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The relationship between noise correlation and the Green's function in the presence of degeneracy and the absence of equipartition

Geophysical Journal International

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DOI: 10.1111/j.1365-246X.2010.04693.x

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Abstract

Recent derivations have shown that when noise in a physical system has its energy equipartitioned into the modes of the system, there is a convenient relationship between the cross correlation of time-series recorded at two points and the Green's function of the system. Here, we show that even when energy is not fully equipartitioned and modes are allowed to be degenerate, a similar (though less general) property holds for equations with wave equation structure. This property can be used to understand why certain seismic noise correlation measurements are successful despite known degeneracy and lack of equipartition on the Earth. No claim to original US government works Journal compilation ?? 2010 RAS.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
The relationship between noise correlation and the Green's function in the presence of degeneracy and the absence of equipartition
Series title:
Geophysical Journal International
DOI:
10.1111/j.1365-246X.2010.04693.x
Volume
182
Issue:
3
Year Published:
2010
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Geophysical Journal International
First page:
1509
Last page:
1514
Number of Pages:
6