full‐wavefield migration is posed as a constrained least‐squares inversion problem that could be solved using a conjugate gradient method. We propose an iterative full‐wavefield forward modelling engine as the backbone of this inversion scheme. The parameter used in the modelling is subsurface reflectivity. Full‐wavefield modelling iteratively incorporates the non‐linearity of the wavefield due to multiple scattering, where every iteration utilizes one higher order of scattered wavefields to estimate the subsurface reflectivity. In addition, the constrained inversion helps in reducing the extrapolation artefacts and provides a high‐resolution image of the reservoir. In this paper, we discuss the concept of full‐wavefield migration and demonstrate its potential as an imaging tool for vertical seismic profiling data using synthetic examples.

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2014-05-25
2024-04-18
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References

  1. AkiK. and RichardsP.G.1980. Quantatives Seismology. W. H. Freeman and Co.
    [Google Scholar]
  2. AmundsenL.1991. Comparison of the least‐squares criterion and the Cauchy criterion in frequency‐wavenumber inversion. Geophysics, 56(12), 2027–2035.
    [Google Scholar]
  3. AmundsenL.1993Depth imaging of offset vertical seismic profile data. Geophysical prospecting41(8), 1009–1031.
    [Google Scholar]
  4. BaysalE., KosloffD.D. and SherwoodJ.W.C.1983. Reverse time migration. Geophysics48(11), 1514–1524.
    [Google Scholar]
  5. BerkhoutA.J. and VerschuurD.J.2005. Removal of internal multiples with the common‐focus‐point (CFP) approach: Part 1 ‐ Explanation of the theory. Geophysics70(3), V45–V60.
    [Google Scholar]
  6. BerkhoutA.J. and VerschuurD.J.2011. Full wavefield migration, utilizing surface and internal multiple scattering. 81st Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts, 3212–3216.
  7. Berkhout, A.J.1982. Seismic migration, Imaging of Acoustic Energy by Wave field Extrapolation, A: Theoretical Aspects. Elsevier (second edition).
    [Google Scholar]
  8. BerkhoutA.J.2012. Combining full wavefield migration and full waveform inversion. Geophysics77(2), S43–S50.
    [Google Scholar]
  9. ChapmanC.H.2004. Fundamentals of Seismic Wave Propagation. Cambridge University Press.
    [Google Scholar]
  10. ChenG., PeronJ. and CanalesL.2000. Rapid VSP‐CDP mapping of 3‐D VSP data. Geophysics65(5), 1631–1640.
    [Google Scholar]
  11. ClaerboutJ.F. and MuirF.1973. Robust modeling with erratic data. Geophysics38(5), 826–844.
    [Google Scholar]
  12. ClaerboutJ.F.1976. Fundamental of Geophysical Data Processing. Blackwell Scientific Publications.
    [Google Scholar]
  13. CosmaC., BaluC. and EnescuN.2010. 3D VSP migration by image point transform. Geophysics75(3), S121–S130.
    [Google Scholar]
  14. DavydenkoM. and VerschuurD.J.2012. Demonstration of full wavefield migration in 2D subsurface models. 74th Annual International Meeting European Association of Geoscienyists and Engineears Expanded Abstracts.
  15. DavydenkoM. and VerschuurD.J.2013. Full wavefield migration without dip limitation ‐ using duplex waves in the imaging with multiples. 75th Annual International Meeting European Association of Geoscienyists and Engineears Expanded Abstracts.
  16. DavydenkoM., StaalX.R. and VerschuurD.J.2012. Full wavefield migration in multidimensional media. 82nd Annual International Meeting Society of Exploration Geophysicists. Expanded Abstracts, 1–5.
  17. de BruinC.G.M., WapenaarC.P.A. and BerkhoutA.J.1990. Angle‐dependent reflectivity by means of prestack migration. Geophysics55(9), 1223–1234.
    [Google Scholar]
  18. FuchsK. and MullerG.1971. Computation of synthetic seismograms with the reflectivity method and comparison of observations. Geophysical Journal of the Royal Astronomical Society23(4), 417–433.
    [Google Scholar]
  19. GalisM.MoczoP. and KristekJ.2008. A 3‐D hybrid finite‐difference ‐ finite‐element viscoelastic modelling of seismic wave motion. Geophysical Journal international175(1), 153–184.
    [Google Scholar]
  20. GulatiJ., StewartR. and UlrychT.J.1997. 3C‐3D VSP: Normal moveout correction and VSPCDP transformation. CREWES research Report9.
    [Google Scholar]
  21. HardageB.A.1985. Vertical seismic profiling, part A: prinicples. Geophysical Press.
    [Google Scholar]
  22. HarwijantoJ.A., WapenaarC.P.A. and BerkhoutA.J.1987. VSP migration by shot record inversion. First Break5(7), 247–255.
    [Google Scholar]
  23. He, R.Hornby, B. and SchusterG.T.2006. 3D wave‐equation interferometric migration of VSP multiples. 76th Annual International Meeting, Society of Exploration Geophysicists. Expanded Abstracts, 3442–3446.
  24. HestenesM.R. and StiefelE.1952. Methods of conjugate gradients for solving linear systems: Journal of Research of the National Bureau of Standards49(6), 409–436.
    [Google Scholar]
  25. HokstadK., MittetR. and LandralM.1988. Elastic reverse time migration of marine walkaway vertical seismic profiling data. Geophysics63(5), 1685–1695.
    [Google Scholar]
  26. IkelleL.T., ErezI. and YangX.2009. Scattering diagrams in seismic imaging: More insights into the construction of virtual events and internal multiples. Journal of applied Geophysics67, 150–170.
    [Google Scholar]
  27. IkelleL.T.2006. A construct of internal multiples from surface data only: the concept of virtual seismic events. Geophysical Journal International164(2), 383–393.
    [Google Scholar]
  28. JakubowiczH.1998a. Wave equation prediction and removal of interbed multiples. 60th Annual International Meeting, European Association of Geoscientists and Engineers Expanded Abstracts, Session: 1–28.
  29. JakubowiczH.1998b. Wave equation prediction and removal of interbed multiples. 68th Annual International Meeting, Society of Exploration Geophysicists Expanded Abstracts, 1527–1530.
  30. JiangZ., YuJ., SchusterG.T. and HornbyB.E.2005. Migration of multiples. The Leading Edge24(3), 315–318.
    [Google Scholar]
  31. JiangZ., ShengJ. and SchusterG.2007. Migration methods for imaging different‐order multiples. Geophysical Prospecting55(1), 1–19.
    [Google Scholar]
  32. JiangZ.2006a. Migration of interbed multiple reflections. 68th Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts, 3501–3505.
  33. JiangZ.2006b. Multiple attenuation in VSP multiple imaging and primary imaging. 68th Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts, 3477–3481.
  34. KellyK.R., WardR.W., TreitelS. and AlfordR.M.1976. Synthetic sei‐smograms: A finite difference approach. Geophysics41(1), 2–27.
    [Google Scholar]
  35. KennettB. L. N.1979. Theoretical reflection seismograms for elastic media. Geophysical Prospecting27(2), 301–321.
    [Google Scholar]
  36. KiyashchenkoD., MulderW. and LopezJ.2009. Wave equation vector migration from subsalt VSP imaging and interpretation. 79th Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts, 4134–4138.
  37. KnopoffL. and GangiA. F.1959. Seismic reciprocity. Geophysics24(4), 681–691.
    [Google Scholar]
  38. KomatitschD. and TrompJ.1999. Introduction to the spectral element method for three‐dimensional seismic wave propagation. Geophysical Journal international139(3), 806–822.
    [Google Scholar]
  39. LeaneyW.S., SacchiM.D. and UlrychT.J.2009. Least‐squares migration with dip‐field regularization: application to 3D VSP data. 79th Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts, 2864–2868.
  40. LiuT., HuT., SenM.K., YangJ., WangR., WeiJ. and WangS.2011. A hybrid scheme for seismic modelling based on galerkin method. Geophysical Journal international, 186(3), 1165–1178.
    [Google Scholar]
  41. LouM., ChengD. and DohertyF.2009. Suppressing VSP migration artifacts and noise by selected‐aperture migration and damped least‐squares smoothing. 79th Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts, 4144–4148.
  42. MalcolmA.E., UrsinB. and de HoopM.V.2008. Seismic imaging and illumination with internal multiples. Geophysical Journal International, 176(3), 847–864.
    [Google Scholar]
  43. MittetR. and HokstadK.1995. Transforming walk‐away VSP data into reverse VSP data. Geophysics, 60(4), 968–977.
    [Google Scholar]
  44. MuellerK.W., SorokaW.L., PaulssonB.N.P., MarmashS., BaloushiM.A. and JeelaniO.A.2010a. 3D VSP technology now a standard high‐resolution reservoir imaging technique: Part1, acquisition and processing. The Leading Edge29(6), 686–697.
    [Google Scholar]
  45. MuellerK.W., MuellerK. W., SorokaW. L., PaulssonB. N. P., MarmashS., BaloushiM. A. and JeelaniO. A.2010b. 3D VSP technology now a standard high‐resolution reservoir imaging technique: Part2, interpretation and value. The Leading Edge29(6), 698–704.
    [Google Scholar]
  46. NasyrovD., KiyashchenkoD., KiselevY., KashtanB. and TroyanV.2009. Multiple migration of VSP data for velocity analysis. 79th Annual International Meeting, Society of Exploration Geophysicists Expanded Abstracts, 4164–4168.
  47. NeklyudovD. and BorodinI.2009. Imaging of offset VSP data acquired in complex areas with modified reverse‐time migration. Geophysical Prospecting57(3), 379–391.
    [Google Scholar]
  48. NemethT., WuC. and SchusterG.T.1999. Least‐squares migration of incomplete reflection data. Geophysics64(1), 208–221.
    [Google Scholar]
  49. NicoletisL., MendesM., CompteP. and WilmetR.1995. Quantitative ray‐born elastic migration of VSP's data. 57th Annual International Meeting, European Association of Geoscientists and Engineers, Expanded Abstracts.
  50. O'BrienJ., FarmaniB. and AtkinsonB.2013. VSP free‐surface multiple imaging ‐ a detailed case study. 75th Annual International Meeting, European Association of Geoscientists and Engineers, Expanded Abstracts.
  51. PolakE. and RibiéreG.1969. Note sur la convergence de méthodes de directions conjuguées. Modélisation Mathématique et Analyse Numérique. 3(1), 35–43.
    [Google Scholar]
  52. RossW.S. and ShahP.M.1987. Vertical seismic profile reflectivity: Ups over downs. Geophysics52(8), 1149–1154.
    [Google Scholar]
  53. SacchiM.D., UlrychT.J. and WalkerC.J.1998. Interpolation and extrapolation using a high‐resolution discrete fourier transform: IEEE TransactionsSignal Processing46(1), 31–38.
    [Google Scholar]
  54. SoniA.K. and VerschuurD.J.2013a. Full wavefield migration of vertical seismic profiling data: Using all multiples for imaging away from the well. Borehole Geophysics Workshop II, European Association of Geoscientists and Engineers, Expanded Abstracts.
  55. SoniA.K. and VerschuurD.J.2013b. Imaging vertical seismic profiling data using full wavefield migration. 75th EAGE Annual International Meeting, Expanded Abstracts.
  56. SoniA.K., StaalX. R. and VerschuurD. J.2012a. Estimation of surface impulse response data from walkaway VSP measurements. 74th EAGE Annual International Meeting, Expanded Abstracts, A026.
  57. SoniA.K., StaalX.R. and VerschuurD.J.2012b. VSP imaging using all multiples: Full wavefield migration approach. 82nd SEG Annual International Meeting, Expanded Abstracts, 1–5.
    [Google Scholar]
  58. SoniA.K., WoutersW. and VerschuurD.J.2012c. Target oriented VSP imaging ‐ a sparse‐inversion approach. 74th EAGE Annual International Meeting, Expanded Abstracts, P095.
  59. tenKroode A.P.E.2002. Prediction of internal multiples. Wave Motion35(4), 315–338.
    [Google Scholar]
  60. ThorbeckeJ. W., WapenaarK. and SwinnenG.2004. Design of one‐way wavefield extrapolation operators, using smooth functions in WLSQ optimization. Geophysics69(4), 1037–1045.
    [Google Scholar]
  61. VasconcelosI., SniederR. and HornbyB.2008. Imaging internal multiples from subsalt VSP data examples of target‐oriented interferometry. Geophysics73(4), S157–S168.
    [Google Scholar]
  62. VerschuurD.J. and BerkhoutA.J.2005. Removal of internal multiples with the common‐focus‐point (CFP) approach: Part 2 ‐ Application strategies and data examples. Geophysics70(3), V61–V72.
    [Google Scholar]
  63. VirieuxJ.1986. P‐SV wave propagation in heterogeneous media: Velocity‐stress finite difference method. Geophysics51(4), 889–901.
    [Google Scholar]
  64. WyattK.D.1981. Synthetic vertical seismic profile. Geophysics46(6), 880–891.
    [Google Scholar]
  65. XiaoX. and SchusterG.T.2009. Local migration with extrapolated VSP green's functions. Geophysics74(1), SI15–SI26.
    [Google Scholar]
  66. YuJ. and HornbyB.2008, A strategy for attenuating VSP migration artefacts: local beam migration. 78th Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts, 3385–3389.
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