巷道隧道围岩非稳态导热模化试验方法-中国矿业大学.PDFVIP

第 31 卷 第 3 期 采矿与安全工程学报 Vol.31 No.3 2014 年 05 月 Journal of Mining Safety Engineering May 2014 文章编号：1673-3363-(2014)03-0441-061 巷道/ 隧道围岩非稳态导热模化试验方法 张源，万志军，周长冰，程敬义 ( 中国矿业大学矿业工程学院，深部煤炭资源开采教育部重点实验室， 煤炭资源与安全开采国家重点实验室，江苏 徐州 221116) 摘要 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。 关键词 高温矿井；矿井热害；非稳态导热；模化试验；相似理论 中图分类号 TD 727 文献标志码 A Modeling experimental method of unsteady heat conduction in surrounding rock of roadways or tunnels ZHANG Yuan ，WAN Zhijun ，ZHOU Changbing ，CHENG Jingyi (School of Mines，Key Laboratory of Deep Coal Resource Mining，Ministry of Education of China ，State Key Laboratory of Coal Resources and Safe Mining，China University of Mining Technology，Xuzhou ，Jiangsu 221116 ，China) Abstract Based on the analysis of the thermal conduction characteristics of the surrounding rock of roadways or tunnels, the temperature field of the surrounding rock of roadways or tunnels is simplified as the unsteady heat conduction problems of a one-and a half dimensional infinite hollow circular sheet of insulation on both sides; the mathematical model for the temperature field is established under cylin- drical coordinate, and the solution conditions related are explored; using equation analysis method and dimensional method, the paper deduces that the conduction similarity criterions of the surrounding rock of roadways or tunnels are the Fo, the Bi, the R in the conduction process, and the Nu , the Re, the Pr in the period of he