theory of acoustic daylight imaging revisited kees wapenaar deyan draganov jan thorbecke jacob...
TRANSCRIPT
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