Technical Papers
Mar 27, 2024

An Improved Failure Model Considering the Arching Effect for Tunnel Face Stability in a Weak and Fractured Rock Mass

Publication: International Journal of Geomechanics
Volume 24, Issue 6

Abstract

Tunneling efforts that use shield machines often encounter weak and fractured rock formations, where the stability of the tunnel face is the principle safety control factor during tunnel construction operations. Within the framework of the limit analysis method, an improved model was proposed. The model consists of two failure modes, effectively addressing the shortcomings that arise from the incomplete contact interface between the traditional model and the tunnel face. Furthermore, the proposed model introduces the nonlinear Hoek–Brown criterion and improves the shape of the sliding failure surface within the cover layer to account for the arching effect. Subsequently, the proposed model was validated by comparison with numerical simulations and results in the literature. Further parameter analysis was conducted to investigate the influence that the Hoek–Brown parameters and tunnel depth have upon the critical support pressure and effectively identify the characteristics of failure mechanisms. The resulting data show that a reduction in the geological strength index (GSI), Hoek–Brown parameter (mi), or uniaxial compressive strength (σci) or an increase in the disturbance coefficient (D) leads to a nonlinear increase in the critical support pressure and an expansion of the failure zone of the tunnel face. Conversely, as the tunnel depth increases, the extent of the failure zone gradually expands, and the stability of the tunnel face exhibits a trend of initially decreasing and then increasing.

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Data Availability Statement

Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request. The specific items are the MATLAB computational codes. The paper contains all the data.

Acknowledgments

This work was supported by the Shandong Provincial Natural Science Foundation of China through Grant No. ZR2019MEE027.

References

Ahmed, M., and M. Iskander. 2012. “Evaluation of tunnel face stability by transparent soil models.” Tunnelling Underground Space Technol. 27 (1): 101–110. https://doi.org/10.1016/j.tust.2011.08.001.
Anagnostou, G. 2012. “The contribution of horizontal arching to tunnel face stability.” Geotechnik 35 (1): 34–44. https://doi.org/10.1002/gete.201100024.
Anagnostou, G., and P. Perazzelli. 2015. “Analysis method and design charts for bolt reinforcement of the tunnel face in cohesive-frictional soils.” Tunnelling Underground Space Technol. 47: 162–181. https://doi.org/10.1016/j.tust.2014.10.007.
Chambon, P., and J.-F. Corté. 1994. “Shallow tunnels in cohesionless soil: Stability of tunnel face.” J. Geotech. Eng. 120 (7): 1148–1165. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:7(1148).
Chen, R. P., L. J. Tang, D. S. Ling, and Y. M. Chen. 2011. “Face stability analysis of shallow shield tunnels in dry sandy ground using the discrete element method.” Comput. Geotech. 38 (2): 187–195. https://doi.org/10.1016/j.compgeo.2010.11.003.
Chen, R.-p., J. Li, L.-g. Kong, and L.-j. Tang. 2013. “Experimental study on face instability of shield tunnel in sand.” Tunnelling Underground Space Technol. 33: 12–21. https://doi.org/10.1016/j.tust.2012.08.001.
Han, K., C. Zhang, and D. Zhang. 2016. “Upper-bound solutions for the face stability of a shield tunnel in multilayered cohesive–frictional soils.” Comput. Geotech. 79: 1–9. https://doi.org/10.1016/j.compgeo.2016.05.018.
Hoek, E., C. Carranza-Torres, and B. Corkum. 2002. “Hoek–Brown failure criterion—2002 edition.” In Proc., 5th North American Rock Mechanics Symp. and the 17th Tunnelling Association of Canada Conf, 267–273. Toronto, ON: University of Toronto.
Horn, N. 1961. “Horizontal earth pressure on the vertical surfaces of the tunnel tubes.” [In German.] In Proc., National Conf. of the Hungarian Civil Engineering Industry, 7–16. Budapest, Hungary: Hungarian Civil Engineering Industry.
Huang, M., Y. Li, Z. Shi, and X. Lü. 2022. “Face stability analysis of shallow shield tunneling in layered ground under seepage flow.” Tunnelling Underground Space Technol. 119: 104201. https://doi.org/10.1016/j.tust.2021.104201.
Idinger, G., P. Aklik, W. Wu, and R. I. Borja. 2011. “Centrifuge model test on the face stability of shallow tunnel.” Acta Geotech. 6: 105–117. https://doi.org/10.1007/s11440-011-0139-2.
Khezri, N., H. Mohamad, and B. Fatahi. 2016. “Stability assessment of tunnel face in a layered soil using upper bound theorem of limit analysis.” Geomech. Eng. 11 (4): 471–492. https://doi.org/hdl.handle.net/10453/53606.
Li, P., K. Chen, F. Wang, and Z. Li. 2019a. “An upper-bound analytical model of blow-out for a shallow tunnel in sand considering the partial failure within the face.” Tunnelling Underground Space Technol. 91: 102989. https://doi.org/10.1016/j.tust.2019.05.019.
Li, T., and X. Yang. 2019. “3D rotational failure mechanism of tunnel face in weathered and saturated Hoek–Brown rock masses.” KSCE J. Civ. Eng. 23: 2723–2732. https://doi.org/10.1007/s12205-019-1048-4.
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, W., C. Zhang, W. Zhu, and D. Zhang. 2019b. “Upper-bound solutions for the face stability of a non-circular NATM tunnel in clays with a linearly increasing undrained shear strength with depth.” Comput. Geotech. 114: 103136. https://doi.org/10.1016/j.compgeo.2019.103136.
Ling, X., X. Kong, L. Tang, W. Tang, S. Cong, J. Zhang, and X. Zhao. 2021. “Face stability of the slurry shield–driven tunnel with an impermeable filter cake in saturated medium sand.” Arabian J. Geosci. 14: 1–11. https://doi.org/10.1007/s12517-020-06304-8.
Man, J., H. Huang, Z. Ai, and J. Chen. 2022. “Analytical model for tunnel face stability in longitudinally inclined layered rock masses with weak interlayer.” Comput. Geotech. 143: 104608. https://doi.org/10.1016/j.compgeo.2021.104608.
Mollon, G., D. Dias, and A.-H. 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.-H. 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.
Pan, Q., and D. Dias. 2017. “Upper-bound analysis on the face stability of a non-circular tunnel.” Tunnelling Underground Space Technol. 62: 96–102. https://doi.org/10.1016/j.tust.2016.11.010.
Pan, Q., and D. Dias. 2018. “Three dimensional face stability of a tunnel in weak rock masses subjected to seepage forces.” Tunnelling Underground Space Technol. 71: 555–566. https://doi.org/10.1016/j.tust.2017.11.003.
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.
Soranzo, E., R. Tamagnini, and W. Wu. 2015. “Face stability of shallow tunnels in partially saturated soil: Centrifuge testing and numerical analysis.” Géotechnique 65 (6): 454–467. https://doi.org/10.1680/geot.14.P.123.
Soubra, A.-H. 1999. “Upper-bound solutions for bearing capacity of foundations.” J. Geotech. Geoenviron. Eng. 125 (1): 59–68. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:1(59).
Sousa, R. L., and H. H. Einstein. 2021. “Lessons from accidents during tunnel construction.” Tunnelling Underground Space Technol. 113: 103916. https://doi.org/10.1016/j.tust.2021.103916.
Sun, J., and J. Liu. 2014. “Visualization of tunnelling-induced ground movement in transparent sand.” Tunnelling Underground Space Technol. 40: 236–240. https://doi.org/10.1016/j.tust.2013.10.009.
Takano, D., J. Otani, H. Nagatani, and T. Mukunoki. 2006. “Application of x-ray CT on boundary value problems in geotechnical engineering: Research on tunnel face failure.” In Proc., GeoCongress 2006: Geotechnical Engineering in the Information Technology Age, edited by D. J. DeGroot, J. T. DeJong, D. Frost, and L. G. Baise, 1–6. Reston, VA: ASCE.
Tu, S., W. Li, C. Zhang, and W. Chen. 2023. “Effect of inclined layered soils on face stability in shield tunneling based on limit analysis.” Tunnelling Underground Space Technol. 131: 104773. https://doi.org/10.1016/j.tust.2022.104773.
Wang, L., K. Han, T. Xie, and J. Luo. 2019. “Calculation of limit support pressure for EPB shield tunnel face in water-rich sand.” Symmetry 11 (9): 1102. https://doi.org/10.3390/sym11091102.
Xiang, Y., H. Liu, W. Zhang, J. Chu, D. Zhou, and Y. Xiao. 2018. “Application of transparent soil model test and DEM simulation in study of tunnel failure mechanism.” Tunnelling Underground Space Technol. 74: 178–184. https://doi.org/10.1016/j.tust.2018.01.020.
Yin, Z.-Y., P. Wang, and F. Zhang. 2020. “Effect of particle shape on the progressive failure of shield tunnel face in granular soils by coupled FDM–DEM method.” Tunnelling Underground Space Technol. 100: 103394. https://doi.org/10.1016/j.tust.2020.103394.
Zhang, C., W. Li, W. Zhu, and Z. Tan. 2020a. “Face stability analysis of a shallow horseshoe-shaped shield tunnel in clay with a linearly increasing shear strength with depth.” Tunnelling Underground Space Technol. 97: 103291. https://doi.org/10.1016/j.tust.2020.103291.
Zhang, C., K. Han, and D. Zhang. 2015. “Face stability analysis of shallow circular tunnels in cohesive–frictional soils.” Tunn. Undergr. Space Technol. 50: 345–357. https://doi.org/10.1016/j.tust.2015.08.007.
Zhang, F., Y. F. Gao, Y. X. Wu, and N. Zhang. 2018. “Upper-bound solutions for face stability of circular tunnels in undrained clays.” Géotechnique 68 (1): 76–85. https://doi.org/10.1680/jgeot.16.T.028.
Zhang, J., L. Zhang, W. Wang, D. Zhang, and B. Zhang. 2020b. “Probabilistic analysis of three-dimensional tunnel face stability in soft rock masses using Hoek–Brown failure criterion.” Int. J. Numer. Anal. Methods Geomech. 44 (11): 1601–1616. https://doi.org/10.1002/nag.3085.
Zhang, X., M. Wang, Z. Wang, J. Li, J. Tong, and D. Liu. 2020c. “A limit equilibrium model for the reinforced face stability analysis of a shallow tunnel in cohesive-frictional soils.” Tunnelling Underground Space Technol. 105: 103562. https://doi.org/10.1016/j.tust.2020.103562.
Zhang, Z., W. Xu, W. Nie, and L. Deng. 2021. “DEM and theoretical analyses of the face stability of shallow shield cross-river tunnels in silty fine sand.” Comput. Geotech. 130: 103905. https://doi.org/10.1016/j.compgeo.2020.103905.
Zhang, Z. X., C. Liu, and X. Huang. 2017. “Numerical analysis of volume loss caused by tunnel face instability in soft soils.” J. Geotech. Eng. 76: 1–19. https://doi.org/10.1007/s12665-016-6304-z.
Zhou, Y., Y. Zhu, S. Wang, H. Wang, and Z. Wang. 2019. “Rotational failure mechanism for face stability of circular shield tunnels in frictional soils.” Adv. Civ. Eng. 2019: 1–14. https://doi.org/10.1155/2019/7167802.
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.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 24Issue 6June 2024

History

Received: Mar 23, 2023
Accepted: Dec 12, 2023
Published online: Mar 27, 2024
Published in print: Jun 1, 2024
Discussion open until: Aug 27, 2024

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College of Civil Engineering and Architecture, Shandong Univ. of Science and Technology, Qingdao, Shandong 266590, China; Shandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation, Shandong Univ. of Science and Technology, Qingdao, Shandong 266590, China. Email: [email protected]
College of Civil Engineering and Architecture, Shandong Univ. of Science and Technology, Qingdao, Shandong 266590, China; Shandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation, Shandong Univ. of Science and Technology, Qingdao, Shandong 266590, China (corresponding author). ORCID: https://orcid.org/0009-0006-6672-9883. Email: [email protected]
College of Civil Engineering and Architecture, Shandong Univ. of Science and Technology, Qingdao, Shandong 266590, China. Email: [email protected]
Mingkai Zhao [email protected]
College of Civil Engineering and Architecture, Shandong Univ. of Science and Technology, Qingdao, Shandong 266590, China. Email: [email protected]

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