Simulation of earthquakes with cellular automata. Issue 4 (1998)

• Record Type: Journal Article
• Authors: Akishin, P. G.; Altaisky, M. V.; Antoniou, I.; Budnik, A. D.; Ivanov, V. V.
• Is Part Of: Discrete dynamics in nature and society. Volume 2:Issue 4(1998)
• Page Start: 267
• Page End: 279
• Publication Date: 1998
• Subjects: Earthquakes -- Cellular automata; System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/S1026022698000247
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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.