On the relation between codas in seismic reflection and transmission responses Kees Wapenaar
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![Page 1: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar](https://reader031.fdocuments.in/reader031/viewer/2022032708/56812ddc550346895d932e54/html5/thumbnails/1.jpg)
On the relation between codas in seismic reflection and transmission
responses
Kees WapenaarDeyan DraganovJan Thorbecke
Delft University of Technology
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• Review for horizontally layered media
• Generalization for 3-D inhomogeneous media
• Conclusions
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Constant
Power-flux conservation:
D U
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Top:
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Bottom:
D=T, U=0
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Constant
Power-flux conservation:
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In time domain:
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In time domain:
(Claerbout, 1968)
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In time domain:
(Claerbout, 1968)
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Transmission response Reflection response
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• Review for horizontally layered media
• Generalization for 3-D inhomogeneous media
• Conclusions
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Claerbout’s conjecture:
‘‘By cross-correlating 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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Constant
Power-flux conservation:
D U
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Power reciprocity:
DB UA UBDA D U
Constant
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Top:
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Top:
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Top:
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Bottom:
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Power reciprocity:
Constant
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In time-domain:
i
t
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Syncline model
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Transmission response (fixed , variable )x Ax
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Causal part of
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Directly modeled reflection response
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i
t
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Transmission response observed at the surface from white noise sources in the subsurface
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Simulated reflection response with coda10 min long recording 66 min long recording
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Syncline model with reflector below the sourcesand its simulated reflection response
ghost
reflector
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Syncline model with reflector below the sourcesand its simulated reflection response
ghost
reflector
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36
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Structural trends in the subsurface of the Netherlands,with recent sources of seismicity (white circles) and contours of constant depth of the Mohorovic discontinuity (Beekman and Stephenson).
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25% of antennas in central core
High speed data transport
Antenna cluster (Station)
Central processor
X
Share infrastructure withsynthetic radio-telescope
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Combined monitoring the universe and the subsurface:Different applications; shared infrastructure
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Shared infrastructure
1 3 0 0 0 D a ta F a b ric s
o n-line hyb rid d ata p ro c es s ing c lus terU s er p o s t p ro c es s ing
D ata P ro c es s ing P lant
C o ntro l C enter(s )
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• Review for horizontally layered media
• Generalization for 3-D inhomogeneous media
• Conclusions
![Page 39: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar](https://reader031.fdocuments.in/reader031/viewer/2022032708/56812ddc550346895d932e54/html5/thumbnails/39.jpg)
Constant
Power-flux conservation:
D U
![Page 40: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar](https://reader031.fdocuments.in/reader031/viewer/2022032708/56812ddc550346895d932e54/html5/thumbnails/40.jpg)
Power reciprocity:
DB UA UBDA D U
Constant
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DB UA UBDA D U
Constant
Constant DAUB - UADB
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Applications:
Generate reflection response from passive transmission measurements
More applications: see http://www.ta.tudelft.nl/PrivatePages/C.P.A.Wapenaar/Daylight/coda_gji.pdf