The injection of carbon dioxide (CO2) in deep unmineable coalbeds（CO2-ECBM） is a very attractive option for geologic CO2storage. The CO2 is stored and at the same time the recovery of coalbed methane is enhanced. The revenue of methane (CH4) production can offset the expenditures of the storage operation. The processes involving in the CO2-ECBM include multi-components gas adsorption，diffusion，and gas-water two phase flow in coalbed. On the basis of above processes，a model considering adsorption induced coal matrix swelling is developed, which can be used to describe multi-components gas adsorption/desorption-diffusion-flow in coalbed. The finite difference method is used to solve this model，and the comparison of the results with the existed model suggests the model is valid. Then the model is applied to evaluated the influence of permeability of coal seam，different gas adsorption induced swelling，CO2/CH4 adsorption capacity ratio，pore model considering matrix swelling，and gas composition of injection gas on CO2 sequestration and methane production, and these results are very important for site selection and technological parameters optimum of CO2-ECBM project.