| 多年冻土区隧道传热模型及温度场分布规律 |
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| 引用本文： | 韩跃杰,富志鹏,李博融.多年冻土区隧道传热模型及温度场分布规律[J].中国公路学报,2019,32(7):136-145. |
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| 作者姓名： | 韩跃杰 富志鹏 李博融 |
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| 作者单位： | 1. 长安大学 特殊地区公路工程教育部重点实验室, 陕西 西安 710064;2. 中交第一公路勘察设计研究院有限公司 高寒高海拔地区道路工程安全与健康国家重点实验室, 陕西 西安 710065 |
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| 基金项目： | 西藏自治区重点研发与转化计划项目（XZ201801-GB-07）；国家重点研发计划项目（2017YFF0108706） |
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| 摘 要： | 针对高温多年冻土区隧道传热模型及温度场分布规律开展深入的理论分析、数值模拟和现场监测研究。首先，基于热传导理论，建立隧道衬砌和围岩径向传热模型，利用叠加原理和拉普拉斯变换法求得寒区隧道衬砌和围岩的温度场理论解；其次，建立洞内空气的传热微分方程，根据能量守恒原理，建立隧道纵向洞内空气与洞壁的气-固耦合传热模型，结合径向温度场理论解，提出多年冻土区隧道衬砌、围岩及洞内空气的三维温度场计算方法，该计算方法可考虑围岩、衬砌、保温层等多层传热介质及隧道沿洞轴线的不同埋深；最后，根据依托工程现场实测数据，反演围岩的热物性参数，并运用推导的隧道纵向传热模型和横向传热模型，分析姜路岭隧道不同冻土区内衬砌和围岩中的温度场分布规律。研究结果表明：在隧道径向，多年冻土和非冻土围岩温度都会随洞内气温的变化而产生波动，距离围岩表面越近，温度振幅越大，且热量在围岩径向传递过程中有一定的滞后性；在隧道纵向，在一年中最冷时刻，隧道衬砌及围岩温度呈“两端低，中间高”，此时姜路岭隧道围岩、二衬表面最高温度分别为-2.72℃，-7.80℃；在一年中最热时刻，衬砌温度呈“两端高，中间低”，此时姜路岭隧道二衬表面最低温度为1.92℃，但由于受围岩初始地温的影响，围岩表面的温度呈倒V形，最低温度为-1.22℃。
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| 关 键 词： | 隧道工程 高温多年冻土区 传热模型 温度场 热传导 隧道衬砌 |
| 收稿时间： | 2018-09-07 |
Heat Transfer Model and Temperature Field Distribution Law of Tunnel in Permafrost Region |
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| HAN Yue-jie,FU Zhi-peng,LI Bo-rong.Heat Transfer Model and Temperature Field Distribution Law of Tunnel in Permafrost Region[J].China Journal of Highway and Transport,2019,32(7):136-145. |
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| Authors: | HAN Yue-jie FU Zhi-peng LI Bo-rong |
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| Affiliation: | 1. Key Laboratory for Special Area Highway Engineering of Ministry of Education, Chang'an University, Xi'an 710064, Shaanxi, China;2. State Key Laboratory of Road Engineering Safety and Health in Cold and High-altitude Regions, CCCC First Highway Consultants Co., Ltd., Xi'an 710065, Shaanxi, China |
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| Abstract: | Theoretical analysis, numerical simulation, and field monitoring of a tunnel heat transfer model and the temperature field distribution in a high-temperature permafrost region were carried out. Firstly, based on the theory of heat conduction, the radial heat transfer model of tunnel lining and surrounding rock was established, and the theoretical solution of the temperature field of the tunnel lining and surrounding rock in the cold region was obtained by superposition principle and Laplace transform method. Secondly, the differential equations of heat transfer of air in the tunnel were established. According to the principle of energy conservation, the gas-solid coupled heat transfer model of the air and tunnel wall in the longitudinal tunnel was established. Combined with the theoretical solution of the radial temperature field, a three-dimensional temperature field calculation method for the tunnel lining, surrounding rock, and air in the permafrost region was proposed. The calculation method can take multilayer heat transfer media such as surrounding rock, lining, and insulation layer as well as different burial depths along the tunnel axis into account. Finally, according to the measured data in the field, the thermal physical parameters of surrounding rock were analyzed inversely. Based on the derived tunnel longitudinal and transverse heat transfer models, the temperature field distributions of lining and surrounding rock in different frozen soil areas of the Jiangluling Tunnel were analyzed. Analysis results show that in the radial direction of tunnel, the temperatures of surrounding rocks of permafrost and non-permafrost fluctuate with temperature changes in the tunnel. The closer the tunnel is to the surface of surrounding rocks, the larger the temperature fluctuates, and there is a certain lag in the radial heat transfer process of surrounding rock. Longitudinally, on the coldest day of the year, the temperatures of the tunnel lining and surrounding rock were "low at both ends and high in the middle". At this time, the maximum surface temperature of the surrounding rock of Jiangluling Tunnel is -2.72℃, and the maximum surface temperature of the second lining is -7.80℃. On the hottest day of the year, the lining temperature was "high at both ends and low in the middle", and the minimum surface temperature of the second lining of Jiangluling Tunnel is 1.92℃. The surface temperature of the surrounding rock is an inverted V-shape owing to the influence of the initial ground temperature of the surrounding rock, and the minimum surface temperature of the surrounding rock of the Jiangluling Tunnel is -1.22℃. |
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| Keywords: | tunnel engineering high temperature permafrost areas heat transfer model temperature field heat conduction tunnel lining |
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