Stability Analysis of Pressurized 3D Tunnel Face with Tensile Strength Cutoff
Publication: International Journal of Geomechanics
Volume 21, Issue 11
Abstract
The aim of this study is to propose an effective approach to evaluate the stability of a shield tunnel face with tensile strength cutoff by using the upper-bound limit analysis method. Based on the discretization and “point by point” techniques, two improved rotational failure mechanisms, namely the improved collapse failure mechanism and the improved blowout failure mechanism, are developed with the tensile cutoff for the first time. Based on these improved failure mechanisms, the critical collapse and blowout pressures of tunnel faces are then determined by using the upper-bound limit analysis method. The proposed method is then validated by comparisons with previous analytical solutions and numerical results, showing that the proposed method is an effective approach to evaluate the stability of shield tunnel faces. The influences of model parameters on the critical support pressures and the failure feature of the proposed mechanisms are finally presented.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The support from the Guizhou Provincial Science and Technology Major Project (Qian-ke-he-zhong-da-zhuan-xiang-zi [2018]3010) is greatly appreciated.
References
Anagnostou, G., and K. Kovári. 1996. “Face stability conditions with earth-pressure-balanced shields.” Tunnelling Underground Space Technol. 11 (2): 165–173. https://doi.org/10.1016/0886-7798(96)00017-X.
Anagnostou, S. 2012. “The contribution of horizontal arching to tunnel face stability.” geotechnik 35 (1): 34–44. https://doi.org/10.1002/gete.201100024.
Baker, R. 2004. “Nonlinear Mohr envelopes based on triaxial data.” J. Geotech. Geoenviron. Eng. 130 (5): 498–506. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(498).
Cai, M., P. K. Kaiser, Y. Tasaka, and M. Minami. 2007. “Determination of residual strength parameters of jointed rock masses using the GSI system.” Int. J. Rock Mech. Min. Sci. 44 (2): 247–265. https://doi.org/10.1016/j.ijrmms.2006.07.005.
Chen, G., J. Zou, Q. Pan, Z.-H. Qian, and H.-Y. Shi. 2020. “Earthquake-induced slope displacements in heterogeneous soils with tensile strength cutoff.” Comput. Geotech. 124: 103637. https://doi.org/10.1016/j.compgeo.2020.103637.
Chen, G., J. Zou, and Z. Qian. 2019. “An improved collapse analysis mechanism for the face stability of shield tunnel in layered soils.” Geomech. Eng. 17 (1): 97–107. https://doi.org/10.12989/gae.2019.17.1.097.
Chen, W. F. 1975. Limit analysis and soil plasticity. Amsterdam, Netherlands: Elsevier.
Du, D., D. Dias, and X. Yang. 2018. “Analysis of earth pressure for shallow square tunnels in anisotropic and non-homogeneous soils.” Comput. Geotech. 104: 226–236. https://doi.org/10.1016/j.compgeo.2018.08.022.
He, Y., Y. Liu, H. Hazarika, and R. Yuan. 2019. “Stability analysis of seismic slopes with tensile strength cutoff.” Comput. Geotech. 112: 245–256. https://doi.org/10.1016/j.compgeo.2019.04.029.
Huang, F., and X. L. Yang. 2011. “Upper bound limit analysis of collapse shape for circular tunnel subjected to pore pressure based on the Hoek-Brown failure criterion.” Tunnelling Underground Space Technol. 26 (5): 614–618. https://doi.org/10.1016/j.tust.2011.04.002.
Huang, M., Z. Tang, W. Zhou, and J. Yuan. 2018. “Upper bound solutions for face stability of circular tunnels in nonhomogeneous and anisotropic clays.” Comput. Geotech. 98: 189–196. https://doi.org/10.1016/j.compgeo.2018.02.015.
Ibrahim, E., A.-H. Soubra, G. Mollon, W. Raphael, D. Dias, and A. Reda. 2015. “Three-dimensional face stability analysis of pressurized tunnels driven in a multilayered purely frictional medium.” Tunnelling Underground Space Technol. 49 (1): 18–34. https://doi.org/10.1016/j.tust.2015.04.001.
Leca, E., and L. Dormieux. 1990. “Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material.” Géotechnique 40 (4): 581–606. https://doi.org/10.1680/geot.1990.40.4.581.
Li, T. Z., and X. L. Yang. 2019a. “Three-dimensional face stability of shallow-buried tunnels with tensile strength cutoff.” Comput. Geotech. 110: 82–93. https://doi.org/10.1016/j.compgeo.2019.02.014.
Li, W., and C. Zhang. 2020. “Face stability analysis for a shield tunnel in anisotropic sands.” Int. J. Geomech. 20 (5): 04020043. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001666.
Li, Z. W., and X. L. Yang. 2019b. “Active earth pressure for retaining structures in cohesive backfills with tensile strength cutoff.” Comput. Geotech. 110: 242–250. https://doi.org/10.1016/j.compgeo.2019.02.023.
Michalowski, R. 2013. “Stability assessment of slopes with cracks using limit analysis.” Can. Geotech. J. 50 (10): 1011–1021. https://doi.org/10.1139/cgj-2012-0448.
Michalowski, R. 2017. “Stability of intact slopes with tensile strength cutoff.” Géotechnique 67 (8): 720–727. https://doi.org/10.1680/jgeot.16.P.037.
Mollon, G., D. Dias, and A. Soubra. 2009. “Probabilistic analysis and design of circular tunnels against face stability.” Int. J. Geomech. 9 (6): 237–249. https://doi.org/10.1061/(ASCE)1532-3641(2009)9:6(237).
Mollon, G., D. Dias, and A. Soubra. 2010. “Face stability analysis of circular tunnels driven by a pressurized shield.” J. Geotech. Geoenviron. Eng. 136 (1): 215–229. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000194.
Mollon, G., D. Dias, and A. Soubra. 2011. “Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield.” Int. J. Numer. Anal. Methods Geomech. 35 (12): 1363–1388. https://doi.org/10.1002/nag.962.
Oreste, P. P., and D. Dias. 2012. “Stabilisation of the excavation face in shallow tunnels using fibreglass dowels.” Rock Mech. Rock Eng. 45 (4): 499–517. https://doi.org/10.1007/s00603-012-0234-1.
Pan, Q., and D. Dias. 2016. “Face stability analysis for a shield-driven tunnel in anisotropic and nonhomogeneous soils by the kinematical approach.” Int. J. Geomech. 16 (3): 04015076. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000569.
Pan, Q., and D. Dias. 2017. “Safety factor assessment of a tunnel face reinforced by horizontal dowels.” Eng. Struct. 142: 56–66. https://doi.org/10.1016/j.engstruct.2017.03.056.
Pan, Q., and D. Dias. 2018. “Three dimensional face stability of a tunnel in weak rock masses subjected to seepage forces.” Tunn. Undergr. Space Technol. 71: 555–566. https://doi.org/10.1016/j.tust.2017.11.003.
Park, D., and R. Michalowski. 2017. “Three-dimensional stability analysis of slopes in hard soil/soft rock with tensile strength cut-off.” Eng. Geol. 229: 73–84. https://doi.org/10.1016/j.enggeo.2017.09.018.
Paul, B. 1961. “A modification of the Coulomb-Mohr theory of fracture.” J. Appl. Mech. 28 (2): 259–268. https://doi.org/10.1115/1.3641665.
Perazzelli, P., T. Leone, and G. Anagnostou. 2014. “Tunnel face stability under seepage flow conditions.” Tunnelling Underground Space Technol. 43: 459–469. https://doi.org/10.1016/j.tust.2014.03.001.
Qian, Z., J. Zou, Q. Pan, and D. Dias. 2019. “Safety factor calculations of a tunnel face reinforced with umbrella pipes: A comparison analysis.” Eng. Struct. 199: 109639. https://doi.org/10.1016/j.engstruct.2019.109639.
Senent, S., G. Mollon, and R. Jimenez. 2013. “Tunnel face stability in heavily fractured rock masses that follow the Hoek-Brown failure criterion.” Int. J. Rock Mech. Min. Sci. 60: 440–451. https://doi.org/10.1016/j.ijrmms.2013.01.004.
Subrin, D., and H. Wong. 2002. “Stability of the front of a tunnel in a rubbing environment: A new 3D break mechanism.” C.R. Méc. 330 (7): 513–519. https://doi.org/10.1016/S1631-0721(02)01491-2.
Zhang, D., and B. Zhang. 2020. “Stability analysis of the pressurized 3D tunnel face in anisotropic and nonhomogeneous soils.” Int. J. Geomech. 20 (4): 04020018. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001635.
Zou, J., G. Chen, and Z. Qian. 2019. “Tunnel face stability in cohesion-frictional soils considering the soil arching effect by improved failure models.” Comput. Geotech. 106: 1–17. https://doi.org/10.1016/j.compgeo.2018.10.014.
Zou, J., and Z. Qian. 2018. “Face-stability analysis of tunnels excavated below groundwater considering coupled flow deformation.” Int. J. Geomech. 18 (8): 04018089. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001199.
Information & Authors
Information
Published In
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Nov 8, 2020
Accepted: Jul 9, 2021
Published online: Sep 15, 2021
Published in print: Nov 1, 2021
Discussion open until: Feb 15, 2022
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
Cited by
- Guang-Hui Chen, Jin-Feng Zou, Xing-Xing Wei, Feng-Qi Guo, Three-dimensional blow-out stability analysis of shield tunnel face in anisotropic and heterogeneous soils, Tunnelling and Underground Space Technology, 10.1016/j.tust.2022.104851, 131, (104851), (2023).
- Wenpo Wang, Ronggui Deng, Hongfeng Liu, Stability Analysis of 3D Tunnel Face of Shallow Rectangular Shield Tunnel, KSCE Journal of Civil Engineering, 10.1007/s12205-023-1511-0, 27, 3, (1368-1382), (2023).
- Zhihui Zhou, Tonghua Ling, Fu Huang, Min Zhang, The Face Stability Analysis of Shield Tunnels Subjected to Seepage Based on the Variational Principle, Sustainability, 10.3390/su142416538, 14, 24, (16538), (2022).
- Jun Liu, Qingsong Zhang, An Liu, Guanghui Chen, Stability Analysis of the Horseshoe Tunnel Face in Rock Masses, Materials, 10.3390/ma15124306, 15, 12, (4306), (2022).
- Guang-Hui Chen, Jin-Feng Zou, Yu-Ming Sheng, Jing-Yu Chen, Tao Yang, Three-Dimensional Seismic Bearing Capacity Assessment of Heterogeneous and Anisotropic Slopes, International Journal of Geomechanics, 10.1061/(ASCE)GM.1943-5622.0002493, 22, 9, (2022).