1. Relations between reflection and transmission responses of 3-D inhomogeneous media Kees Wapenaar Department of Applied Earth Sciences Centre for Technical Geoscience Delft University of Technology Dallas SEG 2003 October 29

2. Claerbout, 1968 SEG, 2002 Acoustic daylight imaging Berkhout, 1982 Multiple elimination Imaging from below Schuster, 2001 Seismic interferometry Herman, 1992 Wapenaar, 1993 True amplitude imaging

3. Claerbout, 1968 SEG, 2002 Acoustic daylight imaging Berkhout, 1982 Multiple elimination Imaging from below Schuster, 2001 Seismic interferometry Herman, 1992 Wapenaar, 1993 True amplitude imaging One-way reciprocity theorems

4. State A State B A A B B Reciprocity interrelates states A and B

5. State A State B A A B B Reciprocity interrelates states A and B

7. State AState B Downgoing wavesand upgoing waves One-way reciprocity theorems

8. State AState B Convolution-type propagation invariant: constant One-way reciprocity theorems

9. State AState B Convolution-type reciprocity theorem: One-way reciprocity theorems

10. State AState B Correlation-type propagation invariant: constant One-way reciprocity theorems

11. State AState B Correlation-type reciprocity theorem: One-way reciprocity theorems

12. State AState B Derivation of relations between reflection and transmission responses States A and B with or without free surface

13. State AState B Derivation of relations between reflection and transmission responses States A and B with or without free surface Convolution- or correlation-type reciprocity

14. State AState B Derivation of relations between reflection and transmission responses States A and B with or without free surface Convolution- or correlation-type reciprocity Sources at upper or lower boundary

15. State AState B States A and B without free surface Convolution-type reciprocity Sources at upper boundary One-way source-receiver reciprocity

16. State AState B 00

17. State AState B

18. States A and B without free surface Convolution-type reciprocity Sources at lower boundary

20. States A and B without free surface Convolution-type reciprocity Source A at lower and source B at upper boundary

22. State AState B States A and B with free surface Convolution-type reciprocity Sources at upper boundary

23. State AState B

24. States A and B with free surface Convolution-type reciprocity Sources at lower boundary

26. States A and B with free surface Convolution-type reciprocity Source A at lower and source B at upper boundary

28. Summary of one-way source-receiver reciprocity Without free surface: With free surface:

29. State AState B States A and B without free surface Correlation-type reciprocity Sources at upper boundary From reflection to transmission

31. Herman, 1992 Wapenaar and Herrmann, 1993 Application in inverse wave field extrapolation

32. State AState B States A and B with free surface Correlation-type reciprocity Sources at lower boundary From transmission to reflection

34. 1500 m/s 2000 m/s Acoustic daylight imaging Syncline model

35. Acoustic daylight imaging

37. Poster presentation Draganov et al.

38. State AState B State A without and state B with free surface Convolution-type reciprocity Sources at upper boundary Multiple elimination

39. Berkhout, 1982; Verschuur, Berkhout and Wapenaar, 1992 Fokkema and van den Berg, 1993, Van Borselen et al, 1996

40. Multiple elimination (van Borselen et al., 1996)

41. State AState B State A without and state B with free surface Correlation-type reciprocity Sources at upper boundary Seismic interferometry

42. Schuster, 2001, EAGE

43. Seismic interferometry

44. State AState B States A and B without free surface Correlation-type reciprocity Source A at upper and source B at lower boundary Reflection from below

46. State AState B Derivation of relations between reflection and transmission responses States A and B with or without free surface

47. State AState B Derivation of relations between reflection and transmission responses States A and B with or without free surface Convolution- or correlation-type reciprocity

48. State AState B Derivation of relations between reflection and transmission responses States A and B with or without free surface Convolution- or correlation-type reciprocity Sources at upper or lower boundary

49. Claerbout, 1968 SEG, 2002 Acoustic daylight imaging Berkhout, 1982 Multiple elimination Imaging from below Schuster, 2001 Seismic interferometry Herman, 1992 Wapenaar, 1993 True amplitude imaging One-way reciprocity theorems

50. Monitoring the universe by an array of telescopes

51. Monitoring the subsurface by an array of geophones

53. Combined monitoring the universe and the subsurface: Different applications; shared infrastructure

54. 25% of antennas in central core High speed data transport Antenna cluster (Station) Central processor X Shared infrastructure (1)

55. Shared infrastructure (2)