1887
Volume 38 Number 7
  • E-ISSN: 1365-2478

Abstract

A

A prestack reverse‐time migration algorithm which operates on common‐source gathers, recorded at the Earth's surface, from 3D structures, is conceived, implemented and tested. Reverse‐time extrapolation of the recorded wavefield (a boundary‐value problem), and computation of the excitation‐time imaging condition for each point in a 3D volume (an initial‐value problem), are both performed using a second‐order finite‐difference solution of the full 3D scalar wave equation. The algorithm is illustrated by processing synthetic data for a point diffractor, an oblique wedge, and the French double dome and fault model.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1990.tb01872.x
2006-04-27
2024-04-26
Loading full text...

Full text loading...

References

  1. Aboudi, J.1971. Numerical simulation of seismic sources. Geophysics36, 810–821.
    [Google Scholar]
  2. Berkhout, A.J. and de Jong, B.A.1981. Recursive migration in three dimensions. Geophysical Prospecting29, 758–781.
    [Google Scholar]
  3. Blacquière, G., Debeye, H.W.J., Wapenaar, C.P.A. and Berkhout, A.J.1988. Three‐dimensional table‐driven migration. 58th SEG meeting, Anaheim , CA , Expanded Abstracts, 979–982.
    [Google Scholar]
  4. Botelho, M.A.B. and Stoffa, P.L.1988. Velocity analysis using reverse‐time migration (Abstract). EOS49, 1326.
    [Google Scholar]
  5. Chang, W.F. and McMechan, G.A.1986. Reverse‐time migration of offset VSP data using the excitation time imaging condition. Geophysics51, 67–84.
    [Google Scholar]
  6. Chang, W.F. and McMechan, G.A.1987. Elastic reverse‐time migration. Geophysics52, 1365–1375.
    [Google Scholar]
  7. Chang, W.F. and McMechan, G.A.1989a. 3D acoustic reverse‐time migration. Geophysical Prospecting37, 243–256.
    [Google Scholar]
  8. Chang, W.F. and McMechan, G.A.1989b. Absorbing boundary conditions for 3D acoustic and elastic finite‐difference calculations. Bulletin of the Seismological Society of America79, 211–218.
    [Google Scholar]
  9. Claerbout, J.F.1971. Toward a unified theory of reflector mapping. Geophysics36, 467–481.
    [Google Scholar]
  10. Claerbout, J.F.1976. Fundamentals of Geophysical Data Processing. McGraw‐Hill Book Co.
    [Google Scholar]
  11. Dickinson, J.A.1988. Evaluation of two‐pass three‐dimensional migration. Geophysics53, 32–49.
    [Google Scholar]
  12. Esmersoy, C. and Oristaglio, M.1988. Reverse‐time wave‐field extrapolation, imaging, and inversion. Geophysics53, 920–931.
    [Google Scholar]
  13. Fornberg, B.1987. The pseudospectral method: comparisons with finite differences for the elastic wave equation. Geophysics52, 483–501.
    [Google Scholar]
  14. French, W.S.1974. Two‐dimensional and three‐dimensional migration of model‐experiment reflection profiles. Geophysics39, 265–277.
    [Google Scholar]
  15. Gibson, B., Larner, K. and Levin, S.1983. Efficient 3D migration in two steps. Geophysical Prospecting31, 1–33.
    [Google Scholar]
  16. Herman, A. J., Anania, R.M., Chun, J.H., Jacewitz, CA. and Pepper, R.E.F.1982. A fast three‐dimensional modeling technique and fundamentals of three‐dimensional frequency‐domain migration. Geophysics47, 1627–1644.
    [Google Scholar]
  17. Hu, L.Z. and McMechan, G.A.1986. Migration of VSP data by ray equation extrapolation in 2D variable velocity media. Geophysical Prospecting34, 704–734.
    [Google Scholar]
  18. Hu, L.Z. and McMechan, G.A.1988. Elastic finite‐difference modelling and imaging of earthquake sources. Geophysical Journal of the Royal Astronomical Society95, 303–313.
    [Google Scholar]
  19. Hu, L.Z., McMechan, G.A. and Harris, J.M.1988. Acoustic prestack migration of crosshole data. Geophysics53, 1015–1023.
    [Google Scholar]
  20. Jain, S. and Wren, A.E.1980. Migration before stack ‐ procedure and significance. Geophysics45, 204–212.
    [Google Scholar]
  21. Jakubowicz, H. and Levin, S.1983. A simple exact method of 3D migration. Geophysical Prospecting31, 34–56.
    [Google Scholar]
  22. Karrenbach, M. and Gardner, G.H.F.1988. Three‐dimensional time slice migration. 58th SEG meeting, Anaheim , CA , Expanded Abstracts, 983–987.
    [Google Scholar]
  23. Kitchensside, P.1988. Steep dip 3D migration: some issues and examples. 58th SEG meeting, Anaheim , CA , Expanded Abstracts, 976–977.
    [Google Scholar]
  24. Kuo, J.T. and Dai, T.F.1984. Kirchhoff elastic wave migration for the case of non‐coincident source and receiver. Geophysics49, 1223–1238.
    [Google Scholar]
  25. Loewenthal, D., Stoffa, P.L. and Faria, E.L.1987. Suppressing the unwanted reflections of the full wave equation. Geophysics52, 1007–1012.
    [Google Scholar]
  26. McMechan, G.A. and Chen, H.W.1990. Implicit static corrections in prestack migration of common‐source data. Geophysics55, 757–760.
    [Google Scholar]
  27. McMechan, G.A. and Hu, L.Z.1986. On the effect of recording aperture in migration of vertical seismic profile data. Geophysics51, 2007–2010.
    [Google Scholar]
  28. McMechan, G.A., Luetgert, J.H. and Mooney, W.D.1985. Imaging of earthquake sources in Long Valley Caldera, California. Bulletin of the Seismological Society of America75, 1005–1020.
    [Google Scholar]
  29. Mitchell, A.R.1969. Computational Methods in Partial Differential Equations. John Wiley & Sons, Inc.
    [Google Scholar]
  30. Musgrave, A.W.1961. Wavefront charts and three‐dimensional migrations. Geophysics26, 738–753.
    [Google Scholar]
  31. Reshef, M. and Kosloff, D.1986. Migration of common‐shot gathers. Geophysics51, 324–331.
    [Google Scholar]
  32. Sattlegger, J.1964. Series for three‐dimensional migration in reflection seismic interpretation. Geophysical Prospecting12, 115–134.
    [Google Scholar]
  33. Schneider, W.A.1978. Integral formulation for migration in two and three dimensions. Geophysics43, 49–76.
    [Google Scholar]
  34. Stolt, R.H.1978. Migration by Fourier transforms. Geophysics43, 23–48.
    [Google Scholar]
  35. Sun, R. and McMechan, G.A.1986. Pre‐stack reverse‐time migration for elastic waves with application to synthetic offset vertical seismic profiles. Proceedings of the Institute of Electrical and Electronic Engineers74, 457–465.
    [Google Scholar]
  36. Teng, Y.C., Dai, T.F. and Kuo, J.T.1986. Finite‐element reverse‐time migration for elastic waves. 56th SEG meeting, Houston , TX , Expanded Abstracts, 611–614.
    [Google Scholar]
  37. Vidale, J.1988. Finite‐difference calculation of travel times. Bulletin of the Seismological Society of America78, 2062–2076.
    [Google Scholar]
  38. Wapenaar, C.P.A., Kinneging, N.A. and Berkhout, A.J.1987. Principle of prestack migration based on the full elastic two‐way wave equation. Geophysics52, 151–173.
    [Google Scholar]
  39. Wen, J. and McMechan, G.A.1987. Three‐dimensional kinematic imaging in variable velocity media. Geophysical Prospecting35, 250–266.
    [Google Scholar]
  40. Wen, J., McMechan, G.A. and Booth, M.W.1988. Three‐dimensional modeling and migration of seismic waves using Fourier transforms. Geophysics53, 1194–1201.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1990.tb01872.x
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