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Retrieving the elastodynamic Green's function of an arbitrary inhomogeneous medium by cross correlation
1Department of Geotechnology, Delft University of Technology, P.O. Box 5028, 2600 GA Delft, The Netherlands. C.P.A.Wapenaar@CiTG.TUDelft.NL
Physical Review Letters
|February 9, 2005
Summary
Scientists can retrieve the elastodynamic Green's function of any medium using cross-correlation of surface recordings. This method works for both random and deterministic media, without assuming wave field diffusivity.
Area of Science:
- Geophysics
- Seismology
- Wave Propagation
Background:
- The elastodynamic Green's function is crucial for understanding wave propagation in Earth materials.
- Existing methods for Green's function retrieval often require specific conditions, such as diffuse wave fields or random media.
Purpose of the Study:
- To develop a novel method for retrieving the elastodynamic Green's function.
- To demonstrate the applicability of this method to any inhomogeneous medium, regardless of its deterministic or random nature.
Main Methods:
- Utilizing a correlation-type reciprocity theorem.
- Analyzing the cross-correlation of two wave field recordings at different receiver locations on the free surface.
Main Results:
- The elastodynamic Green's function can be successfully retrieved from surface recordings.
- The method is valid for both random and deterministic inhomogeneous media.
- The derivation does not require assumptions about wave field diffusivity, offering broader applicability.
Conclusions:
- A robust method for Green's function retrieval has been established.
- This technique enhances the analysis of wave phenomena in complex geological structures.
- The findings advance the understanding of seismic wave interactions in heterogeneous Earth models.