Slope Instability Risk Analysis in Earth Dams Using LHS-MC Method


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Risk analysis of slope instability in earth dams is presented using LHS –MC method. Latin hypercube sampling (LHS) is suggested as a tool to improve the efficiency of MC random sampling method. One example of risk analysis for dam slope instability is presented to demonstrate the validity and capability of the proposed method. By means of numerical example, it is shown that about 25% of the calculations can be saved by using LHS –MC method instead of simple MC. The exact savings, however, are dependent on details in the use of LHS and on the shape of the failure surfaces of the problems.



Edited by:

Xuejun Zhou






W. Wang et al., "Slope Instability Risk Analysis in Earth Dams Using LHS-MC Method", Applied Mechanics and Materials, Vols. 90-93, pp. 2503-2506, 2011

Online since:

September 2011




[1] Low B K. Reliability analysis of rock slopes involving correlated nonnormals [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(6): 922–935.

DOI: 10.1016/j.ijrmms.2007.02.008

[2] Yonghua Su, Minghua Zhao, Desong Jiang. Application of response surface method to reliability analysis of slope stability[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(7): 1 417–1 424 ( in chinese).

[3] Zuyu Chen. Soil slope stability analysis- Theory. Method and Programs. Beijing: China Water Power Press, 2003 ( in chinese).

[4] Ibrahim Y. An adaptive importance sampling strategy. Mechanics Computing. 1991: 253~256.

[5] Zhongji Xu. Monte Carlo Method. Shanghai:Shanghai Science Technology Publishing House, 1985 (in chinese).

[6] A. Olsson, G Sandberg,O. Dahlblom. On Latin hypercube sampling for structural reliability analysis. Structural Safety. 2003(25): 17~68.

DOI: 10.1016/s0167-4730(02)00039-5

[7] Yuan Zhou. Study on Monte Carlo Simulation Sampling Method [J]. Structure & Environment Engineering. 1997(3): 14~18 ( in chinese).

[8] Stein M. Large sample properties of simulations using Latin hypercube sampling. Technomet-rics 1987, 29(2): 143~151.

DOI: 10.2307/1269769

[9] McKay M. d., Conver W.J., Beckman R.J. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics. 1979, 21(2): 239~245.

DOI: 10.2307/1268522

[10] Olsson A M J, Sandberg G E. Latin Hypercube sampling for Stochastic Finite Element Analysis. Journal of Engineering Mechanics, 2002, 128(1): 121~125.

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