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Volume 38 Issue 6
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LI Dian-qing, XIAO Te, CAO Zi-jun, TANG Xiao-song, PHOON Kok-kwang. Auxiliary slope reliability analysis using limit equilibrium method and finite element method[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(6): 1004-1013. DOI: 10.11779/CJGE201606005
Citation: LI Dian-qing, XIAO Te, CAO Zi-jun, TANG Xiao-song, PHOON Kok-kwang. Auxiliary slope reliability analysis using limit equilibrium method and finite element method[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(6): 1004-1013. DOI: 10.11779/CJGE201606005
shu

Auxiliary slope reliability analysis using limit equilibrium method and finite element method

  • State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China

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  • Received Date: May 13, 2015
  • Published Date: June 24, 2016
    Abstract
  • The limit equilibrium method (LEM) and the finite element method (FEM) are two commonly-used slope stability analysis methods. The LEM-based slope reliability analysis is computationally efficient based on the prescribed slip surfaces, while the FEM-based one tends to give more realistic reliability estimates. A new simulation-based reliability method, namely auxiliary slope reliability analysis method, is developed, which includes two major steps (preliminary and target reliability analyses) and makes use of advantages of both LEM and FEM to achieve efficient and consistent slope reliability analysis. A two-layered slope example considering spatial variability is illustrated using the proposed method. The results indicate that the proposed method gives reliability estimates consistent with those obtained by the Monte Carlo simulation or subset simulation based on FEM, and it also significantly reduces the computational efforts at small probability levels. This enhances the application of FEM-based reliability analysis in slope engineering practice. The information generated in the LEM-based reliability analysis can be properly incorporated into the FEM-based reliability analysis, through which a large amount of failure samples can be obtained and used for making slope remedy measures. In addition, the proposed method is very practicable for high-dimensional reliability problems, such as slope reliability problem considering spatial variability.
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  • [1]
    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))
    [2]
    吴振君, 王水林, 葛修润. LHS方法在边坡可靠度分析中的应用[J]. 岩土力学, 2010, 31(4): 1047-1054. (WU Zhen-jun, WANG Shui-lin, GE Xiu-run. Application of Latin hypercube sampling technique to slope reliability analysis[J]. Rock and Soil Mechanics, 2010, 31(4): 1047-1054. (in Chinese))
    [3]
    李典庆, 祁小辉, 周创兵, 等. 考虑参数空间变异性的无限长边坡可靠度分析[J]. 岩土工程学报, 2013, 35(10): 1799-1806. (LI Dian-qing, QI Xiao-hui, ZHOU Chuang-bing, et al. Reliability analysis of infinite soil slopes considering spatial variability of soil parameters[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(10): 1799-1806. (in Chinese))
    [4]
    唐小松, 李典庆, 周创兵, 等. 不完备概率信息条件下边坡可靠度分析方法[J]. 岩土工程学报, 2013, 35(6): 1027-1034. (TANG Xiao-song, LI Dian-qing, ZHOU Chuang-bing, et al. Reliability analysis of slopes with incomplete probability information[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(6): 1027-1034. (in Chinese))
    [5]
    GRIFFITHS D V, FENTON G A. Probabilistic slope stability analysis by finite elements[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2004, 130(5): 507-518.
    [6]
    GRIFFITHS D V, HUANG J, FENTON G A. Influence of spatial variability on slope reliability using 2-D random fields[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135(10): 1367-1378.
    [7]
    HUANG J, LYAMIN A V, GRIFFITHS D V, et al. Quantitative risk assessment of landslide by limit analysis and random fields[J]. Computers and Geotechnics, 2013, 53: 60-67.
    [8]
    李典庆, 周创兵. 考虑多失效模式相关的岩质边坡体系可靠度分析[J]. 岩石力学与工程学报, 2009, 28(3): 541-551. (LI Dian-qing, ZHOU Chuang-bing. System reliability analysis of rock slope considering multiple correlated failure modes[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(3): 541-551. (in Chinese))
    [9]
    CHING J, PHOON K K, HU Y G. Efficient evaluation of reliability for slopes with circular slip surfaces using importance sampling[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135(6): 768-777.
    [10]
    曹子君. 子集模拟在边坡可靠性分析中的应用[D]. 成都: 西南交通大学, 2009. (CAO Zi-jun. Application of subset simulation on reliability analysis of slope stability[D]. Chengdu: Southwest Jiaotong University, 2009. (in Chinese))
    [11]
    张 曼, 唐小松, 李典庆. 含相关非正态变量边坡可靠度分析的子集模拟方法[J]. 武汉大学学报 (工学版), 2012, 45(1): 41-45. (ZHANG Man, TANG Xiao-song, LI Dian-qing. Reliability analysis of slope stability involving correlated non-normal variables using subset simulation method[J]. Engineering Journal of Wuhan University, 2012, 45(1): 41-45. (in Chinese))
    [12]
    WANG Y, CAO Z, 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.
    [13]
    LI D Q, XIAO T, CAO Z J, et al. Enhancement of random finite element method in reliability analysis and risk assessment of soil slopes using Subset Simulation[J]. Landslides, 2016, 13: 293-303.
    [14]
    李典庆, 肖 特, 曹子君, 等. 基于高效随机有限元法的边坡风险评估[J]. 岩土力学, (已录用). (LI Dian-qing, XIAO Te, CAO Zi-jun, et al. Slope risk assessment using efficient random finite element method[J]. Rock and Soil Mechanics, (Accepted). (in Chinese))
    陈祖煜. 土质边坡稳定分析——原理·方法·程序[M]. 北京: 中国水利水电出版社, 2003. (CHEN Zu-yu. Soil slope stability analysis-theory, methods, and programs[M]. Beijing: China Water & Power Press, 2003. (in Chinese))
    [15]
    郑颖人, 赵尚毅, 李安红, 等. 有限元极限分析法及其在边坡中的应用[M]. 北京: 人民交通出版社, 2011. (ZHENG Ying-ren, ZHAO Shang-yi, LI An-hong, et al. FEM limit analysis and its application in slope engineering[M]. Beijing: China Communications Press, 2011. (in Chinese))
    [16]
    AU S K, BECK J L. Estimation of small failure probabilities in high dimensions by subset simulation[J]. Probabilistic Engineering Mechanics, 2001, 16(4): 263-277.
    [17]
    AU S K, WANG Y. Engineering risk assessment with subset simulation[M]. Singapore: John Wiley & Sons, 2014.
    [18]
    AU S K. Augmenting approximate solutions for consistent reliability analysis[J]. Probabilistic Engineering Mechanics, 2007, 22(1): 77-87.
    [19]
    VANMARCKE E H. Random fields analysis and synthesis (revised and expanded new edition)[M]. Singapore: World Scientific Publishing Co Pte Ltd, 2010.
    [20]
    肖 特, 李典庆, 周创兵, 等. 基于有限元强度折减法的多层边坡非侵入式可靠度分析[J]. 应用基础与工程科学学报, 2014, 22(4): 718-732. (XIAO Te, LI Dian-qing, ZHOU Chuang-bing, et al. Non-intrusive reliability analysis of multi-layered slopes using strength reduction FEM[J]. Journal of Basic Science and Engineering, 2014, 22(4): 718-732. (in Chinese))
    [21]
    蒋水华, 李典庆, 曹子君, 等. 考虑参数空间变异性的边坡系统可靠度分析[J]. 应用基础与工程科学学报, 2014, 22(5): 841-855. (JIANG Shui-hua, LI Dian-qing, CAO Zi-jun, et al. System reliability analysis of slopes considering spatial variability of soil properties[J]. Journal of Basic Science and Engineering, 2014, 22(5): 841-855. (in Chinese))
    [22]
    蒋水华, 李典庆, 周创兵, 等. 考虑自相关函数影响的边坡可靠度分析[J]. 岩土工程学报, 2014, 36(3): 508-518. (JIANG Shui-hua, LI Dian-qing, ZHOU Chuang-bing, et al. Slope reliability analysis considering effect of autocorrelation functions[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(3): 508-518. (in Chinese))
    [23]
    薛亚东, 方 超, 葛嘉诚. 各向异性随机场下的边坡可靠度分析[J]. 岩土工程学报, 2013, 35(增刊2): 77-82. (XUE Ya-dong, FANG Chao, GE Jia-cheng. Slope reliability in anisotropic random fields[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(S2): 77-82. (in Chinese))
    [24]
    舒苏荀, 龚文惠. 二维随机场下边坡稳定性的径向基函数神经网络分析法[J]. 岩土力学, 2015, 36(4): 1205-1210. (SHU Su-xun, GONG Wen-hui. Radial basis function neural network-based method for slope stability analysis under two-dimensional random field[J]. Rock and Soil Mechanics, 2015, 36(4): 1205-1210. (in Chinese))
    [25]
    CHO S E. Effects of spatial variability of soil properties on slope stability[J]. Engineering Geology, 2007, 92(3): 97-109.
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