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Volume 54 Issue 5
May  2022
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Jin Bo, Hu Ming, Fang Qihong. Research on stress field of surrounding rock and lining structure of deep-buried subsea tunnel considering seepage effect. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(5): 1322-1330 doi: 10.6052/0459-1879-21-670
Citation: Jin Bo, Hu Ming, Fang Qihong. Research on stress field of surrounding rock and lining structure of deep-buried subsea tunnel considering seepage effect. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(5): 1322-1330 doi: 10.6052/0459-1879-21-670


doi: 10.6052/0459-1879-21-670
  • Received Date: 2021-12-16
  • Accepted Date: 2022-03-18
  • Available Online: 2022-03-19
  • Publish Date: 2022-05-01
  • Deep-buried subsea tunnels are often under high water pressure condition and therefore groundwater seepage exerts a great impact on the surrounding rock and lining structure safety. In this paper, a mechanical model of deep-buried subsea tunnel with lining is proposed to study the influence mechanism of groundwater seepage on the surrounding rock and lining structure stability during the service stage of subsea tunnel. Firstly, a conformal mapping method is adopted to map the semi-infinite domain which includes seawater and surrounding rock elastic zone into an annular domain, and the seepage equation in polar coordinates between interfaces is established according to the seepage boundary conditions. Thus, the analytical solution of the seepage field of the subsea tunnel is obtained. Secondly, the seepage field is applied to the stress field in the form of volume force, the stress balance equation is established according to the stress boundary conditions, and based on the Drucker-Prager (D-P) criterion which takes account of the effect of the intermediate principal stress, an elastoplastic analytical solution is derived for the surrounding rock and lining structure under the influence of seepage effect. Finally, taking Shenzhen Mawan Sea-Crossing Passage as an engineering example, the analytical solution is compared with the finite element numerical solution, which verifies the accuracy of the theoretical solution in this paper, the influence law of seepage effect on the stress field of tunnel surrounding rock and lining structure is studied, and the factors influencing the radius of surrounding rock plastic zone are analyzed. The results show that: the seepage effect has a significant influence on the hoop stress in surrounding rock and lining structure, and the radial stress increases nonlinearly with the increase of $\rho $. As the seawater goes deeper, the water pressure on tunnel continues to increase, and the surrounding rock plastic zone increases significantly. An increase in the internal water head can effectively limit the development of the surrounding rock plastic zone, with the initial limiting effect being obvious while the subsequent effect being gradually weakened.


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  • [1]
    张雨. 海底隧道水力流态特性研究及工程应用. [博士论文]. 北京: 北京交通大学, 2021

    Zhang Yu. Study on the hydraulic flow regime characteristics in subsea tunnels and its engineering application. [PhD Thesis]. Beijing: Beijing Jiaotong University, 2021 (in Chinese))
    He J. Research on deepening design and construction of cross-sea tunnel based on the principle of prefabricated building//IOP Conference Series: Earth and Environmental Science. OP Publishing, 2020, 598(1): 012016
    刘强, 潘坚文, 金峰. 临海隧道渗流场解析解研究. 北京交通大学学报, 2019, 43(4): 18-28 (Liu Qiang, Pan Jinwen, Jin Feng. Study on analytic solution for seepage field of near-sea tunnel. Journal of Beijing Jiaotong University, 2019, 43(4): 18-28 (in Chinese)
    陈小平, 辛丽敏, 孔祥岁等. 妈湾跨海通道工程隧道选线快速评价模型研究. 隧道建设, 2018, 38(10): 1630-1636 (Chen Xiaoping, Xin Limin, Kong Xiangsui, et al. Research on fast evaluation model for route selection of Mawan sea-crossing tunnel. Tunnel Construction, 2018, 38(10): 1630-1636 (in Chinese)
    陈仁东. 妈湾跨海通道前海湾隧道工法方案比选. 地下空间与工程学报, 2017, 13(5): 1319-1328 (Chen Rendong. Comparison and selection for construction method of Qianhaiwan tunnel on Mawan cross passage. Chinese Journal of Underground Space and Engineering, 2017, 13(5): 1319-1328 (in Chinese)
    袁大军, 吴俊, 沈翔等. 超高水压越江海长大盾构隧道工程安全. 中国公路学报, 2020, 33(12): 26-45 (Yuan Dajun, Wu Jun, Shen Xiang, et al. Engineering safety of cross-river or cross-sea long-distance large-diameter shield tunneling under superhigh water pressure. China Journal of Highway and Transport, 2020, 33(12): 26-45 (in Chinese)
    赵建平, 李建武, 毕林等. 富水区隧道渗流场解析解及合理支护参数. 浙江大学学报(工学版), 2021, 55(11): 2142-2150 (Zhao Jianping, Li Jianwu, Bi Lin, et al. Analytical solution of seepage field and reasonable support parameters of tunnel in water rich area. Journal of Zhejiang University (Engineering Science), 2021, 55(11): 2142-2150 (in Chinese)
    郭玉峰, 王华宁, 蒋明镜. 水下浅埋双孔平行隧道渗流场的解析解研究. 岩体工程学报, 2021, 43(6): 1088-1096 (Guo Yufeng, Wang Huaning, Jiang Mingjing. Analytical solutions of seepage field for underwater shallow-buried parallel twin tunnels. Chinese Journal of Geotechnical Engineering, 2021, 43(6): 1088-1096 (in Chinese)
    Xue Y, Zhou B, Li S, et al. Deformation rule and mechanical characteristic analysis of subsea tunnel crossing weathered trough. Tunnelling and Underground Space Technology, 2021, 114: 103989 doi: 10.1016/j.tust.2021.103989
    Lee YK, Pietruszczak S. A new numerical procedure for elasto-plastic analysis of a circular opening excavated in a strain-softening rock mass. Tunnelling and Underground Space Technology, 2008, 23(5): 588-599 doi: 10.1016/j.tust.2007.11.002
    Li PF, Fang Q, Zhang DL. Analytical solutions of stresses and displacements for deep circular tunnels with liners in saturated ground. Journal of Zhejiang University-Science A (Applied Physics & Engineering) , 2014, 15(6): 395-404
    Li XF, Du SJ, Chen B. Unified analytical solution for deep circular tunnel with consideration of seepage pressure, grouting and lining. Journal of Central South University, 2017, 24(6): 1483-1493 doi: 10.1007/s11771-017-3552-3
    邹金峰, 李帅帅, 张勇等. 考虑轴向力和渗透力时软化围岩隧道解析. 力学学报, 2014, 46(5): 747-755 (Zou Jinfeng, Li Shuaishuai, Zhang Yong, et al. Solution and analysis of circular tunnel for the strain-softening rock masses considering the axial in situ stress and seepage force. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(5): 747-755 (in Chinese)
    Ma Y, Lu A, Cai H, et al. Analytical solution for determining the plastic zones around two unequal circular tunnels. Tunnelling and Underground Space Technology, 2021, 120: 104267
    彭立, 邹金锋, 彭建国等. 基于Hoek-Brown准则下的富水透水隧洞非线性解析. 土木工程学报, 2011, 44(7): 149-156 (Peng L, Zou JF, Peng JG, et al. Nonlinear analytical solution for underwater tunnel using Hoek-Brown failure criterion. China Civil Engineering Journal, 2011, 44(7): 149-156 (in Chinese)
    Zhu C, Niu X, Liu X, et al. Comparative analysis on elastic-plastic analytical methods for tunnel surrounding rocks. Tehnički vjesnik, 2020, 27(2): 374-381
    肖建清, 冯夏庭, 张腊春等. 均匀地应力场下圆形隧道静态弹塑性解析方法. 岩石力学与工程学报, 2013, 32(S2): 3466-3477 (Xiao JQ, Feng XT, Zhang LC, et al. Static elastoplastic analytical method of circular tunnel under uniform geostress field. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(S2): 3466-3477 (in Chinese)
    Hu Y, Lei HY, Zheng G, et al. Assessing the deformation response of double-track overlapped tunnels using numerical simulation and field monitoring. Journal of Rock Mechanics and Geotechnical Engineering, 2022, 14(2): 436-447
    Mu W, Li L, Chen D, et al. Long-term deformation and control structure of rheological tunnels based on numerical simulation and on-site monitoring. Engineering Failure Analysis, 2020, 118: 104928 doi: 10.1016/j.engfailanal.2020.104928
    何超, 周顺华, 狄宏规等. 饱和土—隧道动力响应的2.5维有限元—边界元耦合模型. 力学学报, 2017, 49(1): 126-136 (He Chao, Zhou Shunhua, Di Honggui, et al. A 2.5D coupled FE-BE model for the dynamic interaction between tunnel and saturated soil. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(1): 126-136 (in Chinese)
    何川, 齐春, 封坤等. 基于D-P准则的盾构隧道围岩与衬砌结构相互作用分析. 力学学报, 2017, 49(1): 31-40 (He Chun, Qi Chun, Feng Kun, et al. Theoretical analysis of interaction between surrounding rocks and linging strcture of shield tunnel based on Drucker-Prager yield criteria. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(1): 31-40 (in Chinese) doi: 10.6052/0459-1879-16-344
    张顶立, 孙振宇, 侯艳娟. 隧道支护结构体系及其协同作用. 力学学报, 2019, 51(2): 577-593 (Zhang Dingli, Sun Zhenyu, Hou Yanjuan. Tunnel support structure system and its synergistic effect. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 577-593 (in Chinese) doi: 10.6052/0459-1879-18-322
    Ma YF, Qin H, Zhang CM, et al. An elastic-plastic solution for a circular pressure tunnel with liner based on a new model. International Journal of Earth Sciences and Engineering, 2016, 9(6): 2354-2360
    李岩松, 陈寿根. 寒区非圆形隧道冻胀力的解析解. 力学学报, 2020, 52(1): 196-207 (Li Yansong, Chen Shougen. Analytical solution of frost heaving force in non-circular cold region tunnels. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(1): 196-207 (in Chinese) doi: 10.6052/0459-1879-19-226
    Wang T, Zhou G, Wang JZ, et al. Stochastic analysis of uncertainty mechanical characteristics for surrounding rock and lining in cold region tunnels. Cold Regions Science and Technology, 2018, 145: 160-168 doi: 10.1016/j.coldregions.2017.10.016
    唐雄俊. 考虑围岩应变软化与剪胀效应的深埋隧道合理支护时机分析. 隧道建设, 2021, 41(2): 1-9 (Tang Xiongjun. The reasonable tunnel support timing for the surrounding rock mass considering strain-softening and dilatancy behaviours. Tunnel Construction, 2021, 41(2): 1-9 (in Chinese)
    Wang R, Liu XD, Bai JB, et al. An innovative elasto-plastic analysis for soft surrounding rock considering supporting opportunity based on Drucker-Prager Strength criterion. Advances in Civil Engineering, 2021, 2021(6): 1-9
    Ying HW, Zhu CW, Shen HW. Semi-analytical solution for groundwater ingress into lined tunnel. Tunnelling and Underground Space Technology, 2018, 76: 43-47 doi: 10.1016/j.tust.2018.03.009
    Chen G, Ruan B, Zhao K, et al. Nonlinear response characteristics of undersea shield tunnel subjected to strong earthquake motions. Journal of Earthquake Engineering, 2020, 24(3): 351-380 doi: 10.1080/13632469.2018.1453416
    张顶立. 隧道及地下工程的基本问题及其研究进展. 力学学报, 2017, 49(1): 3-21 (Zhang Dingli. Essential issues and their research progress in tunnel and underground engineering. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(1): 3-21 (in Chinese) doi: 10.6052/0459-1879-16-348
    Verruijt A. A complex variable solution for a deforming circular tunnel in an elastic half-plane. International Journal for Numerical and Analytical Methods in Geomechanics, 1997, 21(2): 77-89 doi: 10.1002/(SICI)1096-9853(199702)21:2<77::AID-NAG857>3.0.CO;2-M
    Park KH, Owatsiriwong A, Lee JG. Analytical solution for steady-state groundwater inflow into a drained circular tunnel in a semi-infinite aquifer: a revisit. Tunnelling and Underground Space Technology, 2008, 23(2): 206-209 doi: 10.1016/j.tust.2007.02.004
    李宗利, 任青文, 王亚红. 考虑渗流场影响深埋圆形隧洞的弹塑性解. 岩石力学与工程学报, 2004(8): 1291-1295 (Li Zongli, Ren Qingwen, Wang Yahong. Elasto-plastic analytical solution of deep-buried circle tunnel considering fluid flow field. Chinese Journal of Rock Mechanics and Engineering, 2004(8): 1291-1295 (in Chinese) doi: 10.3321/j.issn:1000-6915.2004.08.011
    李建林. 卸荷岩体力学. 北京: 中国水利水电出版社, 2003

    Li Jianlin. Unloading Rock Mass Mechanics. Beijing: China Water Power Press, 2003 (in Chinese))
    米海珍, 胡燕妮. 塑性力学. 北京: 清华大学出版社, 2014

    Mi Haizhen, Hu Yanni. Plasticity Theory. Beijing: Tsinghua University Press, 2014 (in Chinese))
    吕晓聪, 许金余. 海底圆形隧道在渗流场影响下的弹塑性解. 工程力学, 2009, 26(2): 216-221 (Lü Xiaocong, Xu Jinyu. Elastic-plastic solution for subsea circular tunnel under the influence of seepage field. Engineering Mechanics, 2009, 26(2): 216-221 (in Chinese)
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