Upper Bound Analysis of Passive Instability on the Excavation Face of Shallow-Buried Shield Tunnels with Longitudinal Slope

  • Pan Yanqiu ,
  • Liu Zonghui ,
  • Wei Wei
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  • 1. School of Architectural Engineering, Zhengzhou University of Industrial Technology, Zhengzhou 451100, P.R. China;
    2. China Construction Seventh Bureau Installation Engineering Co., Ltd., Zhengzhou 450000, P.R. China

Received date: 2025-05-19

  Online published: 2026-04-28

Abstract

Due to its insufficient cover thickness, the excavation face of shallow-shield tunnels is susceptible to passive instability. Tunnel longitudinal slope lead to sudden changes in cover thickness, making the passive failure mechanism of tunnel faces more complicated. There is an urgent need to explore analytical methods for excavation face stability in shallow-buried longitudinal slope shield tunnels. Based on upper bound analysis, a two-dimensional rotation-translation mechanism is proposed that simultaneously considers tunnel longitudinal slope and local instability at the excavation face. The mechanism is comprised of two rigid translation blocks and one rigid rotation block. The ultimate support pressure and failure mode of passive instability at the excavation face are obtained. Finally, the effects of longitudinal slope δ and partial failure ratio η on ultimate support pressure and failure mode of tunnel faces are analyzed, and the reasonableness of proposed models is verified by combining with engineering cases. The results indicate that: Partial failure range of excavation faces gradually increases with the increase of longitudinal inclination angle δ. As the cover depth ratio C/D increases, partial failure of the excavation face evolves into global failure. The rotation angle θ of the rigid rotating block decreases with the increase of the longitudinal inclination δ, and the longitudinal inclination δ has a significant effect on the rotation angle θ.

Cite this article

Pan Yanqiu , Liu Zonghui , Wei Wei . Upper Bound Analysis of Passive Instability on the Excavation Face of Shallow-Buried Shield Tunnels with Longitudinal Slope[J]. Chinese Journal of Underground Space and Engineering, 2026 , 22(2) : 459 -470 . DOI: 10.20174/j.JUSE.2026.02.08

References

[1] 刘泉维. 透水砂层泥水平衡盾构开挖面失稳破坏机理研究[D]. 北京:北京交通大学, 2014. (Liu Weiquan. Stability research on excavation face of slurry blanced shield in the permeable sand layers[D]. Beijing: Beijing Jiaotong University, 2014. (in Chinese))
[2] 中华人民共和国住房和城乡建设部. 地铁设计规范 (GB50157-2013)[S]. 北京: 中国建筑工业出版社, 2014. (Ministry of Housing and Urban Rural Development of the People's Republic of China. Code for design of metro (GB50157-2013)[S]. Beijing: China Architecture & Building Press, 2014. (in Chinese))
[3] 高俊华, 杨光, 赵森森,等.软土地区浅埋大直径盾构隧道管片上浮规律及预测:以上海机场联络线工程为例[J].科学技术与工程, 2024, 24(11): 4759-4768. (Gao Junhua, Yang Guang, Zhao Sensen, et al. Regularity and prediction of segment floating of shallow buried large diameter shield tunnel in soft soil area: a case study on Shanghai airport contact line[J]. Science Technology and Engineering, 2024, 24(11): 4759-4768. (in Chinese))
[4] Chen W F. Limit analysis and soil plasticity[M]. Amersterdam: Elsevier, 1975.
[5] Davis E H, Gunn M J, Mair R J, et al. The stability of shallow tunnels and underground openings in cohesive material[J].Géotechnique, 1980, 30(30): 397-416.
[6] Sloan S W, Assadi A. Undrained stability of a plane strain heading[J]. Canadian Geotechnical Journal, 1994, 31(3): 443-450.
[7] Leca E,Dormieux L. Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material[J]. Géotechnique, 1990, 40(4): 581-606.
[8] Soubra A H. Three-dimensional face stability analysis of shallow circular tunnels[A]// International Conference on Geotechnical and Geological Engineering[C]. Melbourne, Australia, 2000: 19-24.
[9] Soubra A H. Kinematical approach to the face stability analysis of shallow circular tunnels[A]// 8th International Symposium on Plasticity[C]. British Columbia, Canada, 2002: 443-445.
[10] Mollon G, Dias D, Soubra A H. Face stability analysis of circular tunnels driven by a pressurized shield[J]. Journal of Geotechnical and Geoenvironmental Engineering (ASCE), 2010, 136(1): 215-229.
[11] Mollon G, Dias D, Soubra A H. Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 35(12): 1363-1388.
[12] Wong K S, Ng C WW, Chen Y M, et al. Centrifuge and numerical investigation of passive failure of tunnel face in sand[J]. Tunnelling and Underground Space Technology, 2012, 28: 297-303.
[13] Qian W F, Huang M, Wang B N, et al. Experimental study of face passive failure features of a shallow shield tunnel in coastal backfill sand[J]. Frontiers of Structural and Civil Engineering, 2024, 18(2): 252-271.
[14] Liu W, Wu B, Shi P X, et al. Upper bound analysis of workingface passive failure in large-diameter shield tunneling based on a composite mechanism[J]. Computers and Geotechnics, 2021, 138: 104362.
[15] 胡艳峰, 钱伟丰, 黄明, 等. 滨海吹填砂地层盾构纵坡掘进被动支护压力计算方法研究[J]. 公路工程, 2022, 47(2): 39-48, 82. (Hu Yanfeng, Qian Weifeng, Huang Ming, et al. Study on calculation method of support pressure of passive tunnel face in longitudinal slope of shield tunnel in coastal hydraulic fill sand stratum[J]. Highway Engineering, 2022, 47(2): 39-48, 82. (in Chinese))
[16] Dias D, Janin J P,Sourba A H, et al. Three-dimensional face stability analysis of circular tunnels by numerical simulation[A]// Proceedings of GeoCongress 2008: Characterization, Monitoring, and Modeling of GeoSystems[C]. Louisiana: ASCE, 2008: 886-893.
[17] Li P F, Chen K Y, Wang F, et al. An upper-bound analytical model of blow-out for a shallow tunnel in sand considering the partial failure within the face[J]. Tunnelling and Underground Space Technology, 2019, 91: 102989.
[18] 王林, 韩凯航, 郭彩霞, 等. 考虑局部失稳的盾构隧道开挖面挤出破坏数值模拟与理论分析[J]. 土木工程学报, 2020, 53(增1): 50-56. (Wang Lin, Han Kaihang, Guo Caixia, et al. Numerical simulation and theoretical analysis of passive failure mechanism of shield tunnel face considering partial instability[J]. China Civil Engineering Journal, 2020, 53(Supp.1): 50-56. (in Chinese))
[19] 刘庆, 崔秀丽, 秦鹏飞. 浅埋大直径盾构隧道开挖面局部破坏的被动稳定性研究[J]. 铁道标准设计, 2023, 67(11): 142-151, 206. (Liu Qin, Cui Xiuli, Qin Pengfei. Study on passive stability of tunnel faces in shallow large diameter shield tunnels considering partial failure[J]. Railway Standard Design, 2023, 67(11): 142-151, 206. (in Chinese))
[20] 周峻, 杨子松, 彭芳乐. 上坡条件下盾构开挖面极限支护压力研究[J]. 地下空间与工程学报, 2011, 7(5): 914-918. (Zhou Jun, Yang Zisong, Peng Fangle. A study on the support pressure limit of the excavation face of shield tunnel under upslope conditions[J]. Chinese Journal of Underground Space and Engineering, 2011, 7(5): 914-918. (in Chinese))
[21] Cheng C, Jia P J, Zhao W, et al. Experimental and analytical study of shield tunnel face in dense sand strata considering different longitudinal inclination[J].Tunnelling and Underground Space Technology, 2021, 113: 103950.
[22] 许敬叔, 刘俊, 路德春, 等. 基于多对数螺旋曲线破坏机构的富水软岩隧道开挖面支护应力分析[J]. 北京工业大学学报, 2024, 50(5): 571-582. (Xu Jingshu, Liu Jun, Lu Dechun, et al. Supporting pressure for tunnel face in water-rich weathered rock masses based on a multi-log spiral failure mechanism[J]. Journal of Beijing University of Technology, 2024, 50(5): 571-582. (in Chinese))
[23] 刘新荣, 刘东双, 陈强, 等. 泥水盾构开挖面稳定影响因素及参数优化研究[J]. 地下空间与工程学报, 2022, 18(6): 1954-1961. (Liu Xinrong, Liu Dongshuang, Chen Qiang, et al. Research on the sensitivity of factors affecting the stability of slurry shield excavation face and control parameter optimization[J]. Chinese Journal of Underground Space and Engineering, 2022, 18(6): 1954-1961. (in Chinese))
[24] Zhang C P, Han K H, Zhang D L. Face stability analysis of shallow circular tunnels in cohesive-frictional soils[J]. Tunnelling and Underground Space Technology, 2015, 50: 345-357.
[25] 王洪新. 土压平衡盾构刀盘开口率对土舱压力的影响[J]. 地下空间与工程学报, 2012, 8(1): 89-93+104. (Wang Hongxin. Influence of aperture ratio of cutterhead of epb shield on earth pressure in the chamber[J]. Chinese Journal of Underground Space and Engineering, 2012, 8(1): 89-93, 104. (in Chinese))
[26] 赵文, 程诚, 李慎刚, 等. 盾构开挖面楔形体支护压力模型分析及改进[J]. 中国公路学报, 2017, 30(8): 74-81, 90. (Zhao Wen, Cheng Cheng, Li Shengang, et al. Analysis and improvement of wedge supporting pressure model of shield tunnel excavation face[J]. China Journal of Highway and Transport, 2017, 30(8): 74-81, 90. (in Chinese))
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