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Time-shift imaging condition

Learn about the time-shift imaging condition and angle decomposition for wavefield reconstruction and reflectivity analysis. Explore examples and algorithms for conventional and space-shift imaging conditions.

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Time-shift imaging condition

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  1. Time-shift imaging condition Paul Sava & Sergey Fomel Bureau of Economic Geology University of Texas at Austin paul.sava@beg.utexas.edu

  2. Imaging sketch Wavefield reconstruction Source wavefield Receiver wavefield Imaging condition Image Angle decomposition Angle-dependent reflectivity R S paul.sava@beg.utexas.edu

  3. Wavefield reconstruction paul.sava@beg.utexas.edu

  4. Wavefield reconstruction R S Source wavefield Receiver wavefield Reverse-time extrapolation Kirchhoff integral Wavefield extrapolation … paul.sava@beg.utexas.edu

  5. Imaging condition paul.sava@beg.utexas.edu

  6. Conventional imaging condition source wavefield receiver wavefield image position time paul.sava@beg.utexas.edu

  7. Conventional imaging condition Claerbout (1985) position time paul.sava@beg.utexas.edu

  8. Conventional imaging condition position frequency paul.sava@beg.utexas.edu

  9. Conventional imaging condition example distance depth paul.sava@beg.utexas.edu

  10. Space-shift imaging condition source wavefield receiver wavefield image position space-shift time paul.sava@beg.utexas.edu

  11. Space-shift imaging condition Rickett & Sava (2002) Biondi & Symes (2004) Sava & Fomel (2005) position space-shift time paul.sava@beg.utexas.edu

  12. Space-shift imaging condition position space-shift frequency paul.sava@beg.utexas.edu

  13. Space-shift imaging condition example distance depth paul.sava@beg.utexas.edu

  14. Time-shift imaging condition source wavefield receiver wavefield image position time-shift time paul.sava@beg.utexas.edu

  15. Time-shift imaging condition position time-shift time paul.sava@beg.utexas.edu

  16. Time-shift imaging condition position time-shift frequency paul.sava@beg.utexas.edu

  17. Time-shift imaging condition example distance depth paul.sava@beg.utexas.edu

  18. Imaging condition: example 1 distance t h space-shift time-shift depth depth depth paul.sava@beg.utexas.edu

  19. Imaging condition: example 2 distance t h space-shift time-shift depth depth depth paul.sava@beg.utexas.edu

  20. Imaging condition summary space-shift time-shift paul.sava@beg.utexas.edu

  21. Angle decomposition paul.sava@beg.utexas.edu

  22. Angle decomposition pr 2q pm ph ps Space-shift Time-shift paul.sava@beg.utexas.edu

  23. Vector geometry pr 2q pm ph ps Space-shift Time-shift paul.sava@beg.utexas.edu

  24. Image-space angle decomposition Space-shift Time-shift paul.sava@beg.utexas.edu

  25. Angle decomposition algorithm Space-shift Time-shift paul.sava@beg.utexas.edu

  26. Space-shift angle decomposition example distance depth paul.sava@beg.utexas.edu

  27. Time-shift angle decomposition example distance depth paul.sava@beg.utexas.edu

  28. Angle decomposition: example 1 distance q q space-shift time-shift depth depth depth paul.sava@beg.utexas.edu

  29. Angle decomposition: example 2 distance q q space-shift time-shift depth depth depth paul.sava@beg.utexas.edu

  30. Correct velocity distance q q space-shift time-shift depth depth depth paul.sava@beg.utexas.edu

  31. Incorrect velocity distance q q space-shift time-shift depth depth depth paul.sava@beg.utexas.edu

  32. Angle decomposition summary distance t q q h depth depth depth depth depth paul.sava@beg.utexas.edu

  33. Angle decomposition summary distance t q q h depth depth depth depth depth paul.sava@beg.utexas.edu

  34. Summary • Imaging condition and angle-decomposition • time-shifts of source/receiver wavefields • cheaper than space-shift imaging • storage • computations • wide applicability • migration by wavefield extrapolation • Kirchhoff migration • reverse-time migration paul.sava@beg.utexas.edu

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