The theory model and analytic answer of gas diffusion

In order to investigate the gas diffusion process in the coal seam, this paper simplifies the complex course into the capillary model and gets the motion differential equation when the gas diffusion obeys Fick’s law. Meanwhile, with the knowledge of differential equation and mathematic-physical equation, with the help of MATLAB as well, this paper obtains the analytic answer of the speed and flow rate of gas diffusion for the first time, which can supply more accurate quantized parameters to solve the gas problem in coal mine.