Freezing Deformation Law and Mechanical Response of Frost-Shrinkage Surrounding Rock in Cold Region Tunnels

  • Chen Wei ,
  • Cao Shanpeng ,
  • Xia Caichu ,
  • Guo Kuo ,
  • Guo Bihuai
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  • 1. Jilin Provincial Transportation Planning and Design Institute, Changchun 130021, P.R. China;
    2. School of Civil Engineering, Tongji University, Shanghai 200092, P.R. China;
    3. Institute of Rock Mechanics, Ningbo University, Ningbo, Zhejiang 315211, P.R. China;
    4. Ningbo Key Laboratory of Energy Geostructure, Ningbo, Zhejiang, 315211, P.R. China

Received date: 2024-11-19

  Online published: 2025-10-17

Abstract

To investigate the freezing pressure in tunnels subjected to the frost deformation of frost-shrinkage surrounding rock and lining in cold regions, laboratory tests were conducted to determine the frost deformation behavior of water-saturated rocks and their frost-shrinkage linear strain at various temperatures. The elastic solution for frost-shrinkage pressure of the surrounding rock was derived analytically. Case analysis and numerical comparison validation were performed, and the control variable method was used to analyze the effects of different parameters. The research shows that: Water-saturated tuff and sandstone exhibit overall frost-shrinkage deformation under different freezing temperature conditions. Notably, water-saturated sandstone demonstrates some frost-heave recovery during the freezing and shrinking process, with porosity being the key factor influencing this recovery. The results of theoretical calculations and numerical simulations for surrounding rock pressure in cold region tunnels in various types of rock and under low-temperature concrete frost deformation are consistent, demonstrating the reliability of the theoretical solution. The frost-shrinkage surrounding rock pressure in cold region tunnels increases exponentially with the maximum freezing depth of the surrounding rock and increases linearly with the increase of the frost-shrinkage linear strain of the surrounding rock and the ratio of the elastic modulus of the frozen rock to the unfrozen rock. The proposed frost-shrinkage surrounding rock pressure solution in cold regions of tunnels can provide certain theoretical guidance for the frost resistance design of similar tunnels in cold regions.

Cite this article

Chen Wei , Cao Shanpeng , Xia Caichu , Guo Kuo , Guo Bihuai . Freezing Deformation Law and Mechanical Response of Frost-Shrinkage Surrounding Rock in Cold Region Tunnels[J]. Chinese Journal of Underground Space and Engineering, 2025 , 21(5) : 1525 -1533 . DOI: 10.20174/j.JUSE.2025.05.06

References

[1] 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(6): 297-309.
[2] Xia C C, Lv 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(8): 48-58.
[3] Andren A, Dahlstrom L O, Nordlund E. Degradation of the reinforcing effect of shotcrete-freeze-thaw tests on shotcrete-rock panels [J]. Electronic Journal of Geotechnical Engineering, 2020, 25(1):20210203.
[4] Lv Z T, Xia C C, Li Q, et al. Empirical frost heave model for saturated rock under uniform and unidirectional freezing conditions [J]. Rock Mechanics and Rock Engineering, 2018, 52(4): 1-9.
[5] Huang S B, Cai Y T, Liu Y Z, et al. Experimental and theoretical study on frost deformation and damage of red sandstones with different water contents [J]. Rock Mechanics and Rock Engineering, 2021,54(8): 4163-4181.
[6] Murton J B, Ozouf J C, Peterson R. Heave, settlement and fracture of chalk during physical modelling experiments with temperature cycling above and below 0 ℃[J]. Geomorphology, 2016, 270: 71-87.
[7] 张祉道, 王联. 高海拔及严寒地区隧道防冻设计探讨 [J]. 现代隧道技术, 2004, 41(3): 1-6. (Zhang Zhidao, Wang Lian. Discussion on the design of tunnels in high elevation and bitter cold region [J]. Modern Tunnelling Technology, 2004, 41(3): 1-6. (in Chinese))
[8] Lai Y M, Wu H, Wu Z W, et al. Analytical viscoelastic solution for frost force in cold-region tunnels [J]. Cold Regions Science and Technology, 2000, 31(3): 227-234.
[9] 黄继辉, 夏才初, 韩常领, 等. 考虑围岩不均匀冻胀的寒区隧道冻胀力解析解[J]. 岩石力学与工程学报, 2015(增2): 3766-3674. (Huang Jihui, Xia Caichu, Han Changling, et al. Analytical solution of frost heave force acting oncold-region tunnel liner considering anisotropy frostheave of surrounding rock [J]. Chinese Journal of Rock Mechanics and Engineering, 2015(Supp.2): 3766-3674. (in Chinese))
[10] Lv Z T, Xia C C, Wang Y S, et al. Analytical elasto-plastic solution of frost heaving force in cold region tunnels considering transversely isotropic frost heave of surrounding rock [J]. Cold Regions Science and Technology, 2019, 163: 87-97.
[11] 张常光, 高本贤, 单冶鹏, 等. 横观各向同性冻胀寒区隧道应力与位移的塑性统一解[J]. 岩土工程学报, 2020 (10): 1825-1831. (Zhang Changguang, Gao Benxian, Shan Yepeng, et al. Unified plastic solution for stress and displacement of tunnels in cold regions considering transversely isotropic frost heave [J]. Chinese Journal of Geotechnical Engineering, 2020(10): 1825-1831. (in Chinese))
[12] 张常光, 高本贤, 李天斌, 等. 考虑位移释放的横观各向同性冻胀寒区隧道冻胀力弹塑性解答 [J]. 岩土力学, 2021 (11): 1-10. (Zhang Changguang, Gao Benxian, Li Tianbin, et al. An elastic-plastic solution for frost heaving force of cold region tunnels considering transversely isotropic frost heave and displacement release [J]. Rock and Soil Mechanics, 2021(11): 1-10. (in Chinese))
[13] Feng Q, Fu S G, Wang C X, et al. Analytical elasto-plastic solution for frost force of cold-region tunnels considering anisotropic frost heave in the surrounding rock [J]. KSCE Journal of Civil Engineering, 2019, 23(5): 3831-3842.
[14] Zhang J B, Zhang X H, Fu H L, et al. An analytical solution for the frost heaving force considering the freeze-thaw damage and transversely isotropic characteristics of the surrounding rock in cold-region tunnels[J]. Advances in Civil Engineering, 2020, 2020:6654778.
[15] Huang S B, Xin Z K, Ye Y H, et al. Study on the freeze-thaw deformation behavior of the brittle porous materials in the elastoplastic regime based on Mohr-Coulomb yield criterion [J]. Construction and Building Materials, 2020, 268(2): 121799.
[16] 夏才初, 李强, 吕志涛, 等. 各向均匀与单向冻结条件下饱和岩石冻胀变形特性对比试验研究[J].岩石力学与工程学报,2018,37(2):274-281. (Xia Caichu, Li Qiang, Lv Zhitao, et al. Comparative experimental study on frost deformation characteristics of saturated rock under uniform freezing and uni-directional freezing conditions[J]. Chinese Journal of Rock Mechanics and Engineering, 2018,37(2):274-281. (in Chinese))
[17] Huang S B, Cai Y T, Liu Y Z, et al. Experimental and theoretical study on frost deformation and damage of red sandstones with different water contents [J]. Rock Mechanics and Rock Engineering, 2021, 54(8): 4163-4181.
[18] 康永水, 刘泉声, 赵军, 等. 岩石冻胀变形特征及寒区隧道冻胀变形模拟[J].岩石力学与工程学报,2012,31(12):2518-2526. (Kang Yongshui, Liu Quansheng, Zhao Jun, et al. Research on frost deformation characteristics of rock and simulation of tunnel frost deformatlon in Cold region [J]. Chinese Journal of Rock Mechanics and Engineering, 2012,31(12):2518-2526. (in Chinese))
[19] Yamabe T, Neaupane K M. Determination of some thermo-mechanical properties of Sirahama sandstone under subzero temperature condition [J]. International Journal of Rock Mechanics and Mining Sciences, 2001, 38(7): 1029-1034.
[20] 张全胜, 高广运, 杨更社,等. 寒区隧道围岩变形机理分析初探 [J]. 岩土力学, 2007, 28(2): 307-310. (Zhang Quansheng, Gao Guangyun, Yang Gengshe, et al. A study of freezing deformation of tunnel surrounding rock in cold region [J]. Rock and Soil Mechanics, 2007, 28(2): 307-310. (in Chinese))
[21] 徐芝纶. 弹性力学[M]. 高等教育出版社, 2006. (Xu Zhilun. Elasticity [M]. Higher Education Press, 2006. (in Chinese))
[22] Wang Z, Yao Y, Wang L. Deformation and deterioration analysis of concrete exposed to freeze-thaw cycles and chloride salt attack [J]. Journal of the Chinese Silicate Society, 2012, 40(8) : 1133-1138.
[23] 马德群. 冻融循环作用下混凝土内部变形监测及模拟[D]. 哈尔滨:哈尔滨工业大学, 2016: 24-33. (Ma Dequn. Monitoring and simulation of internal deformation of concrete under freeze-thaw cycles[D]. Harbin: Harbin Institute of Technology, 2016: 24-33. (in Chinese))
[24] 中华人民共和国住房和城乡建设部. 低温环境混凝土应用技术规范 (GB51081-2015)[S]. 北京: 中国计划出版社, 2015. (Ministry of Housing and Urban-Rural Development of the People's Republic of China. Technical code for application of concreteunder cryogenic circumstance [S]. Beijing: China Planning Press, 2015. (in Chinese))
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