On the relation between codas in seismic reflection and transmission

responses

Kees WapenaarDeyan DraganovJan Thorbecke

Delft University of Technology

• Review for horizontally layered media

• Generalization for 3-D inhomogeneous media

• Conclusions

Constant

Power-flux conservation:

D U

Top:

Bottom:

D=T, U=0

Constant

Power-flux conservation:

In time domain:

In time domain:

(Claerbout, 1968)

In time domain:

(Claerbout, 1968)

Transmission response Reflection response

• Review for horizontally layered media

• Generalization for 3-D inhomogeneous media

• Conclusions

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’’

Constant

Power-flux conservation:

D U

Power reciprocity:

DB UA UBDA D U

Constant

Top:

Top:

Top:

Bottom:

Power reciprocity:

Constant

In time-domain:

i

t

Syncline model

Transmission response (fixed , variable )x Ax

Causal part of

Directly modeled reflection response

i

t

Transmission response observed at the surface from white noise sources in the subsurface

Simulated reflection response with coda10 min long recording 66 min long recording

Syncline model with reflector below the sourcesand its simulated reflection response

ghost

reflector

Syncline model with reflector below the sourcesand its simulated reflection response

ghost

reflector

36

3534

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31

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28

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).

25% of antennas in central core

High speed data transport

Antenna cluster (Station)

Central processor

X

Share infrastructure withsynthetic radio-telescope

Combined monitoring the universe and the subsurface:Different applications; shared infrastructure

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 )

• Review for horizontally layered media

• Generalization for 3-D inhomogeneous media

• Conclusions

Constant

Power-flux conservation:

D U

Power reciprocity:

DB UA UBDA D U

Constant

DB UA UBDA D U

Constant

Constant DAUB - UADB

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