Open AccessInterferometric seismoelectric Green's function representations
Author(s) -
De Ridder Sjoerd A. L.,
Slob Evert,
Wapenaar Kees
Publication year - 2009
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2009.04201.x
Subject(s) - seismic interferometry , reciprocity (cultural anthropology) , spurious relationship , interferometry , bounded function , function (biology) , convolution (computer science) , green's function , boundary (topology) , domain (mathematical analysis) , amplitude , reflection (computer programming) , mathematical analysis , mathematics , optics , computer science , physics , psychology , social psychology , statistics , evolutionary biology , machine learning , artificial neural network , biology , programming language
SUMMARY Interferometric Green's function representations can be used to retrieve a Green's function between two receiver stations, effectively turning one receiver into a source. Through reciprocity theorems of the convolution and correlation types, we derive interferometric Green's function representations for coupled electromagnetic and seismic wave propagation in 1‐D. These representations express a symmetrized Green's function in terms of correlations of sources distributed throughout the domain of reciprocity and on its boundary. The main challenge for practical implementation is the necessity of sources throughout a domain. Numerical examples show how this constraint can be relaxed for different configurations. In a configuration of two layers bounded by a vacuum, seismic noise sources behind the interface can be used to recover seismoelectric reflection responses that suffer from small amplitude losses, but are not corrupted by spurious events.