A nonextensive modification of the Gutenberg–Richter law: q-stretched exponential form

We study the cumulative distribution for the magnitude of earthquakes in the context of nonextensive statistical mechanics. A new modification of the Gutenberg–Richter (GR) law is introduced. We use seismic data sets which were recorded in two different regions, Iran and California, to compute the c...

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Bibliographic Details
Published in:Physica A 2010-02, Vol.389 (3), p.509-514
Main Authors: Darooneh, Amir H., Mehri, Ali
Format: Article
Language:English
Subjects:
Earthquakes
Empirical analysis
Gutenberg–Richter law
Law
Nonextensive statistical mechanics
Seismic engineering
Seismic phenomena
Statistical mechanics
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Summary:We study the cumulative distribution for the magnitude of earthquakes in the context of nonextensive statistical mechanics. A new modification of the Gutenberg–Richter (GR) law is introduced. We use seismic data sets which were recorded in two different regions, Iran and California, to compute the cumulative distribution of the magnitudes. The empirical data are fitted extremely well by our suggested expression for the modified GR law over the whole range of magnitudes.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2009.10.006