Phreatic Surface Calculation and Stability Analysis of Three-Dimensional Bank Slopes with Reservoir Drawdown
Publication: International Journal of Geomechanics
Volume 24, Issue 2
Abstract
Among all factors affecting the stability of soil slopes, the effects of seepage, and especially drawdown, have long been a topic of study. This paper proposed a novel method for predicting the phreatic surface of three-dimensional (3D) slopes. Based on the solved phreatic surface, the normal stress expression of the slip surface under seepage force was deduced. A strict overall analysis method that combines the seepage force to analyze the stability of the bank slopes with reservoir drawdown was proposed. The credibility of the proposed method was verified by calculating different conditions set by a classic slope model. Finally, the change rules of the phreatic surface and the safety evolution with reservoir drawdown of a practical slope in the Three Gorges reservoir area were studied. The results demonstrated that the safety factor of the slope first decreases and then increases with reservoir drawdown and the most unfavorable water level is at the lower 1/3–1/4 of the total height of the slope.
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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, specifically, the data and models that determine the safety factor of bank slopes in the Three Gorges Reservoir area with reservoir drawdown.
Acknowledgments
This study was supported by the National Natural Science Foundation of China (Grant No. 11972043).
References
Bishop, A. W. 1955. “The use of the slip circle in the stability analysis of slopes.” Géotechnique 5 (1): 7–17. https://doi.org/10.1680/geot.1955.5.1.7.
Boussinesq, J. 1904. “Recherches théoriques sur l’écoulement des nappes d’eau infiltrées dans le sol et sur débit de sources.” J. Math. Pures Appl. 10: 5–78.
Cai, F., and K. Ugai. 2004. “Numerical analysis of rainfall effects on slope stability.” Int. J. Geomech. 4 (2): 69–78. https://doi.org/10.1061/(asce)1532-3641(2004)4:2(69).
Chen, Z. Y., H. L. Mi, and X. G. Wang. 2001. “A three-dimensional limit equilibrium method for slope stability analysis.” Chin. J. Geotech. Eng. 23 (5): 526–529. https://doi.org/10.3321/j.issn:1000-4548.2001.05.001.
Deng, D.-p., and L. Li. 2019. “Limit equilibrium analysis of slope stability with coupling nonlinear strength criterion and double-strength reduction technique.” Int. J. Geomech. 19 (6): 04019052. https://doi.org/10.1061/(asce)gm.1943-5622.0001431.
Fredlund, D. G., and A. Q. Xing. 1994. “Equations for the soil–water characteristic curve.” Can. Geotech. J. 31 (4): 521–532. https://doi.org/10.1139/t94-061.
Guo, M. W., X. R. Ge, C. G. Li, and Q. Deng. 2010. “Three-dimensional vector sum method employed in slope and dam foundation stability analysis and its applications to practical engineering.” Chin. J. Rock Mech. Eng. 29 (1): 8–20.
Huang, X.-C., and X.-P. Zhou. 2020. “Probabilistic assessment for slope using the generalized Chebyshev inequalities.” Int. J. Geomech. 20 (4): 06020003. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001638.
Hungr, O., F. M. Salgado, and P. M. Byrne. 1990. “Evaluation of a three dimensional method of slope stability analysis.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 27: 303–686. https://doi.org/10.1016/0148-9062(90)93111-x.
Jiang, Y., and X. M. Wang. 2011. “Calculation of phreatic line in reservoir slope under drawdown conditions and its improvement.” Geotech. Invest. Surv. 7: 37–40.
Li, J., and Y. Wang. 1987. Groundwater dynamics, 155–156. Beijing: Geology Publishing House.
Liu, Y., W. Zhang, L. Zhang, Z. Zhu, J. Hu, and H. Wei. 2018. “Probabilistic stability analyses of undrained slopes by 3D random fields and finite element methods.” Geosci. Front. 9 (6): 1657–1664. https://doi.org/10.1016/j.gsf.2017.09.003.
Luo, W., J. Li, G. Tang, J. Chen, and C. Dai. 2021. “Upper-bound limit analysis for slope stability based on modified Mohr–Coulomb failure criterion with tensile cutoff.” Int. J. Geomech. 21 (10): 04021184. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002154.
Luo, Z. J., and Y. S. Feng. 2001. “Discuss the effect of rainfall on slope stability.” Guangdong Highway Commun. S1: 44–47.
Michalowski, R. L., and S. S. Nadukuru. 2013. “Three-dimensional limit analysis of slopes with pore pressure.” J. Geotech. Geoenviron. Eng. 139 (9): 1604–1610. https://doi.org/10.1061/(asce)gt.1943-5606.0000867.
Moregenstern, N. 1963. “Stability charts for earth slopes during rapid drawdown.” Géotechnique 13 (2): 121–131. https://doi.org/10.1680/geot.1963.13.2.121.
Pan, Q., J. Xu, and D. Dias. 2017. “Three-dimensional stability of a slope subjected to seepage forces.” Int. J. Geomech. 17 (8): 04017035. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000913.
Rao, P., L. Zhao, Q. Chen, and S. Nimbalkar. 2019. “Three-dimensional slope stability analysis incorporating coupled effects of pile reinforcement and reservoir drawdown.” Int. J. Geomech. 19 (4): 06019002. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001375.
Shen, J., Z. Shu, M. Cai, and S. Du. 2020. “A shear strength model for anisotropic blocky rock masses with persistent joints.” Int. J. Rock Mech. Min. Sci. 134 (2020): 104430. https://doi.org/10.1016/j.ijrmms.2020.104430.
Sun, G., S. Cheng, W. Jiang, and H. Zheng. 2016. “A global procedure for stability analysis of slopes based on the Morgenstern–Price assumption and its applications.” Comput. Geotech. 80: 97–106. https://doi.org/10.1016/j.compgeo.2016.06.014.
Wang, J., S. Lin, L. Luo, H. Zheng, G. H. Sun, and W. X. Long. 2022. “Cauchy problem of three-dimensional critical slip surface of slope under tension-shear failure mode.” Rock Soil Mech. 43 (9): 2634–2642. https://doi.org/10.16285/j.rsm.2021.1959.
Wang, W., W. Yuan, X.-c. Li, and B. Bai. 2016. “Evaluation approach of the slope stability based on deformation analysis.” Int. J. Geomech. 16 (2): 04015054. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000528.
Xing, Z. 1988. “Three-dimensional stability analysis of concave slopes in plan view.” J. Geotech. Eng. 114 (6): 658–671. https://doi.org/10.1061/(asce)0733-9410(1988)114:6(658).
Xue, Y. 1986. Theory on groundwater dynamics, 74–77. Beijing: Geology Publishing House.
Yang, K.-H., R. Uzuoka, J. N. Thuo, G.-L. Lin, and Y. Nakai. 2017. “Coupled hydro-mechanical analysis of two unstable unsaturated slopes subject to rainfall infiltration.” Eng. Geol. 216: 13–30. https://doi.org/10.1016/j.enggeo.2016.11.006.
Zhang, Y., G. Chen, G. Zhang, H. Pan, and J. He. 2016. “Numerical analysis of influence of water level variation on Guanyinping landslide stability.” J. Eng. Geol. 24 (4): 501–509. https://doi.org/10.13544/j.cnki.jeg.2016.04.003.
Zhang, Z. L., and X. L. Yang. 2023. “Unified solution of safety factors for three-dimensional compound slopes considering local and global instability.” Comput. Geotech. 155: 105227. https://doi.org/10.1016/j.compgeo.2022.105227.
Zheng, H. 2007. “A rigorous three-dimensional limit equilibrium method.” Chin. J. Rock Mech. Eng. 26 (8): 1529–1537. https://doi.org/10.3321/j.issn:1000-6915.2007.08.002.
Zheng, H. 2009. “Eigenvalue problem from the stability analysis of slopes.” J. Geotech. Geoenviron. Eng. 135 (5): 647–656. https://doi.org/10.1061/(asce)gt.1943-5606.0000071.
Zheng, H., and L. G. Tham. 2009. “Improved Bell’s method for the stability analysis of slopes.” Int. J. Numer. Anal. Methods Geomech. 33 (14): 1673–1689. https://doi.org/10.1002/nag.794.
Zheng, Y. R., W. M. Shi, and W. X. Kong. 2004. “Calculation of seepage forces and phreatic surface under drawdown conditions.” Chin. J. Rock Mech. Eng. 23 (18): 3208–3210. https://doi.org/10.3321/j.issn:1000-6915.2004.18.031.
Zhou, J., Q. Chen, and J. Wang. 2017. “Rigid block based lower bound limit analysis method for stability analysis of fractured rock mass considering rock bridge effects.” Comput. Geotech. 86: 173–180. https://doi.org/10.1016/j.compgeo.2017.01.016.
Zhou, J., and C. Qin. 2022. “Stability analysis of unsaturated soil slopes under reservoir drawdown and rainfall conditions: Steady and transient state analysis.” Comput. Geotech. 142: 104541. https://doi.org/10.1016/j.compgeo.2021.104541.
Zhou, X.-P., X. Wei, C. Liu, and H. Cheng. 2020. “Three-dimensional stability analysis of bank slopes with reservoir drawdown based on rigorous limit equilibrium method.” Int. J. Geomech. 20 (12): 04020229. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001877.
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© 2023 American Society of Civil Engineers.
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Received: Feb 15, 2023
Accepted: Aug 8, 2023
Published online: Dec 8, 2023
Published in print: Feb 1, 2024
Discussion open until: May 8, 2024
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