矿井底板破碎带温度场模型推导及模拟分析

为了研究矿井底板破碎带温度场对地下水的响应机制，运用热传导理论，结合数学物理方法，建立了垂向水流作用下岩体温度场模型和地下水、空气等多热源作用下岩体过余温度分布模型，并求出了相应模型的温度、温度梯度及过余温度解析解。结果表明：沿着地下水径流方向，起始段的岩体温度梯度值一般较小，而终止段的温度梯度值则一般较大；当温度梯度与地下水流动方向相反时，岩体温度梯度变化幅度较小；回采工作面接近含导水构造时，距离导水构造越近，同一时刻岩体过余温度增大越迅速，体现在温度曲线的曲率相应增大。在一定范围内，地下水对矿井岩体温度梯度及过余温度影响显著。

Simulation Analysis and Deduction of Temperature Field Model in the Mine Floor Fracture Zone

In order to study the mechanism of temperature response to groundwater in the fracture zone of mine floor, the authors established temperature field models of rock mass under the action of vertically flowing groundwater and air and the excess temperature distribution models by using heat transfer theory and combining with the mathematics and physics method. The effects of a variety of heat source were given, and the analytical solution of temperature and temperature gradient and excess temperature of the corresponding models were calculated. Results show that along the groundwater flowing direction, rock temperature gradient value of the initial segment is generally small, and the temperature gradient value of the termination section is generally larger.When the temperature gradient is the opposite with the groundwater flowing direction, amplitude variation of rock temperature gradient is relatively small. When the working faces is close to the structure containing groundwater, with the distance more close to the structure of conducting groundwater, the excess temperature of rock mass increases more rapidly at the same time, which reflects that curvature of temperature curve increases. Within a certain range, groundwater can affect the temperature gradient and the excess temperature of mine rock.