1887
Volume 64, Issue 6
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

We present an overall description of moveout formulas of P–SV converted waves in vertically inhomogeneous transversely isotropic media with a vertical symmetry axis by using the generalized moveout approximation. The term “generalized” means that this approximation can be reduced to some existing approximations by specific selections of parameters, which provides flexibility in application depending on objectives. The generalized moveout approximation is separately expressed in the phase and group domains. All five parameters of the group domain (or phase domain) generalized moveout approximation are determined using the zero offset (or horizontal slowness) ray and an additional nonzero offset (or horizontal slowness) ray. We discuss the selection of parameters to link the generalized moveout approximation to some existing approximations. The approximations presented are tested on homogeneous, factorized, and layered transversely isotropic models. The results illustrate that utilizing an additional reference ray significantly improves the accuracy of phase‐domain and group‐domain moveout approximations for a large range of horizontal slownesses and source–receiver offsets.

Loading

Article metrics loading...

/content/journals/10.1111/1365-2478.12353
2015-12-02
2024-04-23
Loading full text...

Full text loading...

References

  1. AlkhalifahT.1995. Efficient synthetic‐seismogram generation in transversely isotropic, inhomogeneous media. Geophysics60, 1139–1150.
    [Google Scholar]
  2. AlkhalifahT.1997. Velocity analysis using nonhyperbolic moveout in transversely isotropic media. Geophysics62, 1839–1854.
    [Google Scholar]
  3. AlkhalifahT.2011. Traveltime approximations for transversely isotropic media with an inhomogeneous background. Geophysics76, WA31–42.
    [Google Scholar]
  4. AlkhalifahT. and TsvankinI.1995. Velocity analysis for transversely isotropic media. Geophysics60, 1550–1566.
    [Google Scholar]
  5. van der BannM. and KendallJ.‐M.2002. Estimating anisotropy parameters and traveltimes in the τ;‐p domain. Geophysics67, 1076–1086.
    [Google Scholar]
  6. van der BannM. and KendallJ.‐M.2003. Traveltime and conversion‐point computations and parameter estimation in layered, anisotropic media by τ‐p transform. Geophysics68, 210–224.
    [Google Scholar]
  7. CaiP. and TsvankinI.2013. Joint migration velocity analysis of PP‐ and PS‐waves for VTI media. Geophysics78, WC123–WC135.
    [Google Scholar]
  8. DewanganP. and TsvankinI.2006. Velocity‐independent layer stripping of PP and PS reflection traveltimes. Geophysics71, U59–U65.
    [Google Scholar]
  9. DieboldJ.B. and StoffaP.L.1981. The traveltime equation, tau‐p mapping, and inversion of common midpoint data. Geophysics46, 238–254.
    [Google Scholar]
  10. DoumaH. and CalvertA.2006. Nonhyperbolic moveout analysis in VTI media using rational interpolation. Geophysics71, D59–D71.
    [Google Scholar]
  11. FomelS.2002. Applications of plane‐wave destruction filters. Geophysics67, 1946–1960.
    [Google Scholar]
  12. FomelS. and StovasA.2010. Generalized nonhyperbolic moveout approximation. Geophysics75, U9–U18.
    [Google Scholar]
  13. FossS.K., UrsinB. and de HoopM.C.2005. Depth‐consistent reflection tomography using PP and PS seismic data. Geophysics70, U51–U65.
    [Google Scholar]
  14. FowlerP.J., JacksonA., GaffneyJ. and BorehamD.2008. Direct nonlinear traveltime inversion in layered VTI media. 78th SEG meeting, Las Vegas, USA, Expanded Abstract, 3028–3032.
  15. GrechkaV., TsvankinI., BakulinA., HansenJ.O. and SignerC.2002. Joint inversion of PP and PS reflection data for VTI media: A North Sea case study. Geophysics67, 1382–1395.
    [Google Scholar]
  16. HaugenJ.A., UrsinB. and StovasA.2007. Sensitivity of Dix‐type inverse formulae. Journal of Geophysics and Engineering4, 404–414.
    [Google Scholar]
  17. LiX.‐Y. and YuanJ.2003. Converted‐wave moveout and conversion‐point equations in layered VTI media: theory and applications. Journal of Applied Geophysics54, 297–318.
    [Google Scholar]
  18. MasoomzadehH., SinghS.C. and BartonP.J.2012. Shifted‐elliptical nonstretch moveout correction of wide‐angle seismic data in the τ‐p domain, using an example from the Faeroe‐Shetland Basin. Geophysics77, B227–B236.
    [Google Scholar]
  19. SchleicherJ., CostaJ.C., SantosL.T., NovaisA. and TygelM.2009. On the estimation of local slopes. Geophysics74, P25–P33.
    [Google Scholar]
  20. SenM. and MukherjeeA.2003. τ‐p analysis in transversely isotropic media. Geophysical Journal International154, 647–658.
    [Google Scholar]
  21. StewartR.R., GaiserJ.E., BrownR.J. and LawtonD.C.2002. Converted‐wave seismic exploration: Methods. Geophysics67, 1348–1363.
    [Google Scholar]
  22. StovasA.2010a. Generalized moveout approximation for qP‐ and qSV waves in a homogeneous transversely isotropic medium. Geophysics75, D79–D84.
    [Google Scholar]
  23. StovasA.2010b. Kinematical characteristics of the factorized velocity model. Geophysical Prospecting58, 219–227.
    [Google Scholar]
  24. StovasA. and UrsinB.2004. New travel‐time approximations for a transversely isotropic medium. Journal of Geophysics and Engineering1, 128–133.
    [Google Scholar]
  25. StovasA. and FomelS.2012a. Generalized nonhyperbolic moveout apprimation in τ;‐p domain. Geophysics77, U23–U30.
    [Google Scholar]
  26. StovasA. and FomelS.2012b. Shifted hyperbola moveout approximation revisited. Geophysical Prospecting60, 395–399.
    [Google Scholar]
  27. ThomsenL.1986. Weak elastic anisotropy. Geophysics51, 1954–1966.
    [Google Scholar]
  28. ThomsenL.1999. Converted‐wave reflection seismology over inhomogeneous anisotropic media. Geophysics64, 678–690.
    [Google Scholar]
  29. TianY. and ChenX.2005. A rapid and accurate two‐point ray tracing method in horizontally layered velocity model. Acta Seismologica Sinica18, 154–161.
    [Google Scholar]
  30. TsvankinI. and ThomsenL.1994. Nonhyperbolic reflection moveout in anisotropic media. Geophysics59, 1290–1304.
    [Google Scholar]
  31. TsvankinI.2001. Seismic Signatures and Analysis of Reflection Data in Anisotropic Media, 1st edn. Elsevier Publishing Company, Inc.
    [Google Scholar]
  32. UrsinB. and StovasA.2005. Generalized Dix equations for a layered transversely isotropic medium. Geophysics70, D77–D81.
    [Google Scholar]
  33. UrsinB. and StovasA.2006. Traveltime approximations for a layered transversely isotropic medium. Geophysics71, D23–D33.
    [Google Scholar]
  34. WangX. and TsvankinI.2009. Estimation of interval anisotropy parameters using velocity‐independent layer stripping. Geophysics74, WB117–WB127.
    [Google Scholar]
  35. WangX. and TsvankinI.2013. Multiparameter TTI tomography of P‐wave reflection and VSP data. Geophysics78, WC51–WC63.
    [Google Scholar]
  36. WaheedU., AlkhalifahT. and StovasA.2013. Diffraction traveltime approximations for TI media with an inhomogeneous background. Geophysics78, C139–C147.
    [Google Scholar]
  37. ZhangF. and UrenN.2001. Approximate explicit ray velocity functions and travel times for P‐waves in TI media. 71st SEG meeting, San Antonio, USA, Expanded Abstracts, 106–109.
http://instance.metastore.ingenta.com/content/journals/10.1111/1365-2478.12353
Loading
/content/journals/10.1111/1365-2478.12353
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): Converted wave; TI; Travel time

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