green’s function representations for seismic interferometry
DESCRIPTION
Green’s function representations for seismic interferometry Kees Wapenaar 75 th SEG meeting, Houston November 8, 2005. Seismic interferometry : obtaining new seismic responses by X-correlation - PowerPoint PPT PresentationTRANSCRIPT
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Greens function representations for seismic interferometry Kees Wapenaar
75th SEG meeting, Houston November 8, 2005
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Seismic interferometry :obtaining new seismic responses by X-correlation
Claerbout, 1968 (1-D version) Schuster, 2001, 2004 (interferometric imaging) Weaver and Lobkis, 2001 (diffuse wave fields) Wapenaar, Draganov et al, 2002, 2004 (reciprocity) Derode et al., 2003 (time-reversal) Campillo and Paul, 2003 (surface waves) Snieder, 2004 (stationary phase) Bakulin and Calvert, 2004 (virtual source) Gerstoft, Sabra et al., 2004 (surface wave tomography) Van Manen, Robertsson & Curtis 2005 (modeling)
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Rayleighs reciprocity theorem:
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Rayleighs reciprocity theorem:State A
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Rayleighs reciprocity theorem:State A
State B
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Rayleighs reciprocity theorem:Time-reversal:
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Rayleighs reciprocity theorem:Time-reversal:
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Rayleighs reciprocity theorem:State A
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Rayleighs reciprocity theorem:State B
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Monopole at x
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Dipole at x
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High-frequencyapproximation
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High-frequencyapproximation
Far-field approximation(Fraunhofer)
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High-frequencyapproximation
Far-field approximation(Fraunhofer)
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Rayleighs reciprocity theorem:
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Rayleighs reciprocity theorem:Free surface
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Free surface
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Free surfaceHigh-frequencyapproximation
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Free surfaceHigh-frequencyapproximationFar-field approximation(Fraunhofer)
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Free surfaceHigh-frequencyapproximationFar-field approximation(Fraunhofer)
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Free surface
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Free surfaceUncorrelated noise sources
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Draganov and Wapenaar, Poster session PSC P1, Today
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Draganov and Wapenaar, Poster session PSC P1, Today
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Draganov and Wapenaar, Poster session PSC P1, Today
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Draganov and Wapenaar, Poster session PSC P1, Today
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Draganov et al., EAGE, 2003
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Draganov and Wapenaar, Poster session PSC P1, Today
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From acoustic ... to elastodynamic
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Draganov and Wapenaar, Poster session PSC P1, Today
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Draganov and Wapenaar, Poster session PSC P1, Today
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Draganov and Wapenaar, Poster session PSC P1, Today
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Conclusions Exact and approximate representations of Greens functions for seismic interferometry Main contributions come from stationary points Free surface obviates the need of closed integral along sources Uncorrelated noise sources obviates the need of integral along sources Random source distribution suppresses artefacts from scatterers below sources Straightforward extension to elastodynamic situation