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Green’s function representations for seismic interferometry

Explore seismic interferometry techniques from Kees Wapenaar's 2005 SEG meeting presentation, covering X-correlation, reciprocity, time-reversal, and Rayleigh’s reciprocity theorem applications in seismic imaging.

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Green’s function representations for seismic interferometry

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  1. Green’s function representations for seismic interferometry Kees Wapenaar 75th SEG meeting, Houston November 8, 2005

  2. 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)

  3. Rayleigh’s reciprocity theorem:

  4. State A Rayleigh’s reciprocity theorem:

  5. State A State B Rayleigh’s reciprocity theorem:

  6. Time-reversal: Rayleigh’s reciprocity theorem:

  7. Time-reversal: Rayleigh’s reciprocity theorem:

  8. State A Rayleigh’s reciprocity theorem:

  9. State B Rayleigh’s reciprocity theorem:

  10. Monopole at x

  11. Dipole at x

  12. High-frequency approximation

  13. High-frequency approximation Far-field approximation (Fraunhofer)

  14. High-frequency approximation Far-field approximation (Fraunhofer)

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  41. Rayleigh’s reciprocity theorem:

  42. Free surface Rayleigh’s reciprocity theorem:

  43. Free surface

  44. High-frequency approximation Free surface

  45. High-frequency approximation Free surface Far-field approximation (Fraunhofer)

  46. High-frequency approximation Free surface Far-field approximation (Fraunhofer)

  47. Free surface

  48. Free surface Uncorrelated noise sources

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