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Seismic interferometry, time-reversal, and reciprocity Kees Wapenaar, Jacob Fokkema and Roel Snieder 67 th EAGE meeting, Madrid June 13, 2005. Seismic interferometry : obtaining new seismic responses by X-correlation - PowerPoint PPT Presentation
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Seismic interferometry, time-reversal, and reciprocity Kees Wapenaar, Jacob Fokkema and Roel Snieder
67th EAGE meeting, Madrid June 13, 2005
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)
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)
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)
Time - reversal
Huygens principle:propagatorsource
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)
Rayleighs reciprocity theorem:Time-reversal:
Rayleighs reciprocity theorem:
Rayleighs reciprocity theorem:
Dipole at x
Monopole at x
High-frequencyapproximation
High-frequencyapproximation
Far-field approximation(Fraunhofer)
High-frequencyapproximation
Far-field approximation(Fraunhofer)
Rayleighs reciprocity theorem:
Rayleighs reciprocity theorem:Free surface
Free surface
Free surfaceHigh-frequencyapproximation
Free surfaceHigh-frequencyapproximationFar-field approximation(Fraunhofer)
Free surfaceHigh-frequencyapproximationFar-field approximation(Fraunhofer)
Free surface
Free surfaceUncorrelated noise sources
Conclusions Time-reversal approach (Derode et al, 2003) leads to high-frequency far-field approximation of interferometric relations Reciprocity approach (Wapenaar, Draganov et al, 2002, 2004) leads to exact interferometric relations 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 Extension to elastodynamic situation (next speaker)
Free surface
Free surface