Research on Reservoir Landslide Thrust Based on Improved Morgenstern-Price Method

Abstract

The curve of landslide thrust plays a key role in landslide design. The commonly used transfer coefficient method (TCM) and Morgenstern-Price method (MPM) are analyzed. TCM does not take into account the moment balance between slices. Although MPM considers the moment balance, the calculation is complex, and it does not consider that the force between slices may be less than zero at the back edge of the landslide. The rationality and feasibility of the improved MPM are verified by calculating the landslide stability coefficient and landslide thrust at different reservoir water levels. This paper studies the law of landslide thrust when the reservoir water level changes, and discusses the determination of design thrust, to provide a certain theoretical basis for the design of reservoir landslides.

Keywords

reservoir / transfer coefficient method / Morgenstern-Price / landslide thrust / design thrust / landslides

References

[] Bi R N, Ehret D, Xiang W, et al.. Landslide Reliability Analysis Based on Transfer Coefficient Method: A Case Study from Three Gorges Reservoir. Journal of Earth Science, 2012, 23(2): 187-198,

[] Bishop A W. The Use of the Slip Circle in the Stability Analysis of Slopes. Géotechnique, 1955, 5(1): 7-17,

[] Chen C F, Xiao Z Y, Zhang G B. Time-Variant Reliability Analysis of Three-Dimensional Slopes Based on Support Vector Machine Method. Journal of Central South University of Technology, 2011, 18(6): 2108-2114,

[] Chen Z Y, Morgenstern N R. Extensions to the Generalized Method of Slices for Stability Analysis. Canadian Geotechnical Journal, 1983, 20(1): 104-119,

[] Cheng Y M, Yip C J. Three-Dimensional Asymmetrical Slope Stability Analysis Extension of Bishop’s, Janbu’s, and Morgenstern – Price’s Techniques. Journal of Geotechnical and Geoenvironmental Engineering, 2007, 133(12): 1544-1555,

[] Deng D P, Lu K, Wen S S, et al.. The Expanded LE Morgenstern-Price Method for Slope Stability Analysis Based on a Force-Displacement Coupled Mode. Geomechanics and Engineering, 2020, 23(4): 313-325

[] Fellenius W. Calculation of the Stability of Earth Dams. Engineering, Environmental Science, 1936, 4: 445-463

[] Gandomi A H, Kashani A R, Mousavi M, et al.. Slope Stability Analyzing Using Recent Swarm Intelligence Techniques. International Journal for Numerical and Analytical Methods in Geomechanics, 2015, 39(3): 295-309,

[] Gandomi A H, Kashani A R, Mousavi M, et al.. Slope Stability Analysis Using Evolutionary Optimization Techniques. International Journal for Numerical and Analytical Methods in Geomechanics, 2017, 41(2): 251-264,

[] Gao W. Slope Stability Analysis Based on Immunised Evolutionary Programming. Environmental Earth Sciences, 2015, 74(4): 3357-3369,

[] Guo M W, Liu S J, Wang S L, et al.. Determination of Residual Thrust Force of Landslide Using Vector Sum Method. Journal of Engineering Mechanics, 2020, 146(7): 04020063,

[] Hu X L, Tang H M, Li C D, et al.. Stability of Huangtupo Riverside Slumping Mass II# under Water Level Fluctuation of Three Gorges Reservoir. Journal of Earth Science, 2012, 23(3): 326-334,

[] Kahatadeniya K S, Nanakorn P, Neaupane K M. Determination of the Critical Failure Surface for Slope Stability Analysis Using Ant Colony Optimization. Engineering Geology, 2009, 108(1/2): 133-141,

[] Kashani A R, Gandomi A H, Mousavi M. Imperialistic Competitive Algorithm: A Metaheuristic Algorithm for Locating the Critical Slip Surface in 2-Dimensional Soil Slopes. Geoscience Frontiers, 2016, 7(1): 83-89,

[] Khajehzadeh M, Taha M R, El-Shafie A, et al.. Locating the General Failure Surface of Earth Slope Using Particle Swarm Optimisation. Civil Engineering and Environmental Systems, 2012, 29(1): 41-57

[] Khajehzadeh M, Taha M R, El-Shafie A, et al.. A Modified Gravitational Search Algorithm for Slope Stability Analysis. Engineering Applications of Artificial Intelligence, 2012, 25(8): 1589-1597,

[] Khajehzadeh M, Taha M R, El-Shafie A. Reliability Analysis of Earth Slopes Using Hybrid Chaotic Particle Swarm Optimization. Journal of Central South University, 2011, 18(5): 1626-1637,

[] Li S H, Wu L Z, Luo X H. A Novel Method for Locating the Critical Slip Surface of a Soil Slope. Engineering Applications of Artificial Intelligence, 2020, 94: 103733,

[] Morgenstern N R, Price V E. The Analysis of the Stability of General Slip Surfaces. Géotechnique, 1965, 15(1): 79-93,

[] Morgenstern N R, Price V E. A Numerical Method for Solving the Equations of Stability of General Slip Surfaces. The Computer Journal, 1967, 9(4): 388-393,

[] GB 50330-2013. . Technical Code for Building Slope Engineering, 2013 Beijing China Architecture and Building Press (in Chinese)

[] Spencer E. A Method of Analysis of the Stability of Embankments Assuming Parallel Inter-Slice Forces. Géotechnique, 1967, 17(1): 11-26,

[] Stolle D, Guo P J. Limit Equilibrium Slope Stability Analysis Using Rigid Finite Elements. Canadian Geotechnical Journal, 2008, 45(5): 653-662,

[] Sun G H, Cheng S G, Jiang W, et al.. A Global Procedure for Stability Analysis of Slopes Based on the Morgenstern-Price Assumption and Its Applications. Computers and Geotechnics, 2016, 80: 97-106,

[] Sun G H, Huang Y Y, Li C G, et al.. Formation Mechanism, Deformation Characteristics and Stability Analysis of Wujiang Landslide near Centianhe Reservoir Dam. Engineering Geology, 2016, 211: 27-38,

[] Zhang T T, Yan E C, Cheng J T, et al.. Mechanism of Reservoir Water in the Deformation of Hefeng Landslide. Journal of Earth Science, 2010, 21(6): 870-875,

[] Zhang Z H, Liu W, Zhang Y B, et al.. Towards on Slope-Cutting Scheme Optimization for Shiliushubao Landslide Exposed to Reservoir Water Level Fluctuations. Arabian Journal for Science and Engineering, 2021, 46(11): 10505-10517,

[] Zheng H. A Three-Dimensional Rigorous Method for Stability Analysis of Landslides. Engineering Geology, 2012, 145/146: 30-40,

[] Zhou C M, Shao W, van Westen C J. Comparing Two Methods to Estimate Lateral Force Acting on Stabilizing Piles for a Landslide in the Three Gorges Reservoir, China. Engineering Geology, 2014, 173: 41-53,

[] Zhu D Y, Lee C F. Explicit Limit Equilibrium Solution for Slope Stability. International Journal for Numerical and Analytical Methods in Geomechanics, 2002, 26(15): 1573-1590,

[] Zhu D Y, Lee C F, Qian Q H, et al.. A New Procedure for Computing the Factor of Safety Using the Morgenstern-Price Method. Canadian Geotechnical Journal, 2001, 38(4): 882-888,

[] Zhu D Y, Lee C F, Qian Q H, et al.. A Concise Algorithm for Computing the Factor of Safety Using the Morgenstern-Price Method. Canadian Geotechnical Journal, 2005, 42(1): 272-278,

[] Zolfaghari A R, Heath A C, McCombie P F. Simple Genetic Algorithm Search for Critical Non-Circular Failure Surface in Slope Stability Analysis. Computers and Geotechnics, 2005, 32(3): 139-152,