基于移动坐标的采空区自然发火模型研究  

Mathematical model for spontaneous combustion in goaf in the moving coordinates

作　　者：朱建芳[1] 蔡卫[1] 秦跃平[2] 

机构地区：[1]华北科技学院安全工程学院,北京101601 [2]中国矿业大学(北京)资源与安全工程学院,北京100083

出　　处：《煤炭学报》2009年第8期1095-1099,共5页Journal of China Coal Society

基　　金：国家自然科学基金资助项目(50674091);华北科技学院博士基金资助项目(A06001)

摘　　要：通过对采空区内遗煤自然发火过程的分析,利用质量守恒定律和达西定律建立了采空区气体流动的流场模型,利用质量守恒和菲克定律建立了采空区内的氧浓度场模型,根据能量守恒建立了采空区内浮煤的温度场模型,以上3个模型联立即为采空区自然发火模型.根据采空区动态移动的特点,通过引入移动坐标系建立了移动坐标下的采空区自然发火模型,简化了自然发火模型求解.利用有限差分法对模型进行了数值求解,编制了解算软件.以山东古城煤矿2108综放工作面为例进行了采空区自然发火模拟,得出了工作面实际生产条件下采空区内温度分布,并与实际观测结果进行了对比分析,模拟结果与实际观测结果基本一致,从而验证了该自燃模型的正确性.Based on the analysis on the spontaneous combustion of coal in goal, the mathematical model of flow field in gob was established by mass conservation and Darcy＇ s law, and the model equation of oxygen concentration field was set up by mass conservation and Fick Law, and the model of temperature field of floating coal in goal was derived from the law of energy conservation. Then the model of spontaneous combustion in goal was obtained by combining these three model equations above. By utilizing the goal＇ s feature of dynamic movement, a model of spontaneous combustion in gob was built in moving coordinates, thereby simplifying the solution of the model. Moreover, the finite difference method was employed to solve the numerical value of the model, and the corresponding software for solution was programmed. Finally, as a case of 2108 fully mechanized top-coal caving working face in Gucheng Coal Mine, its temperature distribution was obtained by simulating spontaneous combustion in mined-out area on the basis of practical production conditions. Comparison between the results of simulation and actual observation indicate the validity of the established model.

关 键 词：采空区 自然发火 流场 温度场 

分 类 号：TD752[矿业工程—矿井通风与安全] O6-3[理学—化学]