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Volume 35 Issue 8
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LI Dian-qing, JIANG Shui-hua, ZHOU Chuang-bing, PHOON Kok Kwang. Reliability analysis of slopes considering spatial variability of soil parameters using non-intrusive stochastic finite element method[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(8): 1413-1422.
Citation: LI Dian-qing, JIANG Shui-hua, ZHOU Chuang-bing, PHOON Kok Kwang. Reliability analysis of slopes considering spatial variability of soil parameters using non-intrusive stochastic finite element method[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(8): 1413-1422.
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Reliability analysis of slopes considering spatial variability of soil parameters using non-intrusive stochastic finite element method

  • 1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China; 2. Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering, Ministry of Education, Wuhan University, Wuhan 430072, China; 3. Department of Civil and Environmental Engineering, National University of Singapore, Singapore 117576, Singapore

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  • Received Date: September 13, 2012
  • Published Date: August 19, 2013
    Graphical Abstract
    • Abstract
  • A non-intrusive stochastic finite element method (NISFEM) is proposed for the reliability analysis of slope stability considering spatial variability of soil parameters. Firstly, the Karhunen-Loeve (K-L) expansion method is used to characterize the spatial variability of shear strength parameters, where the wavelet-Galerkin technique is employed to numerically solve the eigenvalue problem of the Fredholm integral equation. Thereafter, the finite element method is used for slope stability analysis, the factor of safety is explicitly expressed using the Hermite polynomial chaos expansion (PCE), and the flow chart of procedure is also presented. Finally, the proposed NISFEM is studied by application to the reliability analysis of a homogeneous slope. The results indicate that the proposed method can greatly improve the calculation efficiency for slope reliability analysis considering spatial variability of soil parameters, and that it provides on effective way for solving complex slope reliability problems. There exists a critical coefficient of variation for slope reliability analysis, which increases as the factor of safety increases. If the spatial variability of soil properties is ignored, it will lead to overestimating the probability of failure when the coefficient of variation of shear strength parameters is less than the critical value. The probability of failure does not always increase with the coefficient of variation when the factor of safety is less than 1.0. In addition, the correlation between the random fields of effective cohesion and internal friction angle has a very significant effect on the
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  • [1]
    CHRISTIAN J T, LADD C C, BAECHER G B. Reliability applied to slope stability analysis[J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 1994, 120(12): 2180-2207.
    DUNCAN J M. Factors of safety and reliability in geotechnical engineering[J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 2000, 126(4): 307-316.
    GRIFFITHS D V, FENTON G A. Probabilistic slope stability analysis by finite elements[J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 2004, 130(5): 507-518.
    GRIFFITHS D V, HUANG J S, FENTON G A. Influence of spatial variability on slope reliability using 2-D random fields[J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 2009, 135(10): 1367-1378.
    SUCHOMEL R, Ma?ín D. Comparison of different probabilistic methods for predicting stability of a slope in spatially variable c-φ soil[J]. Ma?ín D. Comparison of different probabilistic methods for predicting stability of a slope in spatially variable c-φ soil[J]. Computers and Geotechnics, 2010, 37(1/2), 132-140.
    WANG Y, CAO Z J, AU S K. Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet[J]. Canadian Geotechnical Journal, 2011, 48(1): 162-172.
    CHO S E. Effects of spatial variability of soil properties on slope stability[J]. Engineering Geology, 2007, 92(3/4): 97-109.
    CHO S E. Probabilistic assessment of slope stability that considers the spatial variability of soil properties[J]. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 2010, 136(7): 975-984.
    HUANG S P. Simulation of random processes using Karhunen-Loeve expansion[D]. Singapore: National University of Singapore, 2001.
    JI J, LIAN H J. LOW B K. Modeling 2-D spatial variation in slope reliability analysis using interpolated autocorrelations[J]. Computers and Geotechnics, 2012, 40: 135-146.
    吴振君, 王水林, 葛修润. 约束随机场下的边坡可靠度随机有限元分析方法[J]. (岩土力学), 2009, 30(10): 3086-3092.(WU Zhen-jun, WANG Shui-lin, GE Xiu-run. Slope reliability analysis by random FEM under constraint random field[J]. Rock and Soil Mechanics, 2009, 30(10): 3086-3092. (in Chinese))
    潘 健, 周 森. 考虑参数空间变异性的不排水边坡可靠度分析[J]. (汕头大学学报(自然科学版)), 2010, 25(3): 74-80.(PAN Jian, ZHOU Sen. Analysis of influence of spatial variability on undrained slope reliability[J]. Chinese Journal of Shantou University (Natural Science ), 2010, 25(3): 74-80. (in Chinese))
    PHOON K K, HUANG S P, QUEK S T. Implementation of Karhunen-Loeve expansion for simulation using a wavelet-Galerkin scheme[J]. Probabilistic Engineering Mechanics, 2002, 17(3): 293-303.
    GEO-SLOPE International Ltd. Stress-deformation modeling with SIGMA/W 2007 version: an engineering methodology[M]. Calgary: GEO-SLOPE International Ltd, 2010.
    GEO-SLOPE International Ltd. Stability modeling with SLOPE/W 2007 version: an engineering methodology[M]. Calgary: GEO-SLOPE International Ltd, 2010.
    LI K S, LUMB P. Probabilistic design of slopes[J].Canadian Geotechnical Journal, 1987, 24(4): 520-535.
    SONG K I, CHO G C, LEE S W. Effects of spatially variable weathered rock properties on tunnel behavior[J]. Probabilistic Engineering Mechanics, 2011, 26(3): 413-426.
    EL-RAMLY H, MORGENSTERN N R, CRUDEN D M. Probabilistic stability analysis of a tailings dyke on presheared clay-shale[J]. Canadian Geotechnical Journal, 2003, 40(1): 192-208.
    LI D Q, CHEN Y F, LU W B,et al. Stochastic response surface method for reliability analysis of rock slopes involving correlated non-normal variables[J]. Computers and Geotechnics, 2011, 38(1): 58-68.
    HUANG S P, LIANG B, PHOON K K. Geotechnical probabilistic analysis by collocation-based stochastic response surface method- An EXCEL add-in implementation [J]. Georisk, 2009, 3(2): 75-86.
    MOLLON G, DIAS D, SOUBRA A H. Probabilistic analysis of pressurized tunnels against face stability using collocation-based stochastic response surface method[J]. Journal of Geotechnical and Geoenvironmental Engineering ASCE, 2011, 137(4): 385-397.
    ZOU J Z, WILLIANS D J, XIONG W L. Search for critical slip surfaces based on finite element method[J]. Canadian Geotechnical Journal, 1995, 32(2): 233-246.
    FARIAS M M, NAYLOR D J. Safety analysis using finite elements[J]. Computers and Geotechnics, 1998, 22(2): 165-181.
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