Cross-correlation Coefficients for the Study of Repeating Earthquakes: An Investigation of Two Empirical Assumptions/Conventions in Seismological Interpretation Practice
For the identification and analysis of ‘repeating earthquakes,’ there are two empirical concepts. The first is the assumption that the cross-correlation coefficient of the filtered seismograms of closely spaced ‘repeaters’ depends exponentially on the inter-event separation distance. The second is t...
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Published in | Pure and applied geophysics Vol. 171; no. 3-5; pp. 425 - 437 |
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Abstract | For the identification and analysis of ‘repeating earthquakes,’ there are two empirical concepts. The first is the assumption that the cross-correlation coefficient of the filtered seismograms of closely spaced ‘repeaters’ depends exponentially on the inter-event separation distance. The second is the convention that in processing regional seismograms, a 0.5–5.0-Hz band pass filter is used. In this article, using a simple layered structure model, we investigated the cross-correlation coefficient of the filtered synthetic seismograms of two closely located events, that is, a ‘doublet.’ We investigated the relation between the cross-correlation coefficient and the inter-event separation distance. Simulation shows that in the 0.5–5.0-Hz frequency band, even if for simple synthetic seismograms without considering lateral heterogeneity or scattering, the exponential dependence is only a first order approximation concept. To check the frequency dependence of the cross-correlation coefficient, we analyzed a group of seismograms of a ‘multiplet’ in Xiuyan, Liaoning, northeast China, recorded by the Regional Seismographic Network of Liaoning Province. The cross-correlation coefficients were observed to be relatively stable against frequency for the 0.5–5.0-Hz frequency band. |
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AbstractList | For the identification and analysis of 'repeating earthquakes,' there are two empirical concepts. The first is the assumption that the cross-correlation coefficient of the filtered seismograms of closely spaced 'repeaters' depends exponentially on the inter-event separation distance. The second is the convention that in processing regional seismograms, a 0.5-5.0-Hz band pass filter is used. In this article, using a simple layered structure model, we investigated the cross-correlation coefficient of the filtered synthetic seismograms of two closely located events, that is, a 'doublet.' We investigated the relation between the cross-correlation coefficient and the inter-event separation distance. Simulation shows that in the 0.5-5.0-Hz frequency band, even if for simple synthetic seismograms without considering lateral heterogeneity or scattering, the exponential dependence is only a first order approximation concept. To check the frequency dependence of the cross-correlation coefficient, we analyzed a group of seismograms of a 'multiplet' in Xiuyan, Liaoning, northeast China, recorded by the Regional Seismographic Network of Liaoning Province. The cross-correlation coefficients were observed to be relatively stable against frequency for the 0.5-5.0-Hz frequency band. For the identification and analysis of 'repeating earthquakes,' there are two empirical concepts. The first is the assumption that the cross-correlation coefficient of the filtered seismograms of closely spaced 'repeaters' depends exponentially on the inter-event separation distance. The second is the convention that in processing regional seismograms, a 0.5-5.0-Hz band pass filter is used. In this article, using a simple layered structure model, we investigated the cross-correlation coefficient of the filtered synthetic seismograms of two closely located events, that is, a 'doublet.' We investigated the relation between the cross-correlation coefficient and the inter-event separation distance. Simulation shows that in the 0.5-5.0-Hz frequency band, even if for simple synthetic seismograms without considering lateral heterogeneity or scattering, the exponential dependence is only a first order approximation concept. To check the frequency dependence of the cross-correlation coefficient, we analyzed a group of seismograms of a 'multiplet' in Xiuyan, Liaoning, northeast China, recorded by the Regional Seismographic Network of Liaoning Province. The cross-correlation coefficients were observed to be relatively stable against frequency for the 0.5-5.0-Hz frequency band.[PUBLICATION ABSTRACT] |
Author | Wu, Zhongliang Li, Yutong Jiang, Changsheng Han, Libo |
Author_xml | – sequence: 1 givenname: Libo surname: Han fullname: Han, Libo organization: Institute of Geophysics, China Earthquake Administration – sequence: 2 givenname: Zhongliang surname: Wu fullname: Wu, Zhongliang email: wuzl@cea-igp.ac.cn organization: Institute of Geophysics, China Earthquake Administration, Laboratory of Computational Geodynamics, Graduate University of the Chinese Academy of Sciences – sequence: 3 givenname: Yutong surname: Li fullname: Li, Yutong organization: Earthquake Administration of Liaoning Province – sequence: 4 givenname: Changsheng surname: Jiang fullname: Jiang, Changsheng organization: Institute of Geophysics, China Earthquake Administration |
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Cites_doi | 10.1029/2002JB001920 10.1029/2007GL031622 10.1007/s00024-005-0019-5 10.1002/cjg2.248 10.1007/s00024-012-0508-2 10.1029/2006JB004416 10.1785/0120100042 10.1785/BSSA0800020430 10.1785/BSSA0890041143 10.1007/978-90-481-8702-7_163 10.5194/nhess-11-1969-2011 10.1785/0120080018 10.1785/BSSA0860051634 10.1111/j.1365-246X.2009.04446.x 10.1029/2010JB007895 10.1046/j.1365-246X.2002.01610.x 10.1029/GL007i010p00821 10.1126/science.285.5428.718 10.1785/BSSA0810062335 10.1785/0120060263 10.1029/2007GL031594 10.1126/science.1093422 10.1785/BSSA0880030790 |
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SubjectTerms | Bandpass filters Conventions Correlation analysis Correlation coefficient Earth and Environmental Science Earth Sciences Earthquakes Empirical analysis Frequency bands Geophysics/Geodesy Heterogeneity Mathematical models Seismic activity Seismic phenomena Seismograms Seismology Separation |
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Title | Cross-correlation Coefficients for the Study of Repeating Earthquakes: An Investigation of Two Empirical Assumptions/Conventions in Seismological Interpretation Practice |
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