Improving coal methane penetration is an important subject in the current research for CBM（Coal-bed mathane）exploration.This article is based on a mathematical model of coal seam gas seepage law

using COMSOL Multiphysics software to do the numerical simulation.The variation of non-isothermal CBM desorption and seepage under the condition of fluid-solid-thermal coupling.The simulation results show that the seepage pressure drops more obvious and the pressure difference is greater and the seepage speed of gas from the high pressure area to a low pressure zone is faster than general exploitation as the temperature increases under the condition of heat injection.The gas radially flows to the shaft in the coal-bed and the pressure gradient near the shaft increases and the gas flows faster.Coal-bed methane is not applied by heat and the coalbed methane desorption rate is unchanged under the condition of no heat injection.Rising injecting heat could promote the desorption of coal methane

improve the permeability

achieve the purpose of improving coal methane production.The research results could provide corresponding theoretical basis for engineering practices of exploiting coal methane by heat injection.