1887
Volume 50 Number 6
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Wavefield depth extrapolation and prestack depth migration in complex anelastic media are studied. Kjartansson's frequency‐independent law is used to describe the absorption of seismic energy. The macromodel used is analogous to the macromodel used for current migration schemes except that an additional frequency‐independent macromodel needs to be provided. Absorption in the forward one‐way propagator is introduced by assuming a complex phase velocity, and the inverse one‐way propagator is obtained using the reciprocity theorem for one‐way wavefields in dissipative media. The stability of the inverse propagator is achieved by limiting the angle of propagation of wavefields. A table‐driven explicit operator scheme for imaging complex 2D anelastic media is presented. High‐accuracy, short convolution operators are designed by the weighted least‐squares method, and two kinds of imaging conditions are proposed. Numerical examples of depth extrapolation in laterally varying media, the migration of a spatial impulse with dispersion as well as shot record depth migration demonstrate the potential of the proposed explicit forward operator, the explicit inverse operator and the prestack depth migration scheme, respectively.

Loading

Article metrics loading...

/content/journals/10.1046/j.1365-2478.2002.00342.x
2002-11-18
2024-04-27
Loading full text...

Full text loading...

References

  1. AkiK. and RichardsP.G.1980. Quantitative Seismology. W.H. Freeman.
    [Google Scholar]
  2. AmundsenL. and MittetR.1994. Estimation of phase velocities and Q‐factors from zero‐offset vertical seismic profile data. Geophysics59, 500 – 517.
    [Google Scholar]
  3. CarcioneJ.M., KosloffD. and KosloffR.1988. Wave propagation simulation in a linear viscoelastic medium. Geophysical Journal95, 597 – 611.
    [Google Scholar]
  4. CausseE. and UrsinB.1999. Asymptotic error analysis of constant‐velocity viscoacoustic migration. Geophysics64, 1036 – 1045.
    [Google Scholar]
  5. CausseE. and UrsinB.2000. Viscoacoustic reverse‐time migration. Journal of Seismic Exploration9, 165 – 184.
    [Google Scholar]
  6. EmmerichH. and KornM.1987. Incorporation of attenuation into time‐domain computations of seismic wavefields. Geophysics52, 1252 – 1264.
    [Google Scholar]
  7. EtgenJ.1994. Stability of explicit depth extrapolation through laterally varying media. 64th SEG meeting, Los Angeles, USA, Expanded Abstracts, 1266 – 1269.
  8. GrimbergenJ.L.T., DessingF.J. and WapenaarC.P.A.1998. Modal expansion of one‐way operators in laterally varying media. Geophysics63, 995 – 1005.
    [Google Scholar]
  9. HaleD.1991. Stable explicit depth extrapolation of seismic wavefields. Geophysics56, 1770 – 1777.
    [Google Scholar]
  10. HolbergO.1988. Toward optimum one‐way wave propagation. Geophysical Prospecting36, 99 – 114.
    [Google Scholar]
  11. KeersH., VascoD.W. and JohnsonL.R.2001. Viscoacoustic crosswell imaging using asymptotic waveforms. Geophysics66, 861 – 870.
    [Google Scholar]
  12. KjartanssonE.1979. Constant Q wave propagation and attenuation. Journal of Geophysical Research84, 4737 – 4748.
    [Google Scholar]
  13. MittetR., SollieR. and HokstadK.1995. Prestack depth migration with compensation for absorption and dispersion. Geophysics60, 1485 – 1494.
    [Google Scholar]
  14. RobinsonJ.G.1979. A technique for the continuous representation of dispersion in seismic data. Geophysics44, 1345 – 1351.
    [Google Scholar]
  15. SoubarasR.1996. Explicit 3‐D migration using equiripple polynomial expansion and Laplacian synthesis. Geophysics61, 1386 – 1393.
    [Google Scholar]
  16. SteklI. and PrattR.G.1998. Accurate viscoelastic modeling by frequency‐domain finite differences using rotated operators. Geophysics63, 1779 – 1794.
    [Google Scholar]
  17. ThorbeckeJ.T. and RietveldW.E.A.1994. Optimum extrapolation operators: a comparison. 56th EAGE meeting, Vienna, Austria, Extended Abstracts, P105.
  18. WapenaarC.P.A. and BerkhoutA.J.1989. Elastic Wave Field Extrapolation. Elsevier Science Publishing Co.
    [Google Scholar]
  19. WapenaarC.P.A., DillenM.W.P. and FokkemaJ.T.2001. Reciprocity theorems for electromagnetic or acoustic one‐way wave fields in dissipative inhomogeneous media. Radio Science36, 851 – 863.
    [Google Scholar]
  20. ZhangJ., VerschuurD.J. and WapenaarC.P.A.2001. Depth migration of shot records in heterogeneous, transversely isotropic media using optimum explicit operators. Geophysical Prospecting49, 287 – 299.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1046/j.1365-2478.2002.00342.x
Loading
/content/journals/10.1046/j.1365-2478.2002.00342.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