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Unified Green's function retrieval by cross correlation.

Kees Wapenaar1, Evert Slob, Roel Snieder

  • 1Department of Geotechnology, Delft University of Technology, 2600 GA Delft, The Netherlands. c.p.a.wapenaar@tudelft.nl

Physical Review Letters
|February 7, 2007
PubMed
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Researchers developed a unified theory for retrieving Green's functions from diffuse wave fields. This method works even in complex scenarios like attenuating media and moving fluids, enabling advanced remote sensing applications.

Area of Science:

  • Wave physics
  • Acoustics
  • Geophysics

Background:

  • Cross-correlation of diffuse wave fields retrieves Green's functions between receivers.
  • Previous theories were limited to specific conditions like time-reversal invariance and source-receiver reciprocity.

Purpose of the Study:

  • To present a unified theory for Green's function retrieval.
  • To extend Green's function retrieval to more complex media and situations.

Main Methods:

  • Developed a unified theoretical framework for Green's function retrieval.
  • Extended the theory to include attenuating media, moving fluids, and electrokinetic phenomena.

Main Results:

  • The unified theory successfully retrieves Green's functions across diverse physical scenarios.

Related Experiment Videos

  • Demonstrated applicability to poroelastic and piezoelectric media.
  • Enabled "remote sensing without a source".

    • Conclusions:

    • The unified theory provides a robust and versatile tool for Green's function retrieval.
    • Opens new avenues for advanced remote sensing and geophysical exploration.