Based on porous media and Terzaghi effective stress principle, the authors build the model of coal constitutive framework in the coal bed methane (CBM) production and interpret the stress deformation of coal matrix. The authors setup the dynamic model of the porosity and permeability so as to get the changes of the physical properties of coal seams during CBM production. The seeping equation of coal fluid is obtained based on hydromechanics continuity equation. Finally, the authors present the mathematical model of single phase and multiphase fluid-solid coupling seepage in the CBM production by means of auxiliary equation and formed conditions.