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This study is focused on thermal energy due to slip-weakening friction, but also on the temperature distribution. In this paper, we considered a one-body spring-slider model in the presence of slip-weakening friction and viscosity. We examine the effect of slip-weakening friction law and viscosity on thermal energy. We established the expression of thermal energy produced by slip-weakening friction in the case that we considered a simplified linearly slip-weakening friction law. Numerical simulation with Euler method are made for determining the thermal energy in the case of three others slip-weakening friction law, i.e., the thermal-pressurization (TP) friction law, the softening-hardening (SH) friction law and a simple slip-weakening (SW) friction law. The effect of the viscosity strongly modifies the results of the evolution of the temperature and the thermal energy. We establish that the TP friction law is better to evaluate the thermal energy in seismic fault. We solve the 1-D heat conduction equation by numerical simulation. We showed that, contrary to others frictions forces the slip-weakening friction law better illustrate the accumulation of thermal energy produced in seismic fault and temperature distribution.

INFLUENCE OF VISCOSITY ON THE THERMAL ENERGY PRODUCED IN SEISMIC FAULT: ONE-DIMENSIONAL MODELING