Locating critical circular and unconstrained failure surface in slope stability analysis with tailored genetic algorithm

• Autorzy: Pasik T. , van der Meij R.

Identyfikatory

DOI

10.1515/sgem-2017-0039

• Języki publikacji: EN

Abstrakty

EN

This article presents an efficient search method for representative circular and unconstrained slip surfaces with the use of the tailored genetic algorithm. Searches for unconstrained slip planes with rigid equilibrium methods are yet uncommon in engineering practice, and little publications regarding truly free slip planes exist. The proposed method presents an effective procedure being the result of the right combination of initial population type, selection, crossover and mutation method. The procedure needs little computational effort to find the optimum, unconstrained slip plane. The methodology described in this paper is implemented using Mathematica. The implementation, along with further explanations, is fully presented so the results can be reproduced. Sample slope stability calculations are performed for four cases, along with a detailed result interpretation. Two cases are compared with analyses described in earlier publications. The remaining two are practical cases of slope stability analyses of dikes in Netherlands. These four cases show the benefits of analyzing slope stability with a rigid equilibrium method combined with a genetic algorithm. The paper concludes by describing possibilities and limitations of using the genetic algorithm in the context of the slope stability problem.

Słowa kluczowe

EN

genetic algorithm; Spencers method; slope stability; critical failure surface; uplift phenomenon

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2017
• Tom: Vol. 39, nr 4
• Strony: 87--98
• Opis fizyczny: Bibliogr. 26 poz., rys., tab.

Twórcy

autor

Pasik T.

• Warsaw University of Life Sciences – SGGW, Faculty of Civil and Environmental Engineering, ul. Nowoursynowska 159, 02-776 Warszawa, Poland

autor

van der Meij R.

• Deltares, Department of Geotechnical Engineering, Boussinesqweg 1, 2629 HV Delft, The Netherlands

Bibliografia

• [1] BENGTSSON M.G., 1993, Genetic algorithms, URL http://library.wolfram.com/infocenter/MathSource/569/
• [2] CHENG Y., Location of critical failure surface and some further studies on slope stability analysis, Computers and Geotechnics, 2003, 30(3), 255-267.
• [3] CHENG Y., LI L., CHUN CHI S., WEI W., Particle swarm optimization algorithm for the location of the critical noncircular failure surface in two-dimensional slope stability analysis, Computers and Geotechnics, 2007, 34(2), 92-103.
• [4] DAS S.K., Slope stability analysis using genetic algorithm, Electron. J. Geotech. Eng., 2005, 10, 429-439.
• [5] GAO W., Forecasting of landslide disasters based on bionics algorithm. Part 1: Critical slip surface searching, Computers and Geotechnics, 2014, 61, 370-377.
• [6] GARG A., GARG A., TAI K., BARONTINI S., STOKES A., A computational intelligence-based genetic programming approach for the simulation of soil water retention curves, Transport in Porous Media, 2014, 103(3), 497-513.
• [7] GOH A.T., Genetic algorithm search for critical slip surface in multiple-wedge stability analysis, Canadian Geotechnical Journal, 1999, 36(2), 382-391.
• [8] GOLDBERG D.E., Genetic Algorithms in Search, Optimization and Machine Learning, 1st Ed., Addison-Wesley Longman Publishing Co., Inc., Boston, MA, USA, 1989.
• [9] LI Y.-C., CHEN Y.-M., ZHAN T.L., LING D.-S., CLEALL P.J., An efficient approach for locating the critical slip surface in slope stability analyses using a real-coded genetic algorithm, Canadian Geotechnical Journal, 2010, 47(7), 806-820.
• [10] MADEJ J., Metody sprawdzania stateczności zboczy, Wydawnictwo Komunikacji Łączności, 1981.
• [11] MANOUCHEHRIAN A., GHOLAMNEJAD J., SHARIFZADEH M., Development of a model for analysis of slope stability for circular mode failure using genetic algorithm, Environmental Earth Sciences, 2014, 71(3), 1267-1277.
• [12] MATTHEWS C., FAROOK Z., HELM P., Slope stability anlysis – limit equilibrium or finite element method?, Ground Engineering, 2014, 22-28.
• [13] MCCOMBIE P., WILKINSON P., The use of the simple genetic algorithm in finding the critical factor of safety in slope stability analysis, Computers and Geotechnics, 2002, 29(8), 699-714.
• [14] OSIŃSKI P., RICKSON R.J., HANN M.J., KODA E., Assessment of slope stability influenced by vegetation cover and additional loads applied, Annals of Warsaw University of Life Sciences, Land Reclamation, 2014, 46(2), 81-91.
• [15] PASIK T., Liniowa analiza numeryczna zachowania się gruntu pod fundamentem bezpośrednim przy wykorzystaniu czterowęzłowego elementu skończonego z wygładzonym polem naprężeń, Acta Sci. Pol. Architectura, 2016, 15(1), 15-26.
• [16] PASIK T., VAN DER MEIJ R., 2016. Locating critical circular and unconstrained failure surface in slope stability analysis with tailored genetic algorithm – mathematica code.
• [17] SARMA S.K., TAN D., Determination of critical slip Surface in slope analysis, Gotechnique, 2006, 56(8), 539-550.
• [18] SAS W., GŁUCHOWSKI A., BURSA B., SZYMAŃSKI A., Energybased analysis of permanent strain behaviour of cohesive soil under cyclic loading, Acta Geophysica, 2017, 65(2), 331-344.
• [19] SENGUPTA A., UPADHYAY A., Locating the critical failure surface in a slope stability analysis by genetic algorithm, Applied Soft Computing, 2009, 9(1), 387-392.
• [20] SROKOSZ P., Slope stability analysis by variational method with genetic algorithm application, Part 4: Parallel genetic algorithms, Archives of Civil Engineering, 2009, 55(2), 229-256.
• [21] TOLL D., ASQUITH J., FRASER A., HASSAN A., LIU G., LOURENCO S., MENDES J., NOGUCHI T., OSIŃSKI P., STIRLING R., Tensiometer techniques for determining soil water retention curves, Asia-Pacific Conference on Unsaturated Soil, At Guilin, China, 2015.
• [22] VAN M.A., KOELEWIJN A.R., BARENDS F.B.J., Uplift phenomenon: Model, validation, and design, International Journal of Geomechanics, 2015, 5(2), 98-106.
• [23] VAN DER MEIJ R., SELLMEIJER J.B., A genetic algorithm for solving slope stability problems: From bishop to a free slip plane, [in:] T. Benz, S. Nordal (Eds.), Proceedings of NUMGE 2010. Taylor & Francis Group, 2010, 345-350
• [24] WELLIN P., Programming with Mathematica: An Introduction, Cambridge University Press, Cambridge Books Online, 2013.
• [25] ZHU J.-F., CHEN C.-F., Search for circular and noncircular critical slip surfaces in slope stability analysis by hybrid genetic algorithm, Journal of Central South University, 2014, 21(1), 387-397.
• [26] 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.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).