1. Codas in reflection and transmission responses
and their mutual relations
Kees Wapenaar
Deyan Draganov
Jan Thorbecke
Jacob Fokkema
Centre for Technical Geoscience
Delft University of Technology

2. Contents 1-D relations 3-D relations 2-D examples
From transmission to reflection
From reflection to transmission
3-D relations
Claerbout’s conjecture
One-way reciprocity theorem
2-D examples
Discussion of applications

3. Claerbout, 1968 :

4. Reflection response
Transmission response

5. With free surface :

6. Without free surface :

7. Transmission response
Reflection response

9. Contents 1-D relations 3-D relations 2-D examples
From transmission to reflection
From reflection to transmission
3-D relations
Claerbout’s conjecture
One-way reciprocity theorem
2-D examples
Discussion of applications

10. Claerbout, 1968 :

11. Claerbout’s conjecture:
‘‘By crosscorrelating 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’’

12. Reciprocity for one-way wave fields

14. From transmission to reflection :
1-Dimensional :
3-Dimensional :

15. From reflection to transmission :
1-Dimensional :
3-Dimensional : =

16. Contents 1-D relations 3-D relations 2-D examples
From transmission to reflection
From reflection to transmission
3-D relations
Claerbout’s conjecture
One-way reciprocity theorem
2-D examples
Discussion of applications

17. Syncline model

18. Reflection response
Transmission response

19. Syncline model

20. Transmission response (fixed , variable )

21. (variable )

22. Syncline model

23. (variable )

25. Causal part of

26. Directly modeled reflection response

27. Syncline model with extra layer

28. Transmission response with coda

29. Reflection response with coda

30. Contents 1-D relations 3-D relations 2-D examples
From transmission to reflection
From reflection to transmission
3-D relations
Claerbout’s conjecture
One-way reciprocity theorem
2-D examples
Discussion of applications

31. From transmission to reflection
Acoustic daylight imaging (Rickett and Claerbout , 1999)
From reflection to transmission
Construction of inverse propagation operators (Herman, 1992, Wapenaar and Herrmann, 1993)
From reflection to reflection
Interferometric imaging (Schuster, 2001)

32. = From transmission to reflection From reflection to transmission
Acoustic daylight imaging (Rickett and Claerbout , 1999)
From reflection to transmission
Construction of coda in inverse propagation operators (Herman, 1992, Wapenaar and Herrmann, 1993)
From reflection to reflection
Interferometric imaging (Schuster, 2001) =

33. From transmission to reflection
Acoustic daylight imaging (Rickett and Claerbout , 1999)
From reflection to transmission
Construction of coda in inverse propagation operators (Herman, 1992, Wapenaar and Herrmann, 1993)
From reflection to reflection
Interferometric imaging (Schuster, 2001)