Computer Simulation of Spontaneous Combustion in Goaf

A mathematical model to simulate spontaneous combustion of coal in goaf was developed. Under the condition of two-dimensional flaw of air through a bed of uniform mixture of coal, gob, stone etc., the model simulates the temperature rise in the air-and-particle system associated with Arrhenius particle surface reaction. The model is developed as a set of coupled non-linear partial differential equations, which include (1)mass conservation equation for oxygen, (2)energy conservation equation for gas, (3)energy conservation for solid, and (4)velocity equation for gas, that are solved numerically. An elaborate parametric analysis is made of effect of leakage air flux and position of source and sink, parameters relating to the coal accumulating character and the kinetic properties of coal on the tendency to spontaneously combust. In addition, the dynamic process of temperature rise within goaf under several conditions is displayed with picture drawn by computer.