Theory of acoustic daylight imaging revisited

Kees WapenaarDeyan DraganovJan ThorbeckeJacob Fokkema

Centre for Technical GeoscienceDelft University of Technology

Claerbout, 1968 :

Transmission response Reflection response

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’’

0D

mD

AP

BP

AP

BP

AP

BP

AP

BP

Reciprocity for one-way wave fields

1-Dimensional :

3-Dimensional :

Acoustic daylight imaging

Syncline model

Transmission response Reflection response

Syncline model

0D

mDx

Ax Bx

Transmission response (fixed , variable )x Ax

(variable )x

Syncline model

0D

mDx

Ax Bx

(variable )Ax

Causal part of

Directly modeled reflection response

Claerbout’s conjecture

Assume uncorrelated noise sources:

Claerbout’s conjecture

Claerbout’s conjecture

Seismic interferometry (Schuster)

+ ‘ other stuff ’

Seismic interferometry (Schuster)

Summary

Acoustic daylight imaging

Acoustic daylight imaging (uncorrelated sources)

Interferometric imaging

Summary