Theory of acoustic daylight imaging revisited Kees Wapenaar Deyan Draganov Jan Thorbecke Jacob Fokkema Centre for Technical Geoscience Delft University.

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