From the related physical principles, the governing equations of metha
ne gas migration in coal seams have been derived and outlined in this
paper. The effect of the medium deformation, two-phase flow and mass/g
as transfer on the methane gas transport process in the porous medium
has been considered in the analysis. Owing to the complicated nature a
nd nonlinear behaviour of the equations, the finite element method was
suggested to solve the methane gas migration problem in the porous me
dium. Further, the finite element formulations related to this problem
have been derived and given in great detail.