|Table of Contents|

Error analysis of equivalent thickness calculation method of tunnel thermal insulation layer in cold area(PDF)

《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

Issue:
2023年04期
Page:
135-143
Research Field:
隧道工程
Publishing date:

Info

Title:
Error analysis of equivalent thickness calculation method of tunnel thermal insulation layer in cold area
Author(s):
ZHAO Pengyu1; 2;  HUANG Jiefang3;  CHEN Jianxun1; 2;  LUO Yanbin1; 2;  DONG Tijian1;  XUN Wenjie1;  LIU Liu1
(1. School of Highway, Chang'an University, Xi'an 710064, Shaanxi, China; 2. Scientific Observation and Research Base of Transport Industry of Meteorology and Structural Mechanical State of Tunnels in Cold Areas, Chang'an University, Xi'an 710064, Shaanxi,China; 3. CCCC First Highway Engineering Group Co.,Ltd., Beijing 100024, China)
Keywords:
tunnel engineering;  cold area;  thermal insulation layer;  equivalent thickness method;  calculation error
PACS:
U452
DOI:
10.19815/j.jace.2022.04109
Abstract:
In order to analyze the calculation error of the equivalent thickness calculation method for thermal insulation layer in tunnel in cold areas, the transient heat transfer characteristics of tunnel along the radial depth under annual cycles was considered. A calculation method for the error of the equivalent thickness calculation method of thermal insulation layer based on numerical simulation was proposed. Meanwhile, the control variable method was adopted to calculate and analyze the influence of the five factors, including of annual average air temperature, annual air temperature amplitude, initial temperature, thermal conductivity and thermal diffusion coefficient of rock mass, on the calculation error of the equivalent thickness method. The results show that after the thermal insulation layer is laid on the tunnel lining surface, the influence depth of surrounding rock temperature is decreased, and the maximum freezing depth of lining and surrounding rock occurs nearly 20 d earlier compared to when there is no thermal insulation layer. It indicates that there are differences in the internal heat transfer state of tunnel lining and surrounding rock before and after the thermal insulation layer laid. Additionally, the transient heat transfer occurs within the tunnel lining and surrounding rock, Therefore, the calculation principle and assumed condition of the equivalent thickness calculation method do not conform to the actual situation, resulting in an error in the calculation results. The calculation results of the equivalent thickness method are generally smaller. However, there are cases where the calculation results are larger when the annual temperature amplitude is low or the initial temperature of the surrounding rock is high. The calculation error is larger when the annual average air temperature and the initial temperature and thermal conductivity of the surrounding rock are lower. Conversely, the calculation error is larger, when the annual air temperature amplitude and thermal diffusivity of the surrounding rock are higher. The thermal conductivity and the initial temperature of the surrounding rock have a significant impact on the calculation error. When the thermal conductivity of the surrounding rock is 2 W?(m?K)-1 and the initial temperature of the surrounding rock is 5 ℃, the calculation errors can reach 1.6 cm and 1.4 cm, respectively. The calculation errors resulting from variations in other parameters are all less than 1 cm.

References:

[1] 赖远明,张明义,李双洋,等.寒冷地区工程理论与应用[M].北京:科学出版社,2009.
LAI Yuanming,ZHANG Mingyi,LI Shuangyang,et al.Theory and application of cold regions engineering[M].Beijing:Science Press,2009.
[2]ZHAO X,YANG X H,ZHANG H W,et al.An analytical solution for frost heave force by the multifactor of coupled heat and moisture transfer in cold-region tunnels[J].Cold Regions Science and Technology,2020,175:103077.
[3]张玉伟,谢永利,李又云,等.基于温度场时空分布特征的寒区隧道冻胀模型[J].岩土力学,2018,39(5):1625-1632.
ZHANG Yuwei,XIE Yongli,LI Youyun,et al.A frost heave model based on space-time distribution of temperature field in cold region tunnels[J].Rock and Soil Mechanics,2018,39(5):1625-1632.
[4]吴紫汪,赖远明,藏恩穆,等.寒冷地区隧道工程[M].北京:海洋出版社,2003.
WU Ziwang,LAI Yuanming,ZANG Enmu,et al.Tunnel engineering in cold area[M].Beijing:Ocean Press,2003.
[5]XIA C C,LYU Z T,LI Q,et al.Transversely isotropic frost heave of saturated rock under unidirectional freezing condition and induced frost heaving force in cold region tunnels[J].Cold Regions Science and Technology,2018,152:48-58.
[6]ZHAO X,ZHANG H W,LAI H P,et al.Temperature field characteristics and influencing factors on frost depth of a highway tunnel in a cold region[J].Cold Regions Science and Technology,2020,179:103141.
[7]ZHOU Y F,ZHANG X F,DENG J H.A mathematical optimization model of insulation layer's parameters in seasonally frozen tunnel engineering[J].Cold Regions Science and Technology,2014,101:73-80.
[8]ZHANG G Z,XIA C C,YANG Y,et al.Experimental study on the thermal performance of tunnel lining ground heat exchangers[J].Energy and Buildings,2014,77:149-157.
[9]LAI J X,WANG X L,QIU J L,et al.A state-of-the-art review of sustainable energy based freeze proof technology for cold-region tunnels in China[J].Renewable and Sustainable Energy Reviews,2018,82:3554-3569.
[10]LAI Y M,WU Z W,ZHANG S J,et al.Study of methods to control frost action in cold regions tunnels[J].Journal of Cold Regions Engineering,2003,17(4):144-152.
[11]陈建勋.公路隧道冻害防治技术[J].长安大学学报(自然科学版),2006,26(4):68-70.
CHEN Jianxun.Technique of preventing frost damage in highway tunnel[J].Journal of Chang'an University(Natural Science Edition),2006,26(4):68-70.
[12]陈建勋,张建勋,朱计华.硬质聚氨酯在寒冷地区隧道冻害防治中的应用[J].长安大学学报(自然科学版),2006,26(5):66-68.
CHEN Jianxun,ZHANG Jianxun,ZHU Jihua.Application of hard urethane foam for prevention of frost damage in tunnels at cold area[J].Journal of Chang'an University(Natural Science Edition),2006,26(5):66-68.
[13]LUO Y B,CHEN J X.Research status and progress of tunnel frost damage[J].Journal of Traffic and Transportation Engineering(English Edition),2019,6(3):297-309.
[14]万建国.我国寒区山岭交通隧道防冻技术综述与研究展望[J].隧道建设(中英文),2021,41(7):1115-1131.
WAN Jianguo.Review on and present situation and prospect of antifreezing technologies for tunnels in cold areas in China[J].Tunnel Construction,2021,41(7):1115-1131.
[15]LI S Y,NIU F J,LAI Y M,et al.Optimal design of thermal insulation layer of a tunnel in permafrost regions based on coupled heat-water simulation[J].Applied Thermal Engineering,2017,110:1264-1273.
[16]LU T S,ZHANG G Z,LIU S Y,et al.Numerical investigation of the temperature field and thermal insulation design of cold-region tunnels considering airflow effect[J].Applied Thermal Engineering,2021,191:116923.
[17]冯 强,刘炜炜,蒋斌松.玉希莫勒盖隧道温度场及保温层厚度的研究[J].现代隧道技术,2016,53(5):78-84.
FENG Qiang,LIU Weiwei,JIANG Binsong.Study on the temperature field and insulation layer thickness of the Yuximolegai tunnel[J].Modern Tunnelling Technology,2016,53(5):78-84.
[18]MA Q G,LUO X X,LAI Y M,et al.Numerical investigation on thermal insulation layer of a tunnel in seasonally frozen regions[J].Applied Thermal Engineering,2018,138:280-291.
[19]王志杰,周飞聪,周 平,等.高寒高海拔隧道保温层敷设方式及设计参数优化[J].中国公路学报,2020,33(8):182-194.
WANG Zhijie,ZHOU Feicong,ZHOU Ping,et al.Laying method and design parameter optimization of the thermal insulation layer in alpine and altitude tunnels[J].China Journal of Highway and Transport,2020,33(8):182-194.
[20]陈建勋.寒冷地区隧道防冻隔温层设计计算方法及应用[J].土木工程学报,2004,37(11):85-88.
CHEN Jianxun.Design method and application for anti-freezing thermal-protective layers in cold-area tunnels[J].China Civil Engineering Journal,2004,37(11):85-88.
[21]陈建勋,罗彦斌.寒冷地区隧道防冻隔温层厚度计算方法[J].交通运输工程学报,2007,7(2):76-79.
CHEN Jianxun,LUO Yanbin.Calculation method of antifreezing layer thickness in cold region tunnel[J].Journal of Traffic and Transportation Engineering,2007,7(2):76-79.
[22]四川省公路规划勘察设计研究院有限公司.川西高原公路隧道设计与施工技术指南[M].北京:科学出版社,2019.
Sichuan Highway Planning, Survey, Design and Research Institute Ltd.Design and construction guide for highway tunnels in Western Sichuan Plateau[M].Beijing:Science Press,2019.
[23]赵 勇.隧道设计理论与方法[M].北京:人民交通出版社,2019.
ZHAO Yong.Tunnel design theory and method[M].Beijing:China Communications Press,2019.
[24]季节性冻土地区公路设计与施工技术规范:JTG/T D31-06—2017)[S].北京:人民交通出版社,2017.
Technical specifications for design and construction of highway in seasonal frozen soil region:JTG/T D31-06—2017[S].Beijing:China Communications Press,2017.
[25]公路隧道加固技术规范:JTG/T 5440—2018[S].北京:人民交通出版社,2018.
Technical specifications for strengthening of highway tunnel:JTG/T 5440—2018[S].Beijing:China Communications Press,2018.
[26]夏才初,张国柱,肖素光.考虑衬砌和隔热层的寒区隧道温度场解析解[J].岩石力学与工程学报,2010,29(9):1767-1773.
XIA Caichu,ZHANG Guozhu,XIAO Suguang.Analytical solution to temperature fields of tunnel in cold region considering lining and insulation layer[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(9):1767-1773.
[27]陈建勋,罗彦斌.寒冷地区隧道温度场的变化规律[J].交通运输工程学报,2008,8(2):44-48.
CHEN Jianxun,LUO Yanbin.Changing rules of temperature field for tunnel in cold area[J].Journal of Traffic and Transportation Engineering,2008,8(2):44-48.
[28]ZHAO P Y,CHEN J X,LUO Y B,et al.Investigation of the insulation effect of thermal insulation layer in the seasonally frozen region tunnel:a case study in the Zuomutai tunnel,China[J].Advances in Civil Engineering,2019,2019: 4978359.
[29]杨世铭,陶文铨.传热学[M].4版.北京:高等教育出版社,2006.
YANG Shiming,TAO Wenquan.Heat transfer[M].4th ed.Beijing:Higher Education Press,2006.
[30]TAKUMI K,TAKASHI M,KOUICHI F.An estimation of inner temperatures at cold region tunnel for heat insulator design[J].Journal of Structural Engineering,2008,54A:32-38.

Memo

Memo:
-
Last Update: 2023-07-01