Volume 26 Issue 1
Jan.  2026
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WANG Dao-yuan, ZHANG Gao-xiang, HE Shao-hui, WU Wei, CHEN Yu-bo, LIU Cheng-hong, MA Ji-wen, SONG Bao-lu, YUAN Jin-xiu, LIU Yong. Calculation method for ultimate support force of shield tunnel in homogeneous unsaturated clay strata[J]. Journal of Traffic and Transportation Engineering, 2026, 26(1): 247-256. doi: 10.19818/j.cnki.1671-1637.2026.052
Citation: WANG Dao-yuan, ZHANG Gao-xiang, HE Shao-hui, WU Wei, CHEN Yu-bo, LIU Cheng-hong, MA Ji-wen, SONG Bao-lu, YUAN Jin-xiu, LIU Yong. Calculation method for ultimate support force of shield tunnel in homogeneous unsaturated clay strata[J]. Journal of Traffic and Transportation Engineering, 2026, 26(1): 247-256. doi: 10.19818/j.cnki.1671-1637.2026.052

Calculation method for ultimate support force of shield tunnel in homogeneous unsaturated clay strata

doi: 10.19818/j.cnki.1671-1637.2026.052
Funds:

National Natural Science Foundation of China 52178378

Youth Funds of Scientific Research Projects for Higher Schools in Hebei Province QN2025302

More Information
  • Corresponding author: ZHANG Gao-xiang, assistant professor, E-mail: 3246332383@qq.com
  • Received Date: 2025-01-03
  • Accepted Date: 2025-09-26
  • Rev Recd Date: 2025-07-28
  • Publish Date: 2026-01-28
  • To accurately determine the ultimate support force of shield tunnels in unsaturated clay strata, a systematic study was conducted on the calculation method of support force at the excavation face of shield tunnels in homogeneous unsaturated clay strata by combining theoretical derivation and engineering case analysis. By considering the non-vertical slip surface morphology of the strata, the effect of soil matrix suction, the incomplete soil arching effect, and the characteristics of principal stress deflection, an analytical model of vertical earth pressure considering multi-factor coupling was constructed. Based on the limit equilibrium wedge model, a calculation method for the support force at the excavation face was further derived and constructed. The influence of key parameters on support force was discussed through engineering examples. The results indicate that the soil arching effect triggers a nonlinear evolution of vertical stress in the soil, showing a steep increase followed by a slower growth rate with increasing burial depth. The vertical stress at the top of the tunnel is positively correlated with the angle and saturation of the sliding surface and negatively correlated with the cohesive force and arch displacement. Under high saturation conditions, the recommended calculation method has a high degree of consistency with the standard calculation results, and both results are significantly higher than the predicted values of Terzaghi's theory, with a deviation range of up to 50%. As the saturation decreases, the recommended solution gradually approaches Terzaghi's theoretical solution, and the fluctuation amplitude of loose soil pressure caused by changes in saturation can reach 30%. The ultimate support force at the excavation face is influenced by the coupling of multiple parameters such as internal friction angle, cohesive force, and saturation. Among them, the saturation of the strata is the key controlling factor, and its difference can lead to a change in the support force value of more than 50%.

     

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  • [1]
    LIANG Rong-zhu, KANG Cheng, WANG Sen-yong, et al. Model test of structural response of end-restricted shield tunnel induced by surface loading and unloading[J]. Journal of Traffic and Transportation Engineering, 2025, 25(3): 178-191. doi: 10.19818/j.cnki.1671-1637.2025.03.011
    [2]
    LIU Xiao-feng, LI Xiao-long, DUAN Sheng-long, et al. Mechanical response of tunnel structure to hole-breaking process of cross passage pipe jacking construction[J]. Journal of Traffic and Transportation Engineering, 2025, 25(4): 94-108. doi: 10.19818/j.cnki.1671-1637.2025.04.007
    [3]
    CHEN Li-jun, CHEN Jian-xun, GAO Jian-feng, et al. Principle and engineering practice of active reinforcement for initial support of soft rock tunnels[J]. Journal of Traffic and Transportation Engineering, 2025, 25(4): 80-93. doi: 10.19818/j.cnki.1671-1637.2025.04.006
    [4]
    CHAMBON P, CORTÉ J F. Shallow tunnels in cohesionless soil: Stability of tunnel face[J]. Journal of Geotechnical Engineering, 1994, 120(7): 1148-1165. doi: 10.1061/(ASCE)0733-9410(1994)120:7(1148)
    [5]
    LI Y, EMERIAULT F, KASTNER R, et al. Stability analysis of large slurry shield-driven tunnel in soft clay[J]. Tunnelling and Underground Space Technology, 2009, 24(4): 472-481. doi: 10.1016/j.tust.2008.10.007
    [6]
    FU Ya-xiong, HE Lei, MA Xian-feng, et al. Centrifuge model tests on face stability of shield tunneling in soft clay[J]. Chinese Journal of Underground Space and Engineering, 2019, 15(2): 387-393.
    [7]
    LEI Hua-yang, LIU Min, CHENG Ze-yu, et al. Instability process and characteristics of the excavation face of shield tunnels using transparent clays[J]. Chinese Journal of Rock Mechanics and Engineering, 2022, 41(6): 1235-1245.
    [8]
    TERZAGHI K. Theoretical soil mechanics[M]. New York: John Wiley & Sons, Inc., 1943.
    [9]
    HANDY R L. The arch in soil arching[J]. Journal of Geotechnical Engineering, 1985, 111(3): 302-318. doi: 10.1061/(ASCE)0733-9410(1985)111:3(302)
    [10]
    CHEN Ruo-xi, ZHU Bin, CHEN Yun-min, et al. Modified Terzaghi loozening earth pressure based on theory of main stress axes rotation[J]. Rock and Soil Mechanics, 2010, 31(5): 1402-1406.
    [11]
    LI Chun-lin. Method for calculating loosening earth pressure during construction of shield tunnels[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(9): 1714-1720.
    [12]
    CHEN R P, TANG L J, YIN X S, et al. An improved 3D wedge-prism model for the face stability analysis of the shield tunnel in cohesionless soils[J]. Acta Geotechnica, 2015, 10(5): 683-692. doi: 10.1007/s11440-014-0304-5
    [13]
    LIN Gang, KONG Ling-gang, ZHAN Liang-tong, et al. An analytical model for loosening earth pressure considering matric suction based on Terzaghi soil arch effect[J]. Rock and Soil Mechanics, 2015, 36(7): 2095-2104.
    [14]
    YE Fei, FAN Kang-jia, SONG Jing, et al. The pretreatment mechanism of tunnels and its calculation method based on the incomplete arch effect[J]. Chinese Journal of Rock Mechanics and Engineering, 2017, 36(6): 1469-1478.
    [15]
    GONG Quan-mei, ZHANG Run-lai, ZHOU Shun-hua, et al. Method for calculating loosening earth pressure around tunnels based on ellipsoid theory of particle flows[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(1): 99-105.
    [16]
    JI X B, NI P P, BARLA M, et al. Earth pressure on shield excavation face for pipe jacking considering arching effect[J]. Tunnelling and Underground Space Technology, 2018, 72: 17-27. doi: 10.1016/j.tust.2017.11.010
    [17]
    WANG Da-hai, HE Shao-hui, LIU Xia-bing, et al. A modified method for determining the overburden pressure above shallow tunnels considering the distribution of the principal stress rotation and the partially mobilized arching effect[J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(6): 1284-1296.
    [18]
    WAN T, LI P F, ZHENG H, et al. An analytical model of loosening earth pressure in front of tunnel face for deep-buried shield tunnels in sand[J]. Computers and Geotechnics, 2019, 115: 103170. doi: 10.1016/j.compgeo.2019.103170
    [19]
    LIN X T, SU D, SHEN X, et al. Effect of tunnelling-induced ground loss on the distribution of earth pressure on a deep underground structure[J]. Computers and Geotechnics, 2022, 147: 104781. doi: 10.1016/j.compgeo.2022.104781
    [20]
    LIN X T, CHEN R P, WU H N, et al. Calculation of earth pressure distribution on the deep circular tunnel considering stress-transfer mechanisms in different zones[J]. Tunnelling and Underground Space Technology, 2022, 119: 104211. doi: 10.1016/j.tust.2021.104211
    [21]
    CUI Peng-bo, ZHU Yong-quan, LIU Yong, et al. Calculation of ultimate supporting forces of shield tunnels in unsaturated sandy soils considering soil arching effects[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(5): 873-881.
    [22]
    CUI Peng-bo, ZHU Yong-quan, LIU Yong, et al. Model test and particle flow numerical simulation of soil arch effect for unsaturated sandy soil tunnel[J]. Rock and Soil Mechanics, 2021, 42(12): 3451-3466.
    [23]
    FREDLUND D G, MORGENSTERN N R, WIDGER R A. The shear strength of unsaturated soils[J]. Canadian Geotech-nical Journal, 1978, 15(3): 313-321. doi: 10.1139/t78-029
    [24]
    VANAPALLI S K, FREDLUND D G, PUFAHL D E, et al. Model for the prediction of shear strength with respect to soil suction[J]. Canadian Geotechnical Journal, 1996, 33(3): 379-392. doi: 10.1139/t96-060
    [25]
    WANG Cheng-bing, ZHU He-hua. Experimental study of influence mechanism of buried depth on surrounding rock failure of tunnel constructed in soft rock[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(12): 2442-2448.
    [26]
    LIU Yan-peng. Study on the dynamic pressure arching characteristics of the tunnel constructed in soft surrounding rock[D]. Xi'an: Chang'an University, 2013.
    [27]
    HORN L S. A quantitative study of the geometry of dilatation and of faulting in a uniformly strained body[J]. Journal of Geology, 1961, 69(3): 265-280.
    [28]
    TB 10003—2016, Code for design of railway tunnel[S].
    [29]
    LU N, LIKOS W J. Unsaturated soil mechanics[M]. New York: John Wiley & Sons, Inc., 2004.
    [30]
    JANCSECZ S, STEINER W. Face support for a large mix-shield in heterogeneous ground conditions[C]//Elsevier. Proceedings of the 7th International Symposium on Tunnelling. Amsterdam: Elsevier, 1994: 531-550.
    [31]
    LI Ao, ZHANG Ding-li, SUN Zhen-yu, et al. Analytical solution of limit support pressure at shield tunnel working face in clay layer[J]. Railway Engineering, 2019, 59(4): 71-75.
    [32]
    XU Jing-shu, LIU Jun, LU De-chun, 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.
    [33]
    JIANG Min. Study on upper bound method for supporting force of shallow tunnel face[D]. Changsha: Central South University, 2014.

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