Landslide reliability analysis based on transfer coefficient method: A case study from Three Gorges Reservoir

To evaluate the reliability of a landslide in a reservoir, the universal transfer coefficient method, which is popularized by the Chinese standard, is adopted as performance function in this study for: (1) common deterministic method stability evaluation; (2) reliability evaluation based on a Monte Carlo method; (3) comparison of landslide reliability under different water levels and under different correlation coefficients between soil shear strength parameters (c, Φ), respectively with mean, standard deviation, reliability coefficient and failure probability. This article uses the Bazimen (八字门) landslide, which is located at the outlet of Xiangxi (香溪) River in the Three Gorges Reservoir, as an example to evaluate its stability and reliability under different water levels with two-dimensional deterministic and probabilistic methods. With the assumption that constant mean and normal distributed shear strength parameters (c, Φ), correlation coefficient ρc, Φ=−1 based reliability analysis, compared with ρc, Φ=0 and 1, indicates obviously more increase of reliability index and lower standard deviation as water levels rise. To the case of a certain water level, ρc,Φ=−1 does not have constantly positive or negative effects on landslide reliability compared with ρc, Φ=0 or 1, but is associated with water level. Whereas the safety factor Fs by deterministic method, which is almost the same value as corresponding mean of safety factor from probabilistic analysis, will increase slightly as water level increases.

[1]  A. Bishop The use of the Slip Circle in the Stability Analysis of Slopes , 1955 .

[2]  Peter Lumb,et al.  Safety factors and the probability distribution of soil strength , 1970 .

[3]  E. Spencer A Method of Analysis of the Stability of Embankments Assuming Parallel Inter-Slice Forces , 1967 .

[4]  B. Satyanarayana,et al.  A Method of Analysis of the Stability of Embankments Assuming Parallel Inter-Slice Forces , 1967 .

[5]  K. Yin,et al.  Mechanism of the Anlesi landslide in the Three Gorges Reservoir, China , 2009 .

[6]  D. Kallen Landslides at Qingjiang River in the Downstream Area of Shuibuya Dam Site, China , 2006 .

[7]  J. Christian,et al.  Reliability Applied to Slope Stability Analysis , 1994 .

[8]  Bak Kong Low Reliability analysis of rock slopes involving correlated nonnormals , 2007 .

[9]  W. Xiang,et al.  Frequency ratio analysis of mass movements in the Xiangxi catchment, Three Gorges Reservoir area, China , 2010 .

[10]  M. Matsuo,et al.  PROBABILISTIC APPROACH TO DESIGN OF EMBANKMENTS , 1974 .

[11]  Liu You-rong,et al.  Verificatio Verification of Transfer Coefficient Method Applied to Landslide Stability Analysis by physical model test , 2005 .

[12]  Erik H. Vanmarcke,et al.  PROBABILISTIC STABILITY ANALYSIS OF EARTH SLOPES , 1980 .

[13]  Robin Chowdhury,et al.  Quantitative Landslide Hazard Assessment in an Urban Area , 1999 .

[14]  Yudhbir,et al.  Slope Stability Computations with Nonlinear Failure Envelope using Generalized Procedure of Slices and Optimization Techniques , 1987 .

[15]  M. E. Muller,et al.  A Note on the Generation of Random Normal Deviates , 1958 .

[16]  Tien H. Wu,et al.  Safety Analysis of Slopes , 1970 .

[17]  N. Janbu Application of composite slip surfaces for stability analysis , 1954 .

[18]  Phillip N Flentje,et al.  Consideration of probability assessments relevant to hazard and risk for landslides , 1999 .

[19]  D. Cruden,et al.  Probabilistic slope stability analysis for practice , 2002 .

[20]  G. Auvinet,et al.  Three-dimensional reliability analysis of earth slopes , 2000 .

[21]  Sung-Eun Cho,et al.  Effects of spatial variability of soil properties on slope stability , 2007 .

[22]  Bai Shi-wei APPLICATION OF TRANSFER COEFFICIENT METHOD TO SCHEME DESIGN OF LANDSLIDE TREATMENT WITH SLOPE CUTTING , 2008 .

[23]  R. N. Chowdhury,et al.  RATIONAL POLYNOMIAL TECHNIQUE IN SLOPE-RELIABILITY ANALYSIS , 1993 .

[24]  Claudio Cherubini Rational Polynomial Technique in Slope-Reliability Analysis , 1995 .

[25]  Abdallah I. Husein Malkawi,et al.  Uncertainty and reliability analysis applied to slope stability , 2000 .

[26]  Robin Chowdhury,et al.  Role of slope reliability analysis in landslide risk management , 2003 .

[27]  Wilson H. Tang,et al.  REALISTIC ASSESSMENT OF SLOPE RELIABILITY FOR EFFECTIVE LANDSLIDE HAZARD MANAGEMENT , 2005 .

[28]  D. C. Tobutt Monte Carlo Simulation methods for slope stability , 1982 .

[29]  Dimitris Diamantidis THE JCSS PROBABILISTIC MODEL CODE FOR NEW AND EXISTING STRUCTURES , 1999 .

[30]  Joachim Rohn,et al.  Numerical simulation of Qiaotou Landslide deformation caused by drawdown of the Three Gorges Reservoir, China , 2011 .

[31]  E. E. Brabb Innovative approaches to landslide hazard and risk mapping , 1985 .

[32]  Claudia Cherubini,et al.  Reliability evaluation of shallow foundation bearing capacity on c', Φ' soils , 2000 .