Technical Papers
May 27, 2020

Optimization of the Critical Slip Surface of Three-Dimensional Slope by Using an Improved Genetic Algorithm

Publication: International Journal of Geomechanics
Volume 20, Issue 8

Abstract

An improved genetic algorithm is proposed to optimize the potential sliding surface of slopes. Compared with a conventional genetic algorithm, the genetic recombination between the previous generation and the newly generated population around the local optimal individual of the previous generation is performed in the improved genetic algorithm, while the genetic recombination between the previous generations is performed in the conventional genetic algorithm. The improved genetic algorithm has the advantage of faster convergence than the conventional genetic algorithm. Moreover, the rigorous limit equilibrium method is applied to define the safety factor of slopes. Two examples are illustrated to prove the efficiency of the improved genetic algorithm.

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Acknowledgments

The work is supported by the National Natural Science Foundation of China (Nos. 51909087, 51679017), Research Fund of Hunan University of Science and Technology (No. E51975), Open Fund of National Engineering Laboratory of Highway Maintenance Technology (Changsha University of Science & Technology, kfj190107) and Scientific Research Projects of Hunan Education Department (18K064).

References

Bai, T., X. D. Hu, and F. Gu. 2019. “Practice of searching a noncircular critical slip surface in a slope with soil variability.” Int. J. Geomech. 19 (3): 04018199. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001350.
Bai, T., T. Qiu, X. M. Huang, and C. Li. 2014. “Locating global critical slip surface using the Morgenstern-Price method and optimization technique.” Int. J. Geomech. 14 (2): 319–325. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000312.
Baker, R. 1980. “Determination of the critical slip surface in slope stability computations.” Int. J. Numer. Anal. Methods Geomech. 4 (4): 333–359. https://doi.org/10.1002/nag.1610040405.
Chen, W., M. Panahi, and H. R. Pourghasemi. 2017. “Performance evaluation of GIS-based new ensemble data mining techniques of adaptive neuro-fuzzy inference system (ANFIS) with genetic algorithm (GA), differential evolution (DE), and particle swarm optimization (PSO) for landslide spatial modeling.” Catena 157: 310–324. https://doi.org/10.1016/j.catena.2017.05.034.
Cheng, Y. M., L. Li, and S. C. Chi. 2007. “Performance studies on six heuristic global optimization methods in the location of critical slip surface.” Comput. Geotech. 34 (6): 462–484. https://doi.org/10.1016/j.compgeo.2007.01.004.
Dai, Z. H., and P. S. Shen. 2002. “Numerical solution of simplified Bishop method for stability analysis of soil slopes.” [In Chinese.] Rock Soil Mech. 23 (6): 760–764.
Gao, W. 2014. “Forecasting of landslide disasters based on bionics algorithm (Part 1: Critical slip surface searching).” Comput. Geotech. 61: 370–377. https://doi.org/10.1016/j.compgeo.2014.06.007.
Gao, W. 2016. “Inversion of critical slip surface parameters for a landslide disaster using the bionics algorithm.” Int. J. Geomech. 16 (5): 06016001. https://doi.org/10.1061/(ASCE)GM. 1943-5622.0000556.
Gao, X. C., H. L. Liu, W. G. Zhang, W. Wang, and Z. Y. Wang. 2019. “Influences of reservoir water level drawdown on slope stability and reliability analysis.” Georisk 13 (2): 145–153. https://doi.org/10.1080/17499518.2018.1516293.
Gong, W., L. Wang, S. Khoshnevisan, C. H. Juang, H. Huang, and J. Zhang. 2015. “Robust geotechnical design of earth slopes using fuzzy sets.” J. Geotech. Geoenviron. Eng. 141 (1): 04014084. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001196.
Hajiazizi, M., and H. Tavana. 2013. “Determining three-dimensional non-spherical critical slip surface in earth slopes using an optimization method.” Eng. Geol. 153: 114–124. https://doi.org/10.1016/j.enggeo.2012.11.014.
Holland, J. H. 1975. Adaptation in natural and artificial systems. Cambridge, MA: MIT Press.
Kashani, A. R., A. H. Gandomi, and M. Mousavi. 2016. “Imperialistic competitive algorithm: A metaheuristic algorithm for locating the critical slip surface in 2-Dimensional soil slopes.” Geosci. Front. 7 (1): 83–89. https://doi.org/10.1016/j.gsf.2014.11.005.
Kim, J. Y., and S. R. Lee. 1997. “An improved search strategy for the critical slip surface using finite element stress fields.” Comput. Geotech. 21 (4): 295–313. https://doi.org/10.1016/S0266-352X(97)00027-X.
Li, L., S. C. Chi, Y. M. Zheng. 2008. “Three-dimensional slope stability analysis based on ellipsoidal sliding body and simplified JANBU method.” Rock Soil Mech. 29 (9): 2439–2445. https://doi.org/10.16285/j.rsm.2008.09.033.
Li, L., and X. S. Chu. 2012. “The location of critical reliability slip surface in soil slope stability analysis.” Procedia Earth Planet. Sci. 5: 146–149. https://doi.org/10.1016/j.proeps.2012.01.025.
McCombie, P, and P. Wilkinson. 2002. “The use of the simple genetic algorithm in finding the critical factor of safety in slope stability analysis.” Comput. Geotech. 29 (8): 699–714. https://doi.org/10.1016/S0266-352X(02)00027-7.
Qian, J. H., and Z. Z. Yin. 1996. Principle and calculation of geotechnical engineering. [In Chinese.] Beijing: China Water & Power Press.
Ruvin, W. D., and G. You. 2016. “Optimization of the catch bench design using a genetic algorithm.” Int. J. Min. Sci. Technol. 26 (6): 1011–1016. https://doi.org/10.1016/j.ijmst.2016.09.008.
Sengupta, A., and A. Upadhyay. 2009. “Locating the critical failure surface in a slope stability analysis by genetic algorithm.” Appl. Soft Comput. 9 (1): 387–392. https://doi.org/10.1016/j.asoc.2008.04.015.
Tauviqirrahman, M., R. Ismail, J. Jamari, and D. J. Schipper. 2013. “Optimization of the complex slip surface and its effect on the hydrodynamic performance of two-dimensional lubricated contacts.” Comput. Fluids 79: 27–43. https://doi.org/10.1016/j.compfluid.2013.02.021.
Thompson, R. J. 1994. “The location of critical slip surfaces in slope-stability problems.” J. S. Afr. Inst. Min. Metall. 93 (4): 85–95.
Tun, Y. W., D. M. Pedroso, A. Scheuermann, and D. J. Williams. 2016. “Probabilistic reliability analysis of multiple slopes with genetic algorithms.” Comput. Geotech. 77: 68–76. https://doi.org/10.1016/j.compgeo.2016.04.006.
Wang, J. F. 1998. “Comparisons of limit analysis solutions and random search solutions on slope critical slip surface.” Commun. Nonlinear Sci. Numer. Simul. 3 (2): 66–71. https://doi.org/10.1016/S1007-5704(98)90064-8.
Xiao, J., W. Gong, J. R. Martin, II, M. Shen, and Z. Luo. 2016. “Probabilistic seismic stability analysis of slope at a given site in a specified exposure time.” Eng. Geol. 212: 53–62. https://doi.org/10.1016/j.enggeo.2016.08.001.
Xiao, Z. W., Q. Z. Zhang, L. Liang, and L. Lin. 1998. “Application of genetic evolutionary algorithm for slope stability analysis.” Chin. J. Geotech. Eng. 20 (1): 44–46.
Zeng, P., R. Jimenez, and R. Jurado-Piña. 2015. “System reliability analysis of layered soil slopes using fully specified slip surfaces and genetic algorithms.” Eng. Geol. 193: 106–117. https://doi.org/10.1016/j.enggeo.2015.04.026.
Zhai, J., and X. Cai. 2018. “Strength characteristics and slope stability of expansive soil from Pingdingshan, China.” Adv. Mater. Sci. Eng. 12: 3293619. https://doi.org/10.1155/2018/3293619.
Zhang, T. B. 1978. “Numerical solution of circular arc method for slope stability analysis.” [In Chinese.] J. Chengdu Inst. Technol. 1978: 97–122.
Zheng, H., G. H. Sun, and D. F. Liu. 2009. “A practical procedure for searching critical slip surfaces of slopes based on the strength reduction technique.” Comput. Geotech. 36 (1/2): 1–5. https://doi.org/10.1016/j.compgeo.2008.06.002.
Zhou, X. P., and H. Cheng. 2013. “Analysis of stability of three-dimensional slopes using the rigorous limit equilibrium method.” Eng. Geol. 160: 21–33. https://doi.org/10.1016/j.enggeo.2013.03.027.
Zhou, X. P., and H. Cheng. 2014. “Stability analysis of three-dimensional seismic landslides using the rigorous limit equilibrium method.” Eng. Geol. 174: 87–102. https://doi.org/10.1016/j.enggeo.2014.03.009.
Zhou, X. P., and H. Cheng. 2015. “The long-term stability analysis of 3D creeping slopes using the displacement-based rigorous limit equilibrium method.” Eng. Geol. 195: 292–300. https://doi.org/10.1016/j.enggeo.2015.06.002.
Zhu, X. R., Y. J. Zhu, and X. L. Yao. 2006. “Finding globally critical surface by optimization method based on soil slope face grids.” [In Chinese.] Rock Soil Mech. 27 (2): 252–256.
Zou, J. Z., D. J. Williams, and W. L. Xiong. 1995. “Search for critical slip surfaces based on finite element method.” Can. Geotech. J. 32 (2): 233–246. https://doi.org/10.1139/t95-026.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 20Issue 8August 2020

History

Received: Jan 23, 2019
Accepted: Feb 24, 2020
Published online: May 27, 2020
Published in print: Aug 1, 2020
Discussion open until: Oct 27, 2020

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State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing Univ., Chongqing 400045, P.R. China (corresponding author). Email: [email protected]
X. C. Huang
School of Civil Engineering, Hunan Univ. of Science and Technology, Xiangtan 411201, P.R. China.
X. F. Zhao
Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing Univ., Chongqing 400045, P.R. China.

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