Hypocenter interval statistics between successive earthquakes in the two-dimensional Burridge–Knopoff model

Tomohiro Hasumi

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 4, 477-482

Abstract: We study statistical properties of spatial distances between successive earthquakes, the so-called hypocenter intervals, produced by a two-dimensional (2D) Burridge–Knopoff model involving stick-slip behavior. It is found that cumulative distributions of hypocenter intervals can be described by the q-exponential distributions with q<1, which is also observed in nature. The statistics depend on a friction and stiffness parameters characterizing the model and a threshold of magnitude. The conjecture which states that qt+qr∼2, where qt and qr are an entropy index of time intervals and spatial intervals, respectively, can be reproduced semi-quantitatively. It is concluded that we provide a new perspective on the Burridge–Knopoff model which addresses that the model can be recognized as a realistic one in view of the reproduction of the spatio-temporal interval statistics of earthquakes on the basis of nonextensive statistical mechanics.

Keywords: Hypocenter statistics; Earthquakes; Burridge–Knopoff model; q-exponential distribution (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:4:p:477-482

DOI: 10.1016/j.physa.2008.10.017

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