An algorithm in generalized coordinate system and its application to reliability analysis of seismic slope stability of high rockfill dams

Abstract This paper introduced generalized coordinate system into reliability analysis involving correlated random variables. Correlation between two random variables is reflected by rotation of the corresponding coordinate axes and correlation coefficient between the two variables is identical to cosine of angle between the axes. The equivalent matrix formulation for the Hasofer–Lind reliability index represents the shortest distance from the failure surface to the origin in the generalized coordinate system of standardized normal variables. A simple optimization algorithm for reliability computing was established based on the perspective of reliability index and the gradient of limit state function in generalized coordinate system. Based on the algorithm and the Ordinary method of slices, a probabilistic approach for evaluating the seismic slope stability of high rockfill dams was developed and was applied to the slope reliability analysis of an actual high rockfill dam under seismic loading. The results of the slope reliability analysis are discussed and conclusions are presented in this paper.

[1]  Zijiang Yang,et al.  New pole-searching algorithm with applications to probabilistic circular slope stability assessment , 2013, Comput. Geosci..

[2]  Mohd Raihan Taha,et al.  Penggunaan kaedah pengoptimuman kelompok zarah dalam menilai keboleharapan analisis kestabilan cerun tanah , 2012 .

[3]  Xin Li,et al.  Slope safety factor search strategy for multiple sample points for reliability analysis , 2012 .

[4]  Nicholas Sitar,et al.  Reliability approach to slope stability analysis with spatially correlated soilproperties , 2013 .

[5]  Sung Eun Cho,et al.  First-order reliability analysis of slope considering multiple failure modes , 2013 .

[6]  Xin Li,et al.  A Kriging-based hybrid optimization algorithm for slope reliability analysis , 2012 .

[7]  Bin Shi,et al.  Probabilistic prediction of rainfall-induced slope failure using a mechanics-based model , 2014 .

[8]  Pijush Samui,et al.  Utilization relevance vector machine for slope reliability analysis , 2011, Appl. Soft Comput..

[9]  Hongjian Liao,et al.  Sensitivity-based reliability analysis of earth slopes using finite element method , 2014 .

[10]  Robert Y. Liang,et al.  A reliability based approach for evaluating the slope stability of embankment dams , 1999 .

[11]  R. Rackwitz,et al.  Structural reliability under combined random load sequences , 1978 .

[12]  Akbar A. Javadi,et al.  An investigation into application of jointly distributed random variables method in reliability assessment of rock slope stability , 2013 .

[13]  Dian-Qing Li,et al.  Stochastic response surface method for reliability analysis of rock slopes involving correlated non-normal variables , 2011 .

[14]  W. Tang,et al.  EFFICIENT RELIABILITY EVALUATION USING SPREADSHEET , 1997 .

[15]  Yu Wang,et al.  Probabilistic slope stability analysis by risk aggregation , 2014 .

[16]  Yu WangY. Wang,et al.  Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet , 2011 .

[17]  Rajib Chowdhury,et al.  Probabilistic stability assessment of slopes using high dimensional model representation , 2010 .

[18]  C. Hsein Juang,et al.  Reliability Analysis of Rock Wedge Stability: Knowledge-Based Clustered Partitioning Approach , 2012 .

[19]  Dian-Qing Li,et al.  Slope reliability analysis considering spatially variable shear strength parameters using a non-intrusive stochastic finite element method , 2014 .

[20]  Xing Zheng Wu Probabilistic slope stability analysis by a copula-based sampling method , 2013, Computational Geosciences.

[21]  Dian-Qing Li,et al.  Extension of Hassan and Wolff method for system reliability analysis of soil slopes , 2013 .

[22]  D. V. Griffiths,et al.  Simplified quantitative risk assessment of rainfall-induced landslides modelled by infinite slopes , 2014 .

[23]  Dian-Qing Li,et al.  Improved knowledge-based clustered partitioning approach and its application to slope reliability analysis , 2012 .

[24]  Ahmed El-Shafie,et al.  Modified particle swarm optimization for probabilistic slope stability analysis , 2010 .

[25]  Zhenyu Wu,et al.  A reliability-based approach to evaluating the stability of high rockfill dams using a nonlinear shear strength criterion , 2013 .