Burridge-Knopoff model and self-similarity

P. G. Akishin; M. V. Altaisky; A. D. Budnik; V. V. Ivanov; I. Antoniou

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arXiv · chao-dyn/9709024

Burridge-Knopoff model and self-similarity

P. G. Akishin·M. V. Altaisky·A. D. Budnik·V. V. Ivanov·I. Antoniou

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Abstract

The seismic processes are well known to be self-similar in both spatial and temporal behavior. At the same time, the Burridge-Knopoff (BK) model of earthquake fault dynamics, one of the basic models of theoretical seismicity, does not posses self-similarity. In this article an extension of BK model, which directly accounts for the self-similarity of earth crust elastic properties by introducing nonlinear terms for inter-block springs of BK model, is presented. The phase space analysis of the model have shown it to behave like a system of coupled randomly kicked oscillators. The nonlinear stiffness terms cause the synchronization of collective motion and produce stronger seismic events.

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P. G. Akishin, M. V. Altaisky, A. D. Budnik, V. V. Ivanov, I. Antoniou. 1997-09-19. Burridge-Knopoff model and self-similarity. https://arxiv.org/abs/chao-dyn/9709024

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