Abstract：Based on the equivalent continuum model，the function of the permeability tensor with respect to the volumetric strain in the media is combined with the classic Biot consolidation equations to establish mathematic modes simulating the nonlinear coupling process of the pore pressure and the deformation of the rock. The mechanical parameters in the model are treated as random variables and it is then resolved with Taylor extension stochastic finite element method. The distribution characteristics of the pore pressure，the effective stress and the displacement are researched by treating the mechanical parameters of the rock as random variables. The sensitivities of the pore pressure，the effective stress and the displacement to the random mechanical parameters are also analyzed. A numerical example proves the validity of the suggested method.
