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On the relation between codas in seismic reflection and transmission responses Kees Wapenaar

On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology. Review for horizontally layered media Generalization for 3-D inhomogeneous media Conclusions. D. U. Constant.

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On the relation between codas in seismic reflection and transmission responses Kees Wapenaar

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  1. On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

  2. Review for horizontally layered media • Generalization for 3-D inhomogeneous media • Conclusions

  3. D U Constant Power-flux conservation:

  4. Top:

  5. Bottom: D=T, U=0

  6. Constant Power-flux conservation:

  7. In time domain:

  8. In time domain: (Claerbout, 1968)

  9. In time domain: (Claerbout, 1968)

  10. Reflection response Transmission response

  11. Review for horizontally layered media • Generalization for 3-D inhomogeneous media • Conclusions

  12. Claerbout’s conjecture: ‘‘By cross-correlating noise traces recorded at two locations on the surface, we can construct the wave field that would be recorded at one of the locations if there was a source at the other’’

  13. D U Constant Power-flux conservation:

  14. DA DB D UA UB U Constant Power reciprocity:

  15. Top:

  16. Top:

  17. Top:

  18. Bottom:

  19. Constant Power reciprocity:

  20. t i In time-domain:

  21. Syncline model

  22. Transmission response (fixed , variable )

  23. Causal part of

  24. Directly modeled reflection response

  25. t i

  26. Transmission response observed at the surface from white noise sources in the subsurface

  27. 10 min long recording 66 min long recording Simulated reflection response with coda

  28. ghost reflector Syncline model with reflector below the sources and its simulated reflection response

  29. ghost reflector Syncline model with reflector below the sources and its simulated reflection response

  30. Structural trends in the subsurface of the Netherlands, with recent sources of seismicity (white circles) and contours of constant depth of the Mohorovic discontinuity (Beekman and Stephenson).

  31. Share infrastructure with synthetic radio-telescope 25% of antennas in central core X Central processor Antenna cluster (Station) High speed data transport

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

  33. Shared infrastructure

  34. Review for horizontally layered media • Generalization for 3-D inhomogeneous media • Conclusions

  35. D U Constant Power-flux conservation:

  36. DA DB D UA UB U Constant Power reciprocity:

  37. DA DB D UA UB U DAUB - UADB Constant Constant

  38. Applications: Generate reflection response from passive transmission measurements More applications: see http://www.ta.tudelft.nl/PrivatePages/ C.P.A.Wapenaar/Daylight/coda_gji.pdf

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