Depth migration of shot records in heterogeneous, transversely isotropic media using optimum explicit operators

References

1. AbramowitzM. & StegunI.A.1970. Handbook of Mathematical Functions . Dover Publications, Inc.
2. AlkhalifahT.1995. Gaussian beam depth migration for anisotropic media. Geophysics60, 1474–1484.
   [Google Scholar]
3. BallG.1995. Estimation of anisotropy and anisotropic 3D prestack depth migration, offshore Zaire. Geophysics60, 1495–1513.
   [Google Scholar]
4. BerkhoutA.J.1982. Seismic Migration, Imaging of Acoustic Energy by Wave Field Extrapolation, A: Theoretical Aspects . Elsevier Science Publishing Co.
5. BlacquièreG., DebeyeH.W.J., WapenaarC.P.A., BerkhoutA.J.1989. 3D table‐driven migration. Geophysical Prospecting37, 925–958.
   [Google Scholar]
6. ByunB.B.1984. Seismic parameters for transversely isotropic media. Geophysics49, 1908–1914.
   [Google Scholar]
7. CrampinS., ChesnokovE.M., HipkinR.A.1984. Seismic anisotropy – the state of the art. Geophysical Journal of the Royal Astronomical Society76, 1–16.
   [Google Scholar]
8. EtgenJ.1994. Stability of explicit depth extrapolation through laterally‐varying media. 64th SEG meeting, Los Angeles, USA, Expanded Abstracts, 1266–1269.
9. FergusonR.J. & MargraveG.F.1998. Depth migration in TI media by non‐stationary phase shift. 68th SEG meeting, New Orleans, USA, Expanded Abstracts, 1831–1834.
10. FletcherR.1981. Practical Method of Optimization, Volume 2, Constrained Optimization . John Wiley & Sons, Inc.
11. HaleD.1991a. 3D depth migration via McClellan transformations. Geophysics56, 1778–1785.
    [Google Scholar]
12. HaleD.1991b. Stable explicit depth extrapolation of seismic wavefields. Geophysics56, 1770–1777.
    [Google Scholar]
13. HolbergO.1988. Toward optimum one‐way wave propagation. Geophysical Prospecting36, 99–114.
    [Google Scholar]
14. KitchensideP.W.1993. 2D anisotropic migration in the space–frequency domain. Journal of Seismic Exploration2, 7–22.
    [Google Scholar]
15. LarnerK. & CohenJ.1993. Migration error in transversely isotropic media with linear velocity variation in depth. Geophysics58, 1454–1467.
    [Google Scholar]
16. Le RousseauJ.H.1997. Depth migration in heterogeneous, transversely isotropic media with the phase‐shift‐plus‐interpolation method. 67th SEG meeting, Dallas, USA, Expanded Abstracts, 1703–1706.
17. LevinF.K.1979. Seismic velocities in transversely isotropic media. Geophysics44, 918–936.
    [Google Scholar]
18. MartinD., EhingerA., RasolofosaonP.N.J.1992. Some aspects of seismic modelling and imaging in anisotropic media using laser ultrasonics. 62nd SEG meeting, New Orleans, USA, Expanded Abstracts, 1373–1376.
19. NautiyalA., GrayS.H., WhitmoreN.D., GaringJ.D.1993. Stability versus accuracy for an explicit wavefield extrapolation operator. Geophysics58, 277–283.
    [Google Scholar]
20. RistowD.1999. Migration of transversely isotropic media using implicit finite‐difference operators. Journal of Seismic Exploration8, 39–55.
    [Google Scholar]
21. SayersC.M.1994. The elastic anisotropy of shales. Journal of Geophysical Research99, 767–774.
    [Google Scholar]
22. SenaA.G. & ToksözM.N.1993. Kirchhoff migration and velocity analysis for converted and non‐converted waves in anisotropic media. Geophysics58, 265–276.
    [Google Scholar]
23. ThomsenL.1986. Weak elastic anisotropy. Geophysics51, 1954–1966.
    [Google Scholar]
24. ThorbeckeJ.T.1997. Common focus point technology. PhD thesis, Delft University of Technology.
25. ThorbeckeJ.W. & RietveldW.E.A.1994. Optimum extrapolation operators – a comparison. 56th EAGE meeting, Vienna, Austria, Extended Abstracts, P105.
26. TsvankinI.1996. P‐wave signatures and notation for transversely isotropic media: an overview. Geophysics61, 467–483.
    [Google Scholar]
27. TsvankinI. & ThomsenL.1994. Non‐hyperbolic reflection moveout in anisotropic media. Geophysics59, 1290–1304.
    [Google Scholar]
28. UzcateguiO.1995. 2D depth migration in transversely isotropic media using explicit operators. Geophysics60, 1819–1829.
    [Google Scholar]
29. ZhangJ. & VerschuurD.J.1999. Seismic modelling in anisotropic media using grid method. 61st EAGE conference, Helsinki, Finland, Extended Abstracts, 4‐25.