Analysis of the Gas Explosion and Gas and Coal Outstanding with Catastrophe

摘要

This paper using catastrophe theory to building a mathematics model of gas explosion, then analyze the security parameters and conditions of the gas explosion, and calculate out the catastrophe model of gas explosion, and provide the theoretical basis for theory analysis and practice. Through it is investigating intrinsic dynamic characteristics of the coal system of occurring coal and gas outstanding. Establish a cusp catastrophe model of coal and gas outstanding, it is making catastrophe description of the system for inoculation and the process of outstanding, and obtained the outstanding mechanism and condition of coal and gas outstanding. So provide a new theoretical basis for the explosion of coal mine gas, coal and gas outstanding disaster prediction and prevention.