1887
Volume 56 Number 1
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

In areas of complex geology such as the Canadian Foothills, the effects of anisotropy are apparent in seismic data and estimation of anisotropic parameters for use in seismic imaging is not a trivial task. Here we explore the applicability of common‐focus point (CFP)‐based velocity analysis to estimate anisotropic parameters for the variably tilted shale thrust sheet in the Canadian Foothills model. To avoid the inherent velocity‐depth ambiguity, we assume that the elastic properties of thrust‐sheet with respect to transverse isotropy symmetry axis are homogeneous, the reflector below the thrust‐sheet is flat, and that the anisotropy is weak. In our CFP approach to velocity analysis, for a poorly imaged reflection point, a traveltime residual is obtained as the time difference between the focusing operator for an assumed subsurface velocity model and the corresponding CFP response obtained from the reflection data. We assume that this residual is due to unknown values for anisotropy, and we perform an iterative linear inversion to obtain new model parameters that minimize the residuals. Migration of the data using parameters obtained from our inversion results in a correctly positioned and better focused reflector below the thrust sheet. For traveltime computation we use a brute force mapping scheme that takes into account weakly tilted transverse isotropy media. For inversion, the problem is set up as a generalized Newton's equation where traveltime error (differential time shift) is linearly dependent on the parameter updates. The iterative updates of parameters are obtained by a least‐squares solution of Newton's equations. The significance of this work lies in its applicability to areas where transverse isotropy layers are heterogeneous laterally, and where transverse isotropy layers are overlain by complex structures that preclude a moveout curve fitting.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.2007.00658.x
2007-09-03
2024-04-18
Loading full text...

Full text loading...

References

  1. BerkhoutA.J.1982. Seismic Migration; Imaging of Acoustic Energy by Wavefield Extrapolation, A. Theoretical Aspects , 2nd edn. Elsevier Science Publishers BV.
    [Google Scholar]
  2. BerkhoutA.J.1992. Areal shot record technology. Journal of Seismic Exploration1, 251–264.
    [Google Scholar]
  3. BerkhoutA.J.1997. Pushing the limits of seismic imaging, Part I: Prestack migration in terms of double dynamic focusing. Geophysics62, 937–953.
    [Google Scholar]
  4. BerkhoutA.J. and VerschuurD.J.2001. Seismic imaging beyond depth migration. Geophysics66, 1895–1912.
    [Google Scholar]
  5. ByunB.S., CorriganD. and GaiserJ.1989. Anisotropic velocity analysis for lithology discrimination. Geophysics54, 1564–1574.
    [Google Scholar]
  6. CrampinS.1984. Anisotropy in exploration geophysics. First Break2, 19–21.
    [Google Scholar]
  7. FariaE.L. and StoffaP.L.1994. Traveltime computation in transversely isotropic media. Geophysics59, 272–281.
    [Google Scholar]
  8. FeiT., DellingerJ.A., MurphyG.E., HensleyJ.L. and GrayS.H.1998. Anisotropic true‐amplitude migration. 68th SPE meeting, New Orleans , Louisiana , USA , Expanded Abstracts, 1677–1679.
  9. FergusonR.J. and MargraveG.F.2002. Depth imaging in anisotropic media by symmetric non‐stationary phase shift. Geophysical Prospecting50, 281–288.
    [Google Scholar]
  10. FergusonR.J. and SenM.K.2004. Estimating the elastic parameters of anisotropic media using a joint inversion of P‐wave and SV‐wave traveltime error. Geophysical Prospecting52, 547–557.
    [Google Scholar]
  11. FariaE.L. and StoffaP.L. 1994. Traveltime computation in transversely isotropic media. Geophysics59, 272–281.
    [Google Scholar]
  12. KabirM.M.N.1997. Velocity estimation of the complex subsurface using the common focus point technology . PhD thesis, Delft University of Technology, The Netherlands .
    [Google Scholar]
  13. KumarC., SenM.K. and FergusonR.J.2005. Reflection traveltime sensitivity analysis for VTI media. 75th SPE meeting, Houston , Texas , USA , Expanded Abstracts, 198–201.
  14. KumarD., SenM.K. and FergusonR.J.2004. Traveltime calculation and prestack depth migration in tilted transversely isotropic media. Geophysics69, 37–44.
    [Google Scholar]
  15. LeslieJ.M. and LawtonD.C.1998. Anisotropic prestack depth migration. The Recorder 3 10, 23–26.
    [Google Scholar]
  16. MenkeW.1989. Geophysical Data Analysis: Discrete Inverse Theory . Academic Press.
    [Google Scholar]
  17. RietveldW.E.1995. Controlled illumination in prestack seismic migration . PhD thesis, Delft University of Technology, The Netherlands .
    [Google Scholar]
  18. SchneiderW.A.J., RanzingerK., BalchA. and KruseC.1992. A dynamic programming approach to first‐arrival traveltime computation in media with arbitrarily distributed velocities. Geophysics57, 39–50.
    [Google Scholar]
  19. SenM.K. and MukherjeeA.2003. τ‐p analysis in transversely isotropic media. Geophysical Journal International154, 647–658.
    [Google Scholar]
  20. ThomsenL.1986. Weak elastic anisotropy. Geophysics51, 1954–1966.
    [Google Scholar]
  21. ThorbeckeJ.W.1997. Common focus point technology . PhD thesis, Delft University of Technology, The Netherlands .
    [Google Scholar]
  22. TsvankinI. and ThomsenL.1994. Non‐hyperbolic reflection moveout in anisotropic media. Geophysics59, 1290–1304.
    [Google Scholar]
  23. TsvankinI. and ThomsenL.1995. Inversion of reflection traveltimes for transverse isotropy. Geophysics60, 1096–1108.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.2007.00658.x
Loading
/content/journals/10.1111/j.1365-2478.2007.00658.x
Loading

Data & Media loading...

  • Article Type: Research Article

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error