Probabilistic Slope Stability Analyses Using Limit Equilibrium and Finite Element Methods

Akbas, Burak
Huvaj Sarıhan, Nejan
This paper compares the results of different probabilistic approaches and emphasizes the necessity of probabilistic analyses in slope stability studies. To do that, Limit Equilibrium Method (LEM) and Finite Element Method (FEM) are utilized and their outputs are compared in terms of probability of failure (PF), reliability index (RI), factor of safety (FS) and the failure surface. Lastly, concept of Random Finite Element Method (RFEM) is studied and effects of spatial correlation distance are investigated.


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While advanced numerical techniques in slope stability analysis are successfully used in deterministic studies, they have so far found limited use in probabilistic analyses due to their high computation cost. The first-order reliability method (FORM) is one of the most efficient probabilistic techniques to perform probabilistic stability analysis by considering the associated uncertainties in the analysis parameters. However, it is not possible to directly use FORM in numerical slope stability evaluations a...
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In this thesis, a survey on pseudospectral methods for differential equations is presented. Properties of the classical orthogonal polynomials required in this context are reviewed. Differentiation matrices corresponding to Jacobi, Laguerre,and Hermite cases are constructed. A fairly detailed investigation is made for the Hermite spectral methods, which is applied to the Schrödinger eigenvalue equation with several potentials. A discussion of the numerical results and comparison with other methods are then ...
Probabilistic Slope Stability Analysis: A Case Study
Huvaj Sarıhan, Nejan (2018-10-01)
Probabilistic slope stability analyses are becoming more and more popular to evaluate the safety level of slopes and associated risk and reliability, especially in the recent years. The probabilistic approach can take into account the uncertainties and natural variability in material properties, as well as in environmental factors, by using various statistical distribution functions (such as normal, lognormal etc.) for random variables. It is already noted by various researchers that, a slope with a determi...
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Etiz, Mehmet Can; Bakır, Bahadır Sadık; Department of Civil Engineering (2019)
This study presents comparisons of Two-Dimensional (2D) Limit Equilibrium Method (LEM), Finite Element Method (FEM), and Three-Dimensional (3D) FEM slope stability models for the slope in Akpınar District in Ankara. A landslide has occurred on the aforementioned slope following heavy rain in June 2011. One of the buildings on the slope has overturned about 3 to 5 degrees and some other buildings in the area have suffered substantial damages. Following the landslide, several field investigations and subseque...
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This paper discusses the problem of statistical inference in multivariate linear regression models when the errors involved are non normally distributed. We consider multivariate t-distribution, a fat-tailed distribution, for the errors as alternative to normal distribution. Such non normality is commonly observed in working with many data sets, e.g., financial data that are usually having excess kurtosis. This distribution has a number of applications in many other areas of research as well. We use modifie...
Citation Formats
B. Akbas and N. Huvaj Sarıhan, “Probabilistic Slope Stability Analyses Using Limit Equilibrium and Finite Element Methods,” 2015, Accessed: 00, 2020. [Online]. Available: