中文摘要：

建立自燃煤矸石山中任意点的瞬态温度场控制方程；在假定矸石山不存在内部对流换热的条件下，对矸石山模型的初始、边界条件进行了确定和求解；在耗氧量原理基础上通过实验近似得出了其内部热源强度；并推导出了自燃煤矸石山瞬态温度场的有限元数学模型。在瞬态温度场的有限元模型和相关初始、边界条件基础上，应用ANSYS软件中的8节点6面体等参元对此30m（底半径）×30m（高）自燃煤矸石山模型进行单元划分，得到527个单元、2029个节点，并进行了相关模拟计算。对计算出的温度作了相应的误差分析，得出该有限元数学模型的精度比较可靠；并在模拟计算结果的基础上进行了相关的温度场分析。

英文摘要：

The transient temperature governing equation at any point of spontaneous combusting gangue heap is founded. The initial conditions and boundary conditions are determined and calculated on the assumption that the inner convection and heat exchange doesn＇t exist. The inner heat releasing intensity is obtained based on the theory of oxygen consuming and the finite element model of temperature field of spontaneous combusting gangue heap is derived. Based on the finite element model of temperature field, and related initial conditions and boundary conditions, the spontaneous combusting 30 （ radius of bottom） × 30 （height） m gangue heap model is divided into 527 units and 2 029 nodes by using the 8-node hexahedron in ANSYS software; Then, the transient temperature is calculated through simulation. After an error analysis on the temperatures, it shows that this finite element mathematical model is reliable and accurate. Finally, related temperature field is also analyzed on the basis of the calculating results.