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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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...
Probabilistic Slope Stability Analysis: A Case Study
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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: