Complexity of seismicity due to highly rate dependent friction

A. Cochard, R. Madariaga
D'epartement de Sismologie, IPGP, 4 place Jussieu, 75252 Paris, France

Abstract:

We study a simple antiplane fault of finite length embedded in a homogeneous isotropic elastic solid in order to understand the origin of seismic source heterogeneity in the presence of non-linear rate dependent friction. All the mechanical properties of the medium and friction are assumed to be homogeneous. Starting from a heterogeneous initial stress distribution, we apply a slowly increasing uniform stress load far from the fault and we simulate the seismicity for more than 20000 events in some cases. The style of seismicity produced by this model is determined by a control parameter which measures the degree of rate dependence of friction. For classical friction models with rate independent friction, no complexity appears and seismicity is perfectly periodic. For weakly rate-dependent friction large ruptures are still periodic, but small seismicity becomes increasingly non-stationary. When friction is highly rate-dependent, seismicity becomes non-periodic and ruptures of all sizes occur inside the fault. Highly rate dependent friction destabilizes the healing process producing premature healing of slip and partial stress drop. Premature healing causes rupture to take the form of narrow propagating slip episodes, the so-called Heaton pulses. Partial stress drop produces large variations in the state of stress which in turn produce earthquakes of different sizes. We make the conjecture that all models in which static stress drop is only a fraction of the dynamic stress drop produce stress heterogeneity.

AGU Index Terms: 7209 Earthquake dynamics and mechanics; Mineralogy, Petrology, and Rock Chemistry; 3210 Modeling; 3220 Nonlinear dynamics; 3230 Numerical solutions
Keywords/Free Terms: Seismic complexity, numerical simulations, friction,

JGR-Solid Earth 96JB02095
Vol. 101 , No. B11 , p. 25,321


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