A percolation model of random porous media, with its nonzero bonds obeying the uniform distribution, is researched in this article.

Verification of the drawing theory in the random medium;

Study of prediction method in random medium theory for combined body deformation of open pit slope and hillside;

Propagation and localization of plane waves in two-dimensional homogeneous and isotropic random medium;

Using stochastic medium model in surface movements of self-weight stress mining have been made great successful .

In this paper the theory of stochastic medium widely used in mining industry is introduced into the calculation of surface and soil mass movements and deformation due to foundation pit excavation.

According to the characters of the rock mass displacement and deformation for the deep ore deposit excavation,the two-dimensional problem of surface subsidenc due to underground mining is analysed by stochastic medium method and the software ANSYS respectively.

An analytical solution for spherical coordinate of random media thermal elastic model;

2-D random media and wave equation forward modeling.;

Considering the difference in micro-structure of rock,using random non-homogeneous thermal elastic mechanics model and FEM,and further considering thermal expansion coefficient is random media only,under plane stain model,numerical experiments are made on the rock thermal cracking.