摘要

Most earthquakes are controlled by the frictional property of the sliding surface, which could be well described by rate- and state-dependent friction laws. Constitutive parameters of these friction laws, a and b, are related to the coefficient of kinetic friction. They affect significantly the spatio-temporal evolution of co-seismic dislocation and shear stress. In this study, we present a 3D boundary integral method to simulate the spontaneous rupture propagation under the rate- and state-dependent friction laws on a planar fault in an elastic full space. We also discuss the effect of a and b on slip rate, shear stress and rupture speed, respectively. The simulation results showed that rupture behaviors strongly depend on the parameters of a and b. The instability of faults is enhanced by the increase of b-a. Such increasing instability could lead to a rupture easily. The slip rate and the shear stress depend not only on b-a, but also on the values of a and b themselves. Both the peak slip rate and the shear strength increase with a decreasing a or an increasing b. This study may strengthen the understanding of the spontaneous rupture propagation of faults.