Analytical solution for longitudinal seismic response of tunnels with segmental flexible joints crossing faults

YU Haitao; WEI Yibo

doi:10.11779/CJGE20220315

Volume 45 Issue 5

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Chinese Journal of Geotechnical Engineering > 2023 > 45(5): 912-920. > DOI: 10.11779/CJGE20220315

YU Haitao, WEI Yibo. Analytical solution for longitudinal seismic response of tunnels with segmental flexible joints crossing faults[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(5): 912-920. DOI: 10.11779/CJGE20220315

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Analytical solution for longitudinal seismic response of tunnels with segmental flexible joints crossing faults

YU Haitao^1,,
WEI Yibo²

1.
State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
2.
Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China

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Received Date: March 21, 2022
Available Online: May 18, 2023

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Abstract

Abstract

The seismic damage induced by fault dislocation is a long-standing problem in the disaster prevention and control of tunnels crossing faults. Setting segmental flexible joints is an effective aseismic measure in the engineering practices. At present, no analytical solutions are available for the design of segmental flexible joints. An analytical solution for longitudinal seismic response of tunnels with segmental flexible joints crossing faults is presented. For the derivation, the segmental tunnel is assumed as a finite Euler-Bernoulli beam on the Pasternak two-parameter foundation, and the tunnel joints are simplified as the shear and bending spring elements. The discontinuous displacement fields in the fault zone are simplified as the external loads exerted on the beam, which considers the discontinuity of the fault site. The analytical solution for the longitudinal seismic response of tunnels with segmental flexible joints under fault dislocation is derived based on the established governing equations and boundary conditions. The proposed solution is verified by comparing its results with those from the tests and FEM model. Finally, the sensitivity analysis is carried out to investigate the influences of the setting plans for segmental flexible joints and the tunnel-joint stiffness ratio on the response of internal force of tunnel structures. The results indicate that flexible joints can effectively reduce the response of longitudinal internal force of tunnel structures in the affected area by the fault dislocation, and the response of internal force of tunnel structures is effectively reduced with the increase of flexible joints. It is concluded that the response of internal force can be significantly reduced when the flexible joints are respectively arranged on the fault dislocation surface and the interface between the faults and the hanging wall/footwall. Besides, the response of internal force of tunnels can be further reduced by increasing the tunnel-joint stiffness ratio. The research may provide a theoretical basis for the seismic analysis and the design of tunnels with flexible joints crossing faults.
- tunnel crossing fault,
- fault dislocation,
- segmental flexible joint,
- seismic response,
- analytical solution

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References (17)

References

[1]	WANG W L, WANG T T, SU J J, et al. Assessment of damage in mountain tunnels due to the Taiwan Chi-chi earthquake[J]. Tunnelling and Underground Space Technology, 2001, 16(3): 133-150. doi: 10.1016/S0886-7798(01)00047-5
[2]	YU H T, CHEN J T, BOBET A, et al. Damage observation and assessment of the Longxi tunnel during the Wenchuan earthquake[J]. Tunnelling and Underground Space Technology, 2016, 54: 102-116. doi: 10.1016/j.tust.2016.02.008
[3]	DALGIC S. Tunneling in squeezing rock, the Bolu tunnel, Anatolian motorway, Turkey[J]. Engineering Geology, 2002, 67(1/2): 73-96.
[4]	SHAHIDI A R, VAFAEIAN M. Analysis of longitudinal profile of the tunnels in the active faulted zone and designing the flexible lining (for Koohrang-Ⅲ tunnel)[J]. Tunnelling and Underground Space Technology, 2005, 20(3): 213-221. doi: 10.1016/j.tust.2004.08.003
[5]	禹海涛, 袁勇. 长大隧道地震响应分析与试验方法新进展[J]. 中国公路学报, 2018, 31(10): 19-35. doi: 10.3969/j.issn.1001-7372.2018.10.003 YU Haitao, YUAN Yong. Review on seismic response analysis and test methods for long and large tunnels[J]. China Journal of Highway and Transport, 2018, 31(10): 19-35. (in Chinese) doi: 10.3969/j.issn.1001-7372.2018.10.003
[6]	禹海涛, 李衍熹. 土-结构动力作用体系混合试验研究进展与探讨[J]. 中国公路学报, 2020, 33(12): 105-117. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL202012009.htm YU Haitao, LI Yanxi. Review and discussion on recent progress of hybrid simulation for soil-structure dynamic interaction system[J]. China Journal of Highway and Transport, 2020, 33(12): 105-117. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL202012009.htm
[7]	刘学增, 林亮伦. 75°倾角逆断层黏滑错动对公路隧道影响的模型试验研究[J]. 岩石力学与工程学报, 2011, 30(12): 2523-2530. LIU Xuezeng, LIN Lianglun. Research on model experiment of effect of thrust fault with 75°dip angle stick-slip dislocation on highway tunnel[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(12): 2523-2530. (in Chinese)
[8]	黄强兵, 彭建兵, 门玉明, 等. 分段柔性接头地铁隧道适应地裂缝大变形的模型试验研究[J]. 岩石力学与工程学报, 2010, 29(8): 1546-1554. HUANG Qiangbing, PENG Jianbing, MEN Yuming, et al. Model test study of sectional metro tunnel with flexible joints adapting large deformation of ground fissures[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(8): 1546-1554. (in Chinese)
[9]	MELISSIANOS V E, LIGNOS X A, BACHAS K K, et al. Experimental investigation of pipes with flexible joints under fault rupture[J]. Journal of Constructional Steel Research, 2017, 128: 633-648. doi: 10.1016/j.jcsr.2016.09.026
[10]	YAN G, SHEN Y, GAO B, et al. Damage evolution of tunnel lining with steel reinforced rubber joints under normal faulting: An experimental and numerical investigation[J]. Tunnelling and Underground Space Technology, 2020, 97: 103223. doi: 10.1016/j.tust.2019.103223
[11]	YU H T, ZHANG Z W, CHEN J T, et al. Analytical solution for longitudinal seismic response of tunnel liners with sharp stiffness transition[J]. Tunnelling and Underground Space Technology, 2018, 77: 103-114. doi: 10.1016/j.tust.2018.04.001
[12]	刘国钊, 乔亚飞, 何满潮, 等. 活动性断裂带错动下隧道纵向响应的解析解[J]. 岩土力学, 2020, 41(3): 923-932. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX202003023.htm LIU Guozhao, QIAO Yafei, HE Manchao, et al. An analytical solution of longitudinal response of tunnels under dislocation of active fault[J]. Rock and Soil Mechanics, 2020, 41(3): 923-932. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX202003023.htm
[13]	TANAHASHI H. Formulas for an infinitely long Bernoulli-Euler beam on the Pasternak model[J]. Soils and Foundations, 2004, 44(5): 109-118.
[14]	VESIĆ A B. Bending of beams resting on isotropic elastic solid[J]. Journal of the Engineering Mechanics Division, 1961, 87(2): 35-53.
[15]	李宏, 陈征, 王海忠, 等. 南北带南段实测地应力特征与钻孔应变观测[C]//2014年中国地球科学联合学术年会. 北京, 2014. LI Hong, CHEN Zheng, WANG Haizhong, et al. In-situ stress characteristics and borehole strain observation in the southern section of north-south belt[C]//Annual Meeting of Chinese Geoscience Union. Beijing, 2014. (in Chinese)
[16]	孙飞. 穿越活断层地铁隧道结构损伤破坏机理及抗错动性能研究[D]. 成都: 西南交通大学, 2019. SUN Fei. Study on Damage and Fracture Mechanism and Anti- Displacement Performance of Metro Tunnels Passing through Active Faults[D]. Chengdu: Southwest Jiaotong University, 2019. (in Chinese)
[17]	SHIBA Y, KAWASHIMA K, OBINATA N, et al. Evaluation procedure for seismic stress developed in shield tunnels based on seismic deformation method. [J]. Doboku Gakkai Ronbunshu, 1989(404): 385-394.