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Theory of acoustic daylight imaging revisited
Kees WapenaarDeyan DraganovJan ThorbeckeJacob Fokkema
Centre for Technical GeoscienceDelft University of Technology
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Claerbout, 1968 :
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Transmission response Reflection response
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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’’
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0D
mD
AP
BP
AP
BP
AP
BP
AP
BP
Reciprocity for one-way wave fields
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1-Dimensional :
3-Dimensional :
Acoustic daylight imaging
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Syncline model
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Transmission response Reflection response
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Syncline model
0D
mDx
Ax Bx
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Transmission response (fixed , variable )x Ax
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(variable )x
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Syncline model
0D
mDx
Ax Bx
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(variable )Ax
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Causal part of
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Directly modeled reflection response
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Claerbout’s conjecture
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Assume uncorrelated noise sources:
Claerbout’s conjecture
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Claerbout’s conjecture
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Seismic interferometry (Schuster)
+ ‘ other stuff ’
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Seismic interferometry (Schuster)
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Summary
Acoustic daylight imaging
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Acoustic daylight imaging (uncorrelated sources)
Interferometric imaging
Summary