Abstract：Under the depth of about one kilometer in the deep mining，the pressure of the coal-bed is considerably high and the permeability of the coal-bed is comparatively low，in which the porous media is regarded to be highly compacted. Considering the percolation in this pre-pressing porous media，the slippage effects are remarkable. The model of coal-bed methane percolation equation under high pressure condition，which considers the slippage effects of coal-bed methane，is proposed；and finite element method(FEM) is employed to calculate the numerical value of mathematic model. The pressure gradient calculated by FEM，which is influenced by slippage effects under high pressure condition，is compared with that of mathematic model. The foundation of mathematics model for coal-bed methane slippage is established to study the nonlinear percolation problems of coal-bed methane. The simulated results can provide significant references to the evaluation of the output of the coal-bed methane with low permeability under high pressure condition.
