Rate- and State-Dependent Friction Law and Statistical Properties of Earthquakes

Abstract

In order to clarify how the statistical properties of earthquakes depend on the constitutive law characterizing the stick-slip dynamics, we make an extensive numerical simulation of the one-dimensional spring-block model with the rate- and state-dependent friction law. Both the magnitude distribution and the recurrence-time distribution are studied with varying the constitutive parameters characterizing the model. While a continuous spectrum of seismic events from smaller to larger magnitudes is obtained, earthquakes described by this model turn out to possess pronounced ``characteristic'' features.

Minor revisions are made in the text and in the figures. Accepted for publication in Europhys. Letters

References in corpus (1)

• Simulation of the Burridge-Knopoff Model of Earthquakes with Variable Range Stress Transfer

Cited by in corpus (4)

• Simulation study of earthquakes based on the two-dimensional Burridge-Knopoff model with the long-range interaction
• Interoccurrence time statistics in the two-dimensional Burridge-Knopoff earthquake model
• Periodicity and criticality in the Olami-Feder-Christensen model of earthquakes
• Spatiotemporal correlations of earthquakes in the continuum limit of the one-dimensional Burridge-Knopoff model