Based on the review of coupling theory of porous media, A nonlinear mathematics mechanical model and the governing differential equation of the coupled problem of thermal-gas fluid-mechanical are derived from the theory of continuum mechanics and mixture theory. A constitutive equation of the porous media is obtained in the coupling processes. According to the coupling model, a decoupled method is presented. The finite element equation is set up under several conditions and an object oriented finite element program is compiled. An application example with the gas through a non-isothermal coal is presented. Results indicate that non-isothermal deformation could play a major role in the transport of gas in the coal and that the program was practicability and the coupling model was necessarily.
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