Application of Probabilistic Method to Stability Analysis of Gravity Dam Foundation over Multiple Sliding Planes

The current challenge to the engineering profession is to carry out probabilistic methods in practice. The design point method in generalized random space (DPG method) associated with the method of divided difference can be utilized to deal with the complex problem of probability calculation of implicit performance function with nonnormal and correlated variables. For a practical concrete gravity dam, the suggested method is performed to calculate the instability probability of the dam foundation over multiple sliding places. The general conclusions drawn in the paper are identical to those in other research and the method is proved to be feasible, accurate, and efficient. As the same analysis principle, the method can also be used in other similar fields, such as in fields of slopes, earth-rock dams, levees, and embankments.

[1]  Bak Kong Low,et al.  Probabilistic Stability Analyses of Embankments Based on Finite-Element Method , 2006 .

[2]  P. Das,et al.  Improved response surface method and its application to stiffened plate reliability analysis , 2000 .

[3]  Henrik O. Madsen,et al.  Structural Reliability Methods , 1996 .

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

[5]  A. Kiureghian,et al.  Multivariate distribution models with prescribed marginals and covariances , 1986 .

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

[7]  C. Manohar,et al.  Improved Response Surface Method for Time-Variant Reliability Analysis of Nonlinear Random Structures Under Non-Stationary Excitations , 2004 .

[8]  Robert E. Melchers,et al.  Effect of response surface parameter variation on structural reliability estimates , 2001 .

[9]  J. Tu,et al.  An Indicator Response Surface Method for Simulation-Based Reliability Analysis , 2008 .

[10]  Kok-Kwang Phoon,et al.  Reliability-Based Design in Geotechnical Engineering: Computations and Applications , 2009 .

[11]  A. Kiureghian,et al.  Multiple design points in first and second-order reliability , 1998 .

[12]  Gregory B. Baecher,et al.  Unresolved Problems in Geotechnical Risk and Reliability , 2011 .

[13]  J. B. Wang,et al.  A second-order third-moment method for calculating the reliability of fatigue , 1999 .

[14]  F. S. Wong,et al.  Slope Reliability and Response Surface Method , 1985 .

[15]  Henri P. Gavin,et al.  High-order limit state functions in the response surface method for structural reliability analysis , 2008 .

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

[17]  Christian Onof,et al.  An adaptive response surface method for reliability analysis of structures with multiple loading sequences , 2005 .

[18]  Pijush Samui,et al.  Least Square Support Vector Machine Applied to Slope Reliability Analysis , 2013, Geotechnical and Geological Engineering.

[19]  Wei Wang,et al.  Reliability analysis using radial basis function networks and support vector machines , 2011 .

[20]  Qiusheng Li,et al.  A new artificial neural network-based response surface method for structural reliability analysis , 2008 .

[21]  Huang Dongjun.  EQUAL SAFETY FACTOR METHOD AND ITS RELIABILITY ANALYSIS FOR ROCK FOUNDATION OF DAM , 2007 .

[22]  R. Rackwitz,et al.  Non-Normal Dependent Vectors in Structural Safety , 1981 .

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

[24]  A. Sellier,et al.  Adaptive response surface method based on a double weighted regression technique , 2009 .

[25]  H. U. Köylüoglu,et al.  New Approximations for SORM Integrals , 1994 .

[26]  John T. Christian,et al.  Geotechnical Engineering Reliability: How Well Do We Know What We Are Doing? , 2004 .

[27]  Chen Li-hong,et al.  Reliability analysis on sliding stability of gravity dams: Part I,an approach using criterion of safety margin ratio , 2012 .

[28]  Chen Zuyu,et al.  Reliability analysis on sliding stability of gravity dams: Part II,determination of shear strength parameters and partial factors , 2012 .

[29]  Linda J. Moore,et al.  Comparisons with the best in response surface methodology , 1999 .

[30]  K. Phoon,et al.  Copula-based approaches for evaluating slope reliability under incomplete probability information , 2015 .

[31]  Dan Li,et al.  Response Surface Method of Reliability Analysis and its Application in Slope Stability Analysis , 2013, Geotechnical and Geological Engineering.