An explicit relationship between time-domain noise correlation and spatial autocorrelation (SPAC) results
- Creators
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Tsai, Victor C.
- Moschetti, Morgan P.
Abstract
The success of recent ambient noise tomographic studies is now understood to arise due to cross-correlation properties documented in the acoustics community since the 1950s. However, despite the fact that Aki's 1957 spatial autocorrelation (SPAC) work yields identical analytical results to certain noise correlation results, the precise relationship between SPAC and time-domain cross-correlation remains not entirely transparent. Here, we present an explicit comparison of the two approaches and clarify that SPAC theory is indeed equivalent to the cross-correlation theory used for recent noise tomography studies. This equivalence allows theoretical work from each field to be applied to the other, and we illustrate a few examples of this.
Additional Information
No claim to original US government works. Journal compilation © 2010 RAS. Accepted 2010 April 18. Received 2010 April 7; in original form 2009 December 10. The authors would like to thank S. Hartzell, M. W. Asten, W. J. Stephenson, F. C. Lin, R. Snieder and D. E. McNamara for helpful discussions, and two anonymous reviewers for helpful comments. Seismograms were provided by IRIS. This research was supported by the Mendenhall Postdoctoral Fellowship program of the United States Geological SurveyAttached Files
Published - TsaiMoschetti_GJI2010.pdf
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Additional details
- Eprint ID
- 46221
- Resolver ID
- CaltechAUTHORS:20140612-071051007
- USGS
- Created
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2014-06-12Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Seismological Laboratory