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Titel |
Distribution of incremental static stress caused by earthquakes |
VerfasserIn |
Y. Y. Kagan |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1023-5809
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Digitales Dokument |
URL |
Erschienen |
In: Nonlinear Processes in Geophysics ; 1, no. 2/3 ; Nr. 1, no. 2/3, S.172-181 |
Datensatznummer |
250000010
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Publikation (Nr.) |
copernicus.org/npg-1-172-1994.pdf |
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Zusammenfassung |
Theoretical calculations, simulations and measurements of
rotation of earthquake focal mechanisms suggest that the stress in earthquake focal zones
follows the Cauchy distribution which is one of the stable probability distributions (with
the value of the exponent α equal to 1). We review the properties of the stable
distributions and show that the Cauchy distribution is expected to approximate the stress
caused by earthquakes occurring over geologically long intervals of a fault zone
development. However, the stress caused by recent earthquakes recorded in instrumental
catalogues, should follow symmetric stable distributions with the value of α significantly
less than one. This is explained by a fractal distribution of earthquake hypocentres: the
dimension of a hypocentre set, δ, is close to zero for short-term earthquake catalogues
and asymptotically approaches 2¼ for long-time intervals. We use the Harvard catalogue of
seismic moment tensor solutions to investigate the distribution of incremental static
stress caused by earthquakes. The stress measured in the focal zone of each event is
approximated by stable distributions. In agreement with theoretical considerations, the
exponent value of the distribution approaches zero as the time span of an earthquake
catalogue (ΔT) decreases. For large stress values α increases. We surmise that it is
caused by the δ increase for small inter-earthquake distances due to location errors. |
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