Simulation of earthquakes with cellular automata

The relation between cellular automata (CA) models of earthquakes and the Burridge–Knopoff (BK) model is studied. It is shown that the CA proposed by P. Bak and C. Tang,although they have rather realistic power spectra, do not correspond to the BK model. We present a modification of the CA which est...

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Bibliographic Details
Main Authors: P. G. Akishin, M. V. Altaisky, I. Antoniou, A. D. Budnik, V. V. Ivanov
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:Discrete Dynamics in Nature and Society
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Online Access:http://dx.doi.org/10.1155/S1026022698000247
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Summary:The relation between cellular automata (CA) models of earthquakes and the Burridge–Knopoff (BK) model is studied. It is shown that the CA proposed by P. Bak and C. Tang,although they have rather realistic power spectra, do not correspond to the BK model. We present a modification of the CA which establishes the correspondence with the BK model.An analytical method of studying the evolution of the BK-like CA is proposed. By this method a functional quadratic in stress release, which can be regarded as an analog of the event energy, is constructed. The distribution of seismic events with respect to this “energy” shows rather realistic behavior, even in two dimensions. Special attention is paid to two-dimensional automata; the physical restrictions on compression and shear stiffnesses are imposed.
ISSN:1026-0226
1607-887X