Technical Papers
Jul 31, 2024

Three-Dimensional Active and Passive Seismic Stability Analysis of Shallow Shield Tunnel Faces

Publication: International Journal of Geomechanics
Volume 24, Issue 10

Abstract

Comprehensive assessment of the active/passive seismic stability of shallow tunnel faces is an urgent and complex task. This work establishes a promising three-dimensional (3D) approach using upper-bound limit analysis to evaluate the active and passive seismic stability of shallow shield tunnel faces. The outcrop failure model and inside failure model are provided for active failure analysis. To capture the spatiotemporal variations of seismic loading, the pseudodynamic approach is employed to assess the limit active and passive support pressures. Comparisons with published studies and numerical simulations demonstrate that the proposed 3D approach greatly improves existing 2D results for limit active and passive support pressures. A detailed investigation is then conducted to analyze the effects of pseudodynamic parameters, surface surcharge, and buried depth on face stability of shallow tunnels. Finally, the proposed approach is further tested by conducting the seismic face stability analysis of Changsha Metro 2 tunnel based on actual seismic response. The results indicate that the surface surcharge has a greater influence on limit passive support pressure than limit active support pressure, and increasing of buried depth leads to a larger safety range of limit support pressure.

Practical Applications

Active and passive face failure of shallow tunnels under earthquakes can endanger the safety of tunnels and ground surfaces, leading to severe casualties and property losses. Determination of limit support pressures under seismic forces is a critical task in shield tunnel construction. This work establishes an approach to assess 3D active and passive seismic stability of shallow shield tunnel faces. Time–space variations of seismic loading are incorporated to accurately determine limit active and passive support pressures using pseudodynamic approach. Effects of seismic parameters, surface surcharge, and buried depth on face stability of shallow tunnels are then presented and discussed. Finally, the proposed approach is tested by conducting the seismic face stability analysis of Changsha Metro 2 tunnel based on actual seismic response. The results indicate that surface surcharge has a greater influence on limit passive support pressure compared with limit active support pressure, and increasing buried depth leads to a larger safety range of limit support pressure. The proposed approach determines a safety range of limit support pressures more accurately for shallow shield tunnels during earthquakes.

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Data Availability Statement

All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

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

Annapareddy, V. S. R., and A. Pain. 2019. “Effect of strain-dependent dynamic properties of backfill and foundation soil on the external stability of geosynthetic reinforced waterfront retaining structure subjected to harmonic motion.” Appl. Ocean Res. 91: 101899. https://doi.org/10.1016/j.apor.2019.101899.
Bezuijen, A., and H. E. Brassinga. 2020. “Blow-out pressures measured in a centrifuge model and in the field.” In Modern tunneling science and T, edited by T. Adachi, 619–624. London: CRC Press.
Chehade, H. A., D. Dias, M. Sadek, O. Jenck, and F. H. Chehade. 2022. “Seismic internal stability of saturated reinforced soil retaining walls using the upper bound theorem of limit analysis.” Soil Dyn. Earthquake Eng. 155: 107180. https://doi.org/10.1016/j.soildyn.2022.107180.
Chen, G.-H., J.-F. Zou, X.-X. Wei, and F.-Q. Guo. 2023. “Three-dimensional blow-out stability analysis of shield tunnel face in anisotropic and heterogeneous soils.” Tunnelling Underground Space Technol. 131: 104851. https://doi.org/10.1016/j.tust.2022.104851.
Chen, G.-H., J.-F. Zou, X.-Y. Xiang, Q.-J. Pan, and Z.-H. Qian. 2021. “Stability assessments of reinforced tunnel face using improved homogenization approach.” Int. J. Geomech. 21 (10): 04021183. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002153.
Cheng, H., J. Chen, R. Chen, J. Huang, and J. Li. 2019. “Three-dimensional analysis of tunnel face stability in spatially variable soils.” Comput. Geotech. 111: 76–88. https://doi.org/10.1016/j.compgeo.2019.03.005.
Di, Q., P. Li, M. Zhang, C. Guo, F. Wang, and Y. Wei. 2022. “Evaluation of tunnel face stability subjected to seismic load based on the non-associated flow rule.” KSCE J. Civ. Eng. 26 (5): 2478–2489. https://doi.org/10.1007/s12205-022-1561-8.
GB (Guobiao Standards). 2016. Chinese code for seismic design of building. GB 50011-2010. Beijing: GB.
Guang-Hui, C., Z. Jin-Feng, and Q. Ze-Hang. 2022. “Analysis of tunnel face stability with non-linear failure criterion under the pore water pressure.” Eur. J. Environ. Civ. Eng. 26 (7): 2950–2962. https://doi.org/10.1080/19648189.2020.1777905.
Hou, C., Z. Zhang, and X. Yang. 2022. “Three-dimensional tunnel face stability considering the steady-state seepage in saturated and unsaturated regions with changing water levels.” Comput. Geotech. 146: 104741. https://doi.org/10.1016/j.compgeo.2022.104741.
Hou, C.-T., and X.-L. Yang. 2020. “Seismic stability of 3D tunnel face considering tensile strength cut-off.” KSCE J. Civ. Eng. 24: 2232–2243. https://doi.org/10.1007/s12205-020-1804-5.
Huang, Q., J. F. Zou, and Z. H. Qian. 2020. “Seismic stability analysis of tunnel face in purely cohesive soil by a pseudo-dynamic approach.” Geomech. Eng. 23 (1): 1–13.
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: 18–34. https://doi.org/10.1016/j.tust.2015.04.001.
Izadi, A., M. Nazemi Sabet Soumehsaraei, R. Jamshidi Chenari, S. Moallemi, and S. Javankhoshdel. 2021. “Spectral bearing capacity analysis of strip footings under pseudo-dynamic excitation.” Geomech. Geoeng. 16 (5): 359–378. https://doi.org/10.1080/17486025.2019.1670873.
Li, D., L. Zhao, X. Cheng, S. Zuo, and K. Jiao. 2020. “Upper-bound limit analysis of passive failure of a 3D shallow tunnel face under the bidirectional inclined ground surfaces.” Comput. Geotech. 118: 103310. https://doi.org/10.1016/j.compgeo.2019.103310.
Li, P., Y. Wei, M. Zhang, Q. Huang, and F. Wang. 2022. “Influence of non-associated flow rule on passive face instability for shallow shield tunnels.” Tunnelling Underground Space Technol. 119: 104202. https://doi.org/10.1016/j.tust.2021.104202.
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, Y., F. Emeriault, R. Kastner, and Z. X. Zhang. 2009. “Stability analysis of large slurry shield-driven tunnel in soft clay.” Tunnelling Underground Space Technol. 24 (4): 472–481. https://doi.org/10.1016/j.tust.2008.10.007.
Li, Y., C. Liu, and L. Wang. 2023. “Kinematical analysis of 3D seismic stability of slopes in unsaturated and inhomogeneous soils using a pseudodynamic method.” Int. J. Geomech. 23 (9): 04023142. https://doi.org/10.1061/IJGNAI.GMENG-8223.
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.
Nadgouda, K., and D. Choudhury. 2019. “Seismic bearing capacity factor Nγe for shallow strip footing using modified pseudo-dynamic method.” In Proc., 8th Int. Conf. on Case Histories in Geotechnical Engineering, edited by C. L. Meehan, S. Kumar, M. A. Pando, and J. T. Coe, 12–21. Reston, VA: ASCE.
Pan, Q., and D. Dias. 2018. “Three-dimensional static and seismic stability analysis of a tunnel face driven in weak rock masses.” Int. J. Geomech. 18 (6): 04018055. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001174.
Prakash, S. 1981. Soil dynamics. New York: McGraw-Hill Companies.
Qian, Z.-H., J.-F. Zou, and Q.-J. Pan. 2023. “Blowout analysis of shallow elliptical tunnel faces in frictional-cohesive soils.” Tunnelling Underground Space Technol. 136: 105070. https://doi.org/10.1016/j.tust.2023.105070.
Qin, C., and S. C. Chian. 2020. “Discretization-based kinematic analysis method to seismic stability of geosynthetic-reinforced slopes involving differing earthquake approaches.” Int. J. Geomech. 20 (7): 06020010. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001660.
Rajesh, B. G., and D. Choudhury. 2017. “Generalized seismic active thrust on a retaining wall with submerged backfill using a modified pseudodynamic method.” Int. J. Geomech. 17 (3): 06016023. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000750.
Rajesh, B. G., and D. Choudhury. 2018. “Seismic stability of seawalls under earthquake and tsunami forces using a modified pseudodynamic method.” Nat. Hazard. Rev. 19 (3): 04018005. https://doi.org/10.1061/(ASCE)NH.1527-6996.0000289.
Rajesh, B. G., and D. Choudhury. 2019. “Computation of sliding displacements of seawalls under earthquake conditions.” Natural Hazards 96 (1): 97–119. https://doi.org/10.1007/s11069-018-3531-5.
Saada, Z., S. Maghous, and D. Garnier. 2013. “Pseudo-static analysis of tunnel face stability using the generalized Hoek–Brown strength criterion.” Int. J. Numer. Anal. Methods Geomech. 37 (18): 3194–3212. https://doi.org/10.1002/nag.2185.
Steedman, R. S., and X. Zeng. 1990. “The influence of phase on the calculation of pseudo-static earth pressure on a retaining wall.” Géotechnique 40 (1): 103–112. https://doi.org/10.1680/geot.1990.40.1.103.
Subrin, D., and H. Wong. 2002. “Tunnel face stability in frictional material: A new 3D failure mechanism.” C.R. Mec. 330 (7): 513–519. https://doi.org/10.1016/S1631-0721(02)01491-2.
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, 1–6. Reston, VA: ASCE.
Vermeer, P. A., N. Ruse, and T. Marcher. 2002. “Tunnel heading stability in drained ground.” Felsbau 20 (6): 8–18.
Wong, K. S., C. W. W. Ng, Y. M. Chen, and X. C. Bian. 2012. “Centrifuge and numerical investigation of passive failure of tunnel face in sand.” Tunnelling Underground Space Technol. 28: 297–303. https://doi.org/10.1016/j.tust.2011.12.004.
Xu, S., J. Liu, and X.-L. Yang. 2023. “Pseudo-dynamic analysis of a 3D tunnel face in inclined weak strata.” Underground Space 12: 156–166. https://doi.org/10.1016/j.undsp.2023.03.002.
Zhang, B., J. Jiang, D. B. Zhang, and Z. Liu. 2021a. “Upper bound solution of collapse pressure and permanent displacement of 3D tunnel faces using the pseudo-dynamic method and the kinematic approach.” Geomech. Eng. 25 (6): 521–533.
Zhang, C., W. Li, W. Zhu, and Z. Tan. 2020. “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, D., W. Sun, C. Wang, and B. Yu. 2021b. “Reliability analysis of seismic stability of shield tunnel face under multiple correlated failure modes.” KSCE J. Civ. Eng. 25: 3172–3185. https://doi.org/10.1007/s12205-021-2174-3.
Zhang, J., F. Yang, Z. Liu, and J. S. Yang. 2014. “Limit analysis of failure modes of rigid cone extrusion on excavation face of shallow shield tunnel.” Chin. J. Geotech. Eng. 36 (07): 1344–1349.
Zhang, J.-h., P. Xu, W.-c. Sun, and B. Li. 2022. “Seismic reliability analysis of shield tunnel faces under multiple failure modes by pseudo-dynamic method and response surface method.” J. Cent. South Univ. 29 (5): 1553–1564. https://doi.org/10.1007/s11771-022-5067-9.
Zhang, J.-h., and B. Zhang. 2019. “Reliability analysis for seismic stability of tunnel faces in soft rock masses based on a 3D stochastic collapse model.” J. Cent. South Univ. 26 (7): 1706–1718. https://doi.org/10.1007/s11771-019-4127-2.
Zhong, J.-H., and X.-L. Yang. 2020a. “Kinematic stability of tunnel face in non-uniform soils.” KSCE J. Civ. Eng. 24: 670–681. https://doi.org/10.1007/s12205-019-0996-z.
Zhong, J.-H., and X.-L. Yang. 2020b. “Kinematic analysis of the three-dimensional stability for tunnel faces by pseudodynamic approach.” Comput. Geotech. 128: 103802. https://doi.org/10.1016/j.compgeo.2020.103802.
Zhou, J.-w., P. Cui, and X.-g. Yang. 2013. “Dynamic process analysis for the initiation and movement of the Donghekou landslide-debris flow triggered by the Wenchuan earthquake.” J. Asian Earth Sci. 76: 70–84. https://doi.org/10.1016/j.jseaes.2013.08.007.
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.-F., and Z.-Z. Peng. 2023. “Stability analyses of shallow rectangular tunnels in anisotropic and nonhomogeneous soils using a kinematic approach.” Int. J. Geomech. 24: 04024127. https://doi.org/10.1061/IJGNAI.GMENG-8959.
Zou, J.-f., and Z.-h. 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.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 24Issue 10October 2024

History

Received: Sep 22, 2023
Accepted: Apr 22, 2024
Published online: Jul 31, 2024
Published in print: Oct 1, 2024
Discussion open until: Dec 31, 2024

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Jin-Feng Zou [email protected]
Professor, School of Civil Engineering, Central South Univ., Changsha, Hunan 410075, PR China. Email: [email protected]
Master’s Student, School of Civil Engineering, Central South Univ., Changsha, Hunan 410075, PR China. ORCID: https://orcid.org/0000-0001-6919-1819. Email: [email protected]
Guang-Hui Chen [email protected]
Lecturer, School of Civil Engineering, Zhengzhou Univ., Zhengzhou, Henan 450001, PR China (corresponding author). Email: [email protected]

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