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A statistical thermodynamic description for the evolution of the ensemble of defects in a geologi cal medium is suggested for modeling the formation of the potential earthquake source. The evolution of the medium with defects is described in terms of two order parameters, the damage parameter and the structural scaling parameter, which are the unknowns in the evolution equations. Based on the obtained constitutive relationships, a mathematical model is constructed and the final stage of the earthquake source formation and propagation of the slow waves is numerically modeled. Our results can be interpreted as the model visualiza tions that render, in terms of a seismic process, the physical hypothesis implying the common formation mechanism of the defects (discontinuities) over a wide range of spatial scales.

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