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在分析巷道/隧道围岩导热特征的基础上,把巷道/隧道围岩温度场简化为一维半无限大空心两面绝热圆薄片的非稳态导热问题,建立了柱坐标系下巷道/隧道围岩温度场的数学模型,并对其定解条件进行了探讨;采用方程分析法和量纲分析法,推导出巷道/隧道围岩导热的相似准则为傅里叶数Fo、毕渥数Bi和R,以及围岩与风流对流换热的努谢尔特数Nu、雷诺数Re和普朗特数Pr;根据相似准则,确定了巷道/隧道围岩导热原型和模型之间的相似关系,并以掘进巷道为例,证实了模化试验方法的可行性。
On the basis of analyzing the thermal characteristics of roadway / tunnel surrounding rock, the temperature field of tunnel / tunnel is reduced to the unsteady heat conduction problem of one-dimensional hollow semi-infinite hollow double-sided adiabatic circular sheet, and the tunnel / tunnel circumference The mathematical models of temperature field of rock and rock are discussed, and the conditions of their solution are discussed. Using the method of equation analysis and dimensional analysis, the similarity criterion of thermal conductivity of tunnel / tunnel surrounding rock is deduced as Fourier number Fo, R and the Nucourt Nu number, the Reynolds number Re and the Prandtl number Pr of surrounding rock and wind convection heat transfer. According to the similarity criterion, the similarity between the tunneling / tunnel surrounding rock thermal prototype and the model is determined Taking tunneling for example, the feasibility of the modeled test method is verified.