Tsai, Victor C. (2010) The relationship between noise correlation and the Green's function in the presence of degeneracy and the absence of equipartition. Geophysical Journal International, 182 (3). pp. 1509-1514. ISSN 0956-540X. doi:10.1111/j.1365-246X.2010.04693.x. https://resolver.caltech.edu/CaltechAUTHORS:20140611-150433557
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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.
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| Additional Information: | Journal compilation © 2010 RAS. No claim to original US government works. Accepted 2010 June 5. Received 2010 June 4; in original form 2010 February 23. The author thanks Y. Fan, L. Ramirez, S. Hartzell, T. Tada, D. E. McNamara and two anonymous reviewers for helpful comments. This research was supported by the Mendenhall Postdoctoral Fellowship program of the United States Geological Survey. | |||||||||
| Group: | Seismological Laboratory | |||||||||
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| Subject Keywords: | Surface waves and free oscillations; Seismic tomography; Theoretical seismology; Statistical seismology; Wave propagation | |||||||||
| Issue or Number: | 3 | |||||||||
| DOI: | 10.1111/j.1365-246X.2010.04693.x | |||||||||
| Record Number: | CaltechAUTHORS:20140611-150433557 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140611-150433557 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 46219 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 11 Jun 2014 22:10 | |||||||||
| Last Modified: | 10 Nov 2021 17:22 |
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