A coupled fluid flow and geomechanics model on basis of the orthotropic anisotropic and equivalent continuous media treatment is proposed for enhanced coalbed methane recovery by gas injection, with consideration of spatial discontinuous distribution for multiple pore system and anisotropic mechanical property of coal seam, as well as multi-component multi-process transportation. Further analysis of the anisotropic mechanical properties and its impact on porosity and permeability as well as injection and production capacity are conducted. Anisotropic mechanical properties of coal seam make dynamic alteration of horizontal stress and strain show obvious directional differences, which means bigger alteration at the direction with larger mechanical strength or young's modulus, and the same case for fracture width, permeability and its alteration. In addition, it also creates the heterogeneity of the spatial distribution in porosity, permeability and gas adsorption concentration, which results in difference on predication results of coalbed methane production and CO2 injection between orthotropic anisotropic and transversely isotropic reservoir. The research can provide accurate prediction of pore/permeability and injection/production capacity during CBM development.