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Title Stochastic synthesis of earthquake catalogs
Creator/Author Kagan, Y.Y. ; Knopoff, L.
Publication Date1981 Apr 10
OSTI IdentifierOSTI ID: 6441239
Other Number(s)Journal ID: CODEN: JGREA
Resource TypeJournal Article
Resource RelationJournal Name: J. Geophys. Res.; (United States); Journal Volume: 86:B4
Research OrgDepartment of Physics and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90024
Subject58 GEOSCIENCES; SEISMICITY; STATISTICAL MODELS; AFTERSHOCKS; EARTHQUAKE MAGNITUDE; EARTHQUAKES; FAULT TREE ANALYSIS; FORESHOCKS; STOCHASTIC PROCESSES; MATHEMATICAL MODELS; SEISMIC EVENTS; SYSTEM FAILURE ANALYSIS; SYSTEMS ANALYSIS
Description/AbstractA model of earthquake occurrence is proposed that is based on results of statistical studies of earthquake catalogs. We assume that each earthquake generates additional shocks with a probability that depends on time as t/sup() -1+q/. This assumption together with one regarding the independence of branching events on adjacent branches of the event 'tree,' is sufficient to permit the generation of complete catalogs of earthquakes that have the same time-magnitude statistical properties as real earthquake catalogs. If q is about 0.5, the process generates sequences that have statistical properties similar to those for shallow earthquakes: many well-known relations are reproduced including the magnitude-frequency law, Omori's law of the rate of aftershock and foreshock occurrence, the duration of a recorded seismic event versus its magnitude, the self-similarity or lack of scale of rate of earthquake occurrence in different magnitude ranges, etc. A value of q closer to 0.8 or 0.9 seems to simulate the statistical properties of the occurrence of intermediate and deep shocks. A formula for seismic risk prediction is proposed, and the implications of the model for risk evaluation are outlined. The possibilities of the determination of long-term risk from real or synthetic catalogs that have the property of self-similarity are dim.
Country of PublicationUnited States
LanguageEnglish
FormatMedium: X; Size: Pages: 2853-2862
System Entry Date2009 Dec 17

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