Abstract
Based on the theory of limit and the unified strength theory, the three-dimensional failure pattern and the corresponding velocity field on the heading face for cyclical footage are proposed, considering the influence of the cyclical footage and the intermediate principle stress on the heading face stability. Addition, the influence of various parameters on the heading face stability is analyzed. The present study shows that the first increase in internal friction angle (lower than 25°) can promote the heading face stability. Then, the increase in the cohesion can promote the stability when the internal friction angle is higher than 25°. In addition, for the relatively intact instead of the poor surrounding rock, the promotion of the stress conditions of the heading face, caused by by the intermediate principle stress, indicates that the Mohr-Coulomb criterion is conservative.
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References
Chambon P, Corte JF (1994) Shallow tunnels in cohesionless soil: Stability of tunnel face. Journal of Geotechnical Engineering 120(7):1148–1165, DOI: https://doi.org/10.1061/(ASCE)0733-9410(1994)120:7(1148)
Fan W, Sheng ZJ, Yu MH (2005) Upper-bound limit analysis of earth pressure based on unified strength theory. Chinese Journal of Geotechnical Engineering 27(10):1147–1153s (in Chinese)
Kirsch A (2010) Experimental investigation of the face stability of shallow tunnels in sand. Acta Geotechnica 5(1):43–62, DOI: https://doi.org/10.1007/s11440-010-0110-7
Leca E, Dormieux L (1990) Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material. Géotechnique 40(4):581–606, DOI: https://doi.org/10.1680/geot.1990.40.4.581
Lee YZ, Schubery W (2008) Determination of the round length for tunnel excavation in weak rock. Tunnelling & Underground Space Technology Incorporating Trenchless Technology Research 23(3):221–231, DOI: https://doi.org/10.1016/j.tust.2007.04.001
Liang Q, Sun ZB, Pan QJ (2016) Analysis of round length based on upper bound method and limit equilibrium in tunnel excavation. China Journal of Highway and Transport 16(29):96–106, DOI: https://doi.org/10.19721/j.cnki.1001-7372.2016.04.012 (in Chinese)
Lunardi P (2011) Design and construction of tunnels. China Railway Publishing House, Beijing, China, 10–30
Mollon G, Dias D, Soubra AH (2009) Probabilistic analysis and design of circular tunnels against face stability. International Journal of Geomechanics 9(6):237–249, DOI: https://doi.org/10.1061/(ASCE)1532-3641(2009)9:6(237)
Mollon G, Dias D, Soubra AH (2011) Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield. International Journal for Numerical & Analytical Methods in Geomechanics 35(12):1363–1388, DOI: https://doi.org/10.1002/nag.962
Otani J, Mukunoki T, Sugawara K (2005) Evaluation of particle crushing in soils using x-ray CT data. Journal of the Japanese Geotechnical Society 45(1):99–108
Takano D, Otani J, Nagatani H, Mukunoki T (2006) Application of X-Ray CT on boundary value problems in geotechnical engineering: Research on tunnel face failure. Geocongress, February 26–March 1, Atlanta, GA, USA
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 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)
Yang XL, Zhang R (2018) Limit analysis of stability of twin shallow tunnels considering surface settlement. KSCE Journal of Civil Engineering 22(5):1967–1977, DOI: https://doi.org/10.1007/s12205-017-1398-8
Yang XL, Zhong JH (2019) Stability analysis of tunnel face in nonlinear soil under seepage flow. KSCE Journal of Civil Engineering 23(10):4553–4563, DOI: https://doi.org/10.1007/s12205-019-0601-5
Yang JS, Zhou WL (1992) An exploration for the projection theory on the ellipse obtained by plane-obliquely truncated cone approach. Journal of Shaanxi University of Science & Technology 4(4):39–47 (in Chinese)
Yu MH (1994) Unified strength theory for geomaterials and its applications. Chinese Journal of Geotechnical Engineering 16(2):1–10 (in Chinese)
Yu MH (2007) Linear and nonlinear unified strength theory. Chinese Journal of Rock Mechanics and Engineering 26(4):662–669, DOI: https://doi.org/10.3321/j.issn:1000-6915.2007.04.002 (in Chinese)
Zhang DL (2018) Essential issues and their research progress in tunnel and underground engineering. Chinese Journal of Theoretical and Applied Mechanics 49(1):3–21, DOI: https://doi.org/10.6052/0459-1879-16-348 (in Chinese)
Zhang C, Han K, Zhang D (2015) Face stability analysis of shallow circular tunnels in cohesive-frictional soils. Tunnelling & Underground Space Technology 50:345–357, DOI: https://doi.org/10.1016/j.tust.2015.08.007
Zhang ZG, Huang MS, Zhang CP, Jiang KM, Bai QM (2020a) Analytical prediction of tunneling-induced ground movements and liner deformation in saturated soils considering influences of shield air pressure. Applied Mathematical Modelling 78(2):749–772, DOI: https://doi.org/10.1016/j.apm.2019.10.025
Zhang ZG, Huang MS, Zhang CP, Jiang KM, Wang ZW, Xi XG (2020b) Complex variable solution for twin tunneling-induced ground movements considering non-uniform convergence pattern. International Journal of Geomechanics 20(6):04020060, DOI: https://doi.org/10.1061/(ASCE)GM.1943-5622.0001700
Zhang ZG, Pan YT, Zhang MX, Lv XL, Jiang KM, Li SN (2020c) Complex variable analytical prediction for ground deformation and lining responses due to shield tunneling considering groundwater level variation in clays. Computers and Geotechnics 120(4):103443, DOI: https://doi.org/10.1016/j.compgeo.2020.103443
Zhang JH, Wang WJ, Zhang DB, Zhang B, Meng F (2018) 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
Zhao Y, Tian SM, Sun Y (2017) Development and planning of highspeed railway tunnels in China. Tunnel Construction 37(1):11–17 (in Chinese)
Acknowledgments
The research was supported by the Project Supported by Scientific Research Foundation of Hunan Provincial Education Department (Grant NO.20A118). Part of this research was funded from the Hunan Provincial Key Laboratory of Intelligent Disaster Prevention-Mitigation and the Ecological Restoration in Civil Engineering and Key investigation and application of Intelligent Disaster Prevention-Mitigation and Ecological Restoration in Civil Engineering.
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Liang, Q., Liu, J., Wang, J. et al. Three-Dimensional Stability of Cyclical Footage Area in Tunnel Face. KSCE J Civ Eng 26, 955–965 (2022). https://doi.org/10.1007/s12205-021-0600-1
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DOI: https://doi.org/10.1007/s12205-021-0600-1