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Seismic interferometry for passive and exploration data: reconstruction of internal multiples

Seismic interferometry for passive and exploration data: reconstruction of internal multiples Kees Wapenaar 76 th SEG meeting, New Orleans October 3, 2006. Seismic interferometry : obtaining new seismic responses by X-correlation Claerbout, 1968 (1-D version)

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Seismic interferometry for passive and exploration data: reconstruction of internal multiples

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  1. Seismic interferometry for passive and exploration data: reconstruction of internal multiples Kees Wapenaar 76th SEG meeting, New Orleans October 3, 2006

  2. Seismic interferometry : • obtaining new seismic responses by X-correlation • Claerbout, 1968 (1-D version) • Schuster, 2001, 2004 (interferometric imaging) • Weaver and Lobkis, 2001 (diffuse wave fields) • Wapenaar, Draganov et al., 2002, 2004 (reciprocity) • Derode et al., 2003 (time-reversal) • Campillo and Paul, 2003 (surface waves) • Berkhout and Verschuur, 2003 (primaries from multiples) • Snieder, 2004 (stationary phase) • Bakulin and Calvert, 2004 (virtual source) • Gerstoft, Sabra et al., 2004 (surface wave tomography) • Van Manen, Robertsson & Curtis, 2005 (modeling)

  3. Modification for passive data

  4. Modification for exploration data

  5. Monopole at x

  6. Dipole at x

  7. High-frequency approximation

  8. High-frequency approximation Far-field approximation (Fraunhofer)

  9. High-frequency approximation Far-field approximation (Fraunhofer)

  10. 0

  11. Uncorrelated noise sources:

  12. Uncorrelated noise sources:

  13. Modification for passive data

  14. Free surface

  15. High-frequency approximation Free surface

  16. High-frequency approximation Free surface Far-field approximation (Fraunhofer)

  17. High-frequency approximation Free surface Far-field approximation (Fraunhofer)

  18. Free surface

  19. Free surface Uncorrelated noise sources

  20. Draganov and Wapenaar, SEG 2005

  21. Draganov and Wapenaar, SEG 2005

  22. Draganov and Wapenaar, SEG 2005

  23. Real data application: Draganov et al. Seismic interferometry on background-noise field data Tomorrow, 8:30 AM, session CH 4, room 278

  24. Modification for exploration data

  25. 0 2 4 6 10

  26. (a) (b) (c) (d) 0 2 4 6 10 0 2 4 6 10

  27. (a) (b) (c) (d) 0 2 4 6 10 0 2 4 6 10 -4 -2 0 4

  28. (a) (b) (c) (d) 0 2 4 6 10 0 2 4 6 10 -4 -2 0 4 -4 -2 0 4

  29. Analysis of integral over for Hence, integral over alone is not sufficient

  30. Analysis of integral over for Hence, integral over alone is sufficient ! ‘Sufficiently inhomogeneous’

  31. 25 layers

  32. 250 layers

  33. 250 layers

  34. 3000 2000 1500 (a) 1000 0 1000 2000 3000 5000 0 1 2 3 5 (b) 0 1000 2000 3000 5000 1.0 0.6 0.4 0.2 0.0 (c) 0 1000 2000 3000 5000

  35. 3000 2000 1500 (a) 1000 0 1000 2000 3000 5000 0 1 2 3 5 (b) 0 1000 2000 3000 5000 1.0 0.6 0.4 0.2 0.0 (c) 0 1000 2000 3000 5000

  36. 3000 2000 1500 (a) 1000 0 1000 2000 3000 5000 0 1 2 3 5 (b) 0 1000 2000 3000 5000 1.0 0.6 0.4 0.2 0.0 (c) 0 1000 2000 3000 5000

  37. 3000 2000 1500 (a) 1000 0 1000 2000 3000 5000 0 1 2 3 5 (b) 0 1000 2000 3000 5000 1.0 0.6 0.4 0.2 0.0 (c) 0 1000 2000 3000 5000

  38. (a) (b) (c) (d) 25 layers 0 2 4 6 10 0 2 4 6 10 -4 -2 0 4 -4 -2 0 4

  39. (a) (b) (c) (d) 250 layers 0 2 4 6 10 0 2 4 6 10 -4 -2 0 4 -4 -2 0 4

  40. Observations: • Exact reconstruction possible from sources on alone • The full coda contributes to the reconstruction of early arrivals: • Hence, (much) longer registrations required • To be investigated: • Stability (Snieder and Scales) • More realistic configurations • Comparison with virtual source (Bakulin and Calvert) • Comparison with primaries from multiples (Berkhout and Verschuur) • Effect of anelastic losses • Elastodynamic extension

  41. Seismic interferometry for multicomponent exploration data From 3-component data to 3x3 component data

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