Simulation Study of the One-Dimensional Burridge-Knopoff Model of Earthquakes

Abstract

Spatio-temporal correlations of the one-dimensional spring-block (Burridge-Knopoff) model of earthquakes are extensively studied by means of numerical computer simulations. Particular attention is paid to clarifying how the statistical properties of earthquakes depend on the frictional and elastic properties of earthquake faults. It is found that, as the velocity-weakening tendency of the friction force gets weaker, the system tends to be more critical, while, as the velocity-weakening tendency gets stronger, the system tends to be more off-critical with enhanced features of a characteristic earthquake. The model exhibits several eminent precursory phenomena prior to the large event in its spatio-temporal correlations. Preceding the mainshock, the frequency of smaller events is gradually enhanced, whereas, just before the mainshock, it is suppressed in a close vicinity of the epicenter of the upcoming event (the Mogi doughnut). The time scale of the onset of the doughnut-like quiescence depends on the extent of the frictional instability. Under certain conditions, preceding the mainshock, the apparent B-value of the magnitude distribution increases significantly. The existence of such distinct precursory phenomena may open a way to the prediction of the time and the position of the upcoming large event.

New simulation data added for larger sizes and for wider parameter values. New figures and references added. To appear in J. Geophys. Res

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• Periodicity and criticality in the Olami-Feder-Christensen model of earthquakes
• Simulation study of the two-dimensional Burridge-Knopoff model of earthquakes
• Spatiotemporal correlations of earthquakes in the continuum limit of the one-dimensional Burridge-Knopoff model
• Simulation study of the inhomogeneous Olami-Feder-Christensen model of earthquakes
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• Statistical properties of the one-dimensional Burridge-Knopoff model of earthquakes obeying the rate and state dependent friction law
• Nature of the high-speed rupture of the two-dimensional Burridge-Knopoff model of earthquakes
• Spatial heterogeneity in earthquake fault-like systems
• Stochastic methods for slip prediction in a sheared granular system