1887
Volume 62, Issue 3
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

We reformulate the equation of reverse‐time migration so that it can be interpreted as summing data along a series of hyperbola‐like curves, each one representing a different type of event such as a reflection or multiple. This is a generalization of the familiar diffraction‐stack migration algorithm where the migration image at a point is computed by the sum of trace amplitudes along an appropriate hyperbola‐like curve. Instead of summing along the curve associated with the primary reflection, the sum is over all scattering events and so this method is named generalized diffraction‐stack migration. This formulation leads to filters that can be applied to the generalized diffraction‐stack migration operator to mitigate coherent migration artefacts due to, e.g., crosstalk and aliasing. Results with both synthetic and field data show that generalized diffraction‐stack migration images have fewer artefacts than those computed by the standard reverse‐time migration algorithm. The main drawback is that generalized diffraction‐stack migration is much more memory intensive and I/O limited than the standard reverse‐time migration method.

Loading

Article metrics loading...

/content/journals/10.1111/1365-2478.12086
2014-01-27
2020-04-09
Loading full text...

Full text loading...

References

  1. AbmaR., SunJ. and BernitsasN.1999. Antialiasing methods in Kirchhoff migration. Geophysics64, 1783–1792.
    [Google Scholar]
  2. BiondiB.2001. Kirchhoff imaging beyond aliasing: Geophysics, 66, 654–666.
    [Google Scholar]
  3. ClaerboutJ.1976. Fundamentals of Geophysical Data Processing. Blackwell Science Ltd.
    [Google Scholar]
  4. ClaerboutJ.1992. Earth Soundings Analysis: Processing Versus Inversion. Blackwell Science Ltd.
    [Google Scholar]
  5. DongS., LuoY., XiaoX., Chávez‐PérezS. and SchusterG.T.2009. Fast 3D target‐oriented reverse‐time datuming. Geophysics74, WCA141–WCA151.
    [Google Scholar]
  6. DragosetB.1999. A practical approach to surface multiple attenuation. The Leading Edge18, 104–108.
    [Google Scholar]
  7. EhingerA., LaillyP. and MarfurtK.1996. Green's function implementation of common‐offset, wave‐equation migration. Geophysics61, 1813–1821.
    [Google Scholar]
  8. FeiT.W., LuoY., AramcoS. and SchusterG.T.2010. De‐blending reverse‐time migration. SEG Technical Program Expanded Abstracts29, 3130–3134.
    [Google Scholar]
  9. FletcherR.F., FowlerP., KitchensideP. and AlbertinU.2005. Suppressing artefacts in prestack reverse time migration. SEG Technical Program Expanded Abstracts24, 2049–2051.
    [Google Scholar]
  10. FrenchW.S.1974. Two‐dimensional and three‐dimensional migration of model‐ experiment reflection profiles. Geophysics39, 265–277.
    [Google Scholar]
  11. GrayS.H.1992. Frequency‐selective design of the Kirchhoff migration operator. Geophysical Prospecting40, 565–571.
    [Google Scholar]
  12. GuittonA., KaelinB. and BiondiB.2007. Least‐squares attenuation of reverse‐time‐ migration artefacts. Geophysics72, S19–S23.
    [Google Scholar]
  13. HuL. and McMechanG.1987. Wavefield transformations of vertical seismic profiles. Geophysics52, 307–321.
    [Google Scholar]
  14. LiuW. and WangY.2008. Target‐oriented reverse time migration for two‐way prestack depth imaging. SEG Technical Program Expanded Abstracts27, 2326–2330.
    [Google Scholar]
  15. LiuF., ZhangG., MortonS.A. and LeveilleJ.P.2007. Reverse‐time migration using one‐way wavefield imaging condition. SEG Technical Program Expanded Abstracts26, 2170–2174.
    [Google Scholar]
  16. LiuF., ZhangG., MortonS.A. and LeveilleJ.P.2011. An effective imaging condition for reverse‐time migration using wavefield de‐ composition. Geophysics76, S29–S39.
    [Google Scholar]
  17. LoewenthalD., StoffaP.L. and FariaE.L.1987. Suppressing the unwanted reflections of the full wave equation. Geophysics52, 1007–1012.
    [Google Scholar]
  18. LumleyD.E., ClaerboutJ.F. and BevcD.1994. Anti‐aliased Kirchhoff 3‐D migration. SEG Technical Program Expanded Abstracts13, 1282–1285.
    [Google Scholar]
  19. LuoY. and SchusterG.T.1992. Wave packet transform and data compression. SEG Technical Program Expanded Abstracts11, 1187–1190.
    [Google Scholar]
  20. McMechanG.A.1983. Migration by extrapolation of time‐dependent boundary values. Geophysical Prospecting31, 413–420.
    [Google Scholar]
  21. MoraP.1989. Inversion = migration + tomography. Geophysics54, 1575–1586.
    [Google Scholar]
  22. MulderW.A. and PlessixR.‐E.2003. One‐way and two‐way wave‐equation migration. SEG Technical Program Expanded Abstracts22, 881–884.
    [Google Scholar]
  23. NemethT., WuC. and SchusterG.1999. Least‐squares migration of incomplete reflection data. Geophysics64, 208–221.
    [Google Scholar]
  24. SchusterG.T.2002. Reverse‐time migration = generalized diffraction stack migration. SEG Technical Program Expanded Abstracts21, 1280–1283.
    [Google Scholar]
  25. StoltR.H. and BensonA.K.1987. Seismic migration: Theory and practice, vol. 5 of the handbook of geophysical exploration. The Journal of the Acoustical Society of America81, 1651–1652.
    [Google Scholar]
  26. ThorsonJ. and ClaerboutJ.1985. Velocity‐stack and slant‐stack stochastic inversion. Geophysics50, 2727–2741.
    [Google Scholar]
  27. WhitmoreN.D.1983. Iterative depth migration by backward time propagation. SEG Technical Program Expanded Abstracts2, 382–385.
    [Google Scholar]
  28. YilmazÖ. 2001. Seismic data analysis: Processing, inversion, and interpretation of seismic Data. Society of Exploration Geophysicists.
    [Google Scholar]
  29. YoonK. and MarfurtK.J.2006. Reverse time migration using the Poynting vector. Exploration Geophysics37, 102–107.
    [Google Scholar]
  30. YoonK., MarfurtK.J. and StarrW.2004. Challenges in reverse‐time migration. SEG Technical Program Expanded Abstracts23, 1057–1060.
    [Google Scholar]
  31. ZhanG., LuoY. and SchusterG.T.2010. Modified form of reverse time migration tuned to multiple. 72nd Annual Conference and Exhibition, EAGE, Extended Abstracts, P594.
  32. ZhanG. and SchusterG.T.2010. Skeletonized least squares wave equation migration. SEG Technical Program Expanded Abstracts29, 3380–3384.
    [Google Scholar]
  33. ZhangY., SunJ.C. and GrayS.H.2003. Aliasing in wavefield extrapolation prestack migration. Geophysics68, 629–633.
    [Google Scholar]
  34. ZhouM. and SchusterG.T.2002. Wave‐equation wavefront migration. SEG Technical Program Expanded Abstracts21, 1292–1295.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/1365-2478.12086
Loading
/content/journals/10.1111/1365-2478.12086
Loading

Data & Media loading...

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