Abstract
In this paper, the seismic stability of shield tunnel face under multiple correlated failure modes is studied by combining the upper bound theorem of limit analysis with the response surface method. The pseudo-static method is employed to research the influence of seismic forces on the assessment of active and passive failure of shield tunnel face. The critical collapse pressure and blowout pressure of tunnel face are solved by the upper bound method. Furthermore, the reliability model of shield tunnel face is established in terms of these two limit states, and the range of supporting pressure to ensure the stability of tunnel face is obtained by the response surface method. Comparison of the solutions of this paper with existing results verifies the present method. The research shows that, the safe range of supporting pressure of tunnel face based on the reliability model of multiple correlated failure modes is more reasonable and effective. The soil shear strength and seismic force exert an obvious effect on the stability of tunnel face. In addition, the dispersion of random variables reduces the stability of shield tunnel face. This work can provide some guidance for the anti-seismic design of tunnel face in earthquake-prone regions.
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References
Ausilio E, Conte E, Dente G (2000) Seismic stability analysis of reinforced slopes. Soil Dynamics and Earthquake Engineering 19(3):159–172, DOI: https://doi.org/10.1016/s0267-7261(00)00005-1
Huang F, Zhang M, Wang F, Ling TH, Yang XL (2020) The failure mechanism of surrounding rock around an existing shield tunnel induced by an adjacent excavation. Computers and Geotechnics 117:103236, DOI: https://doi.org/10.1016/j.compgeo.2019.103236
Ibrahim E, Soubra A H, Mollon G, Raphael W, Dias D, Reda A (2015) Three-dimensional face stability analysis of pressurized tunnels driven in a multilayered purely frictional medium. Tunnelling and Underground Space Technology 49(01):18–34, DOI: https://doi.org/10.1016/j.tust.2015.04.001
Li DJ, Zhao LH, Cheng X, Zuo S, Jiao KF (2020) Upper-bound limit analysis of passive failure of a 3D shallow tunnel face under the bidirectional inclined ground surfaces. Computers and Geotechnics 118:103310, DOI: https://doi.org/10.1016/j.compgeo.2019.103310
Liu Z (2012) Study of blow-out failure mechanism and limit supporting force on tunnel face in shallow metro tunnel. MSc Thesis, Central South University, Cha Shang, China (in Chinese)
Liu W, Shi PX, Chen LJ, Tang Q (2020) Analytical analysis of working face passive stability during shield tunneling in frictional soils. Acta Geotechnica 15:781–794, DOI: https://doi.org/10.1007/s11440-018-0753-3
Michalowski RL (1998) Soil reinforcement for seismic design of geotechnical structures. Computers and Geotechnics 23(1–2):1–17, DOI: https://doi.org/10.1016/S0266-352X(98)00016-0
Mollon G, Dias D, Soubra AH (2010) Face stability analysis of circular tunnels driven by a pressurized shield. Journal of Geotechnical and Geoenvironmental Engineering 136(1):215–229, DOI: https://doi.org/10.1061/(ASCE)GT.1943-5606.0000194
Saada Z, Maghous S, Garnier D (2013) Pseudo-static analysis of tunnel face stability using the generalized Hoek-Brown strength criterion. International Journal for Numerical and Analytical Methods in Geomechanics 37(18):3194–3212, DOI: https://doi.org/10.1002/nag.2185
Senent S, Mollon G, Jimenez R (2013) Tunnel face stability in heavily fractured rock masses that follow the Hoek-Brown failure criterion. International Journal of Rock Mechanics and Mining Sciences 60(1):440–451, DOI: https://doi.org/10.1016/j.ijrmms.2013.01.004
Subrin D, Wong H (2002) Tunnel face stability in frictional material: A new 3D failure mechanism. Comptes Rendus Mecanique 330(7): 513–519, DOI: https://doi.org/10.1016/S1631-0721(02)01491-2
Yang XL, Huang F (2011) Collapse mechanism of shallow tunnel based on nonlinear Hoek-Brown failure criterion. Tunnelling and Underground Space Technology 26(6):686–691, DOI: https://doi.org/10.1016/j.tust.2011.05.008
Yang F, Yang JS, Zhao LH (2010) Collapse mechanism and support pressure for shallow tunnel face. Chinese Journal of Geotechnical Engineering 32(02):279–284 (in Chinese)
Yang XL, Yao C, Zhang JH (2016) Safe retaining pressures for pressurized tunnel face using nonlinear failure criterion and reliability theory. Journal of Central South University 23(3):708–720, DOI: https://doi.org/10.1007/s11771-016-3116-y
Yang XL, Yin JH (2004) Slope stability analysis with nonlinear failure criterion. Journal of Engineering Mechanics 130(3): 267–273, DOI: https://doi.org/10.1061/(ASCE)0733-9399(2004)130:3(267)
Zhang B, Ma ZY, Wang X, Zhang JS, Peng WQ (2020a) Reliability analysis of anti-seismic stability of 3D pressurized tunnel faces by response surfaces method. Geomechanics and Engineering 20(1): 43–54, DOI: https://doi.org/10.12989/gae.2020.20.1.043
Zhang DB, Ma ZY, Yu B, Yin HD (2019) Upper bound solution of surrounding rock pressure of shallow tunnel under nonlinear failure criterion. Journal of Central South University 26(7):1696–1705, DOI: https://doi.org/10.1007/s11771-019-4126-3
Zhang B, Wang X, Zhang JS, Meng F (2018a) Three-dimensional seismic stability analysis of tunnel faces with quasi-static method. Geomechanics and Engineering 13(2):301–318, DOI: https://doi.org/10.12989/gae.2017.13.2.301
Zhang B, Wang X, Zhang JS, Zhang JH, Cheng H (2018b) Safe range analysis of clear distance of twin shallow tunnels based on limit analysis and reliability theory. Journal of Central South University 25(1):196–207, DOI: https://doi.org/10.1007/s11771-018-3729-4
Zhang JH, Wang WJ, Zhang DB, Zhang B, Meng F (2018c) Safe range of retaining pressure for three-dimensional face of pressurized tunnels based on limit analysis and reliability method. KSCE Journal of Civil Engineering 22(11):4645–4656, DOI: https://doi.org/10.1007/s12205-017-0619-5
Zhang J, Yang F, Liu Z, Yang J (2014) Three-dimensional limit analysis of blow-out failure modes of shallow tunnels. Chinese Journal of Geotechnical Engineering 36(7):1344–1349 (in Chinese)
Zhang JH, Zhang B (2019) Reliability analysis for seismic stability of tunnel faces in soft rock masses based on a 3D stochastic collapse model. Journal of Central South University 26(7):1706–1718, DOI: https://doi.org/10.1007/s11771-019-4127-2
Zhang DB, Zhang B (2020) Stability analysis of the pressurized 3D tunnel face in anisotropic and nonhomogeneous soils. International Journal of Geomechanics 20(4):04020018, DOI: https://doi.org/10.1061/(ASCE)GM.1943-5622.0001635
Zhang JH, Zhang LY, Wang WJ, Zhang DB, Zhang B (2020b) Probabilistic analysis of three-dimensional tunnel face stability in soft rock masses using Hoek-Brown failure criterion. International Journal for Numerical and Analytical Methods in Geomechanics 44(11): 1601–1616, DOI: https://doi.org/10.1002/nag.3085
Zhong JH, Yang XL (2020) Kinematic stability of tunnel face in nonuniform soils. KSCE Journal of Civil Engineering 24(2):670–681, DOI: https://doi.org/10.1007/s12205-019-0996-z
Zhong JH, Yang XL (2021) Seismic stability of three-dimensional slopes considering the nonlinearity of soils. Soil Dynamics and Earthquake Engineering 140:106334, DOI: https://doi.org/10.1016/j.soildyn.2020.106334
Acknowledgments
This study was financially supported by the National Natural Science Foundation of China (52074116, 51804113) and Natural Science Foundation of Hunan Province (2019JJ40082). These supports were greatly appreciated.
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Zhang, D., Sun, W., Wang, C. et al. Reliability Analysis of Seismic Stability of Shield Tunnel Face under Multiple Correlated Failure Modes. KSCE J Civ Eng 25, 3172–3185 (2021). https://doi.org/10.1007/s12205-021-2174-3
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DOI: https://doi.org/10.1007/s12205-021-2174-3