Abstract: On the mechanism of comprehensive effect hypothesis of coal and gas outburst,through comprehensive theoretical analysis of influencing factors of the coal gas diffusion initial speed,the dimensions of the various influencing factors are analyzed by using dimensional theories and methods.The mathematical model of coal gas diffusion initial speed is established,and the comparative analysis and research are done by using the mathematical model.Finally,acquring and collecting materials of related influencing factors in Zhaogezhuang coal mine,comparing the coal gas diffusion initial speed obtained from mathematical model and laboratory testing,it is got the conclusion that there is little numerical difference.