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On the relation between codas in eismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

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Page 1: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

On the relation between codas in seismic reflection and transmission

responses

Kees WapenaarDeyan DraganovJan Thorbecke

Delft University of Technology

Page 2: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

• Review for horizontally layered media

• Generalization for 3-D inhomogeneous media

• Conclusions

Page 3: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Constant

Power-flux conservation:

D U

Page 4: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Top:

Page 5: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Bottom:

D=T, U=0

Page 6: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Constant

Power-flux conservation:

Page 7: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

In time domain:

Page 8: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

In time domain:

(Claerbout, 1968)

Page 9: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

In time domain:

(Claerbout, 1968)

Page 10: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Transmission response Reflection response

Page 11: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

• Review for horizontally layered media

• Generalization for 3-D inhomogeneous media

• Conclusions

Page 12: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

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’’

Page 13: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Constant

Power-flux conservation:

D U

Page 14: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Power reciprocity:

DB UA UBDA D U

Constant

Page 15: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Top:

Page 16: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Top:

Page 17: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Top:

Page 18: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Bottom:

Page 19: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Power reciprocity:

Constant

Page 20: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology
Page 21: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology
Page 22: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

In time-domain:

i

t

Page 23: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Syncline model

Page 24: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Transmission response (fixed , variable )x Ax

Page 25: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Causal part of

Page 26: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Directly modeled reflection response

Page 27: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

i

t

Page 28: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology
Page 29: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology
Page 30: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

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

Page 31: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

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

Page 32: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Syncline model with reflector below the sourcesand its simulated reflection response

ghost

reflector

Page 33: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Syncline model with reflector below the sourcesand its simulated reflection response

ghost

reflector

Page 34: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

36

3534

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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).

Page 35: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

25% of antennas in central core

High speed data transport

Antenna cluster (Station)

Central processor

X

Share infrastructure withsynthetic radio-telescope

Page 36: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

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

Page 37: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

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 )

Page 38: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

• 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 Deyan Draganov Jan Thorbecke Delft University of Technology

Constant

Power-flux conservation:

D U

Page 40: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

Power reciprocity:

DB UA UBDA D U

Constant

Page 41: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

DB UA UBDA D U

Constant

Constant DAUB - UADB

Page 42: On the relation between codas in seismic reflection and transmission responses Kees Wapenaar Deyan Draganov Jan Thorbecke Delft University of Technology

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