Comparison of limit equilibrium and 2-d, 3-d finite element slope stability models: a case study on the slope in Akpınar district, in Ankara

Download

index.pdf

Date

2019

Author

Etiz, Mehmet Can

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

310
views

177
downloads

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 subsequent studies have been conducted by geotechnical experts and academicians. In this research, previous studies have been summarized, velocity-time plots have been constructed from the site inclinometer data and the performance of the slope has been studied by different methods on a comparative basis as a case. In the first part of the study, namely static analyses, back-analyses have been conducted to obtain equilibrium strength parameters. Also, the possible effects of the foundation excavation which existed on the toe of the landslide have been investigated. The impact of heavy rain on the slope has been modeled with 2D-LEM and 2D-FEM while the equilibrium condition has been modeled with 3D-FEM. For the seismic stability assessment of the slope, the effects of possible earthquake scenarios have been modeled. Both short term and long-term parameters have been used in the analyses. Pseudo-static coefficients for 2D-LEM, pseudo-static coefficients, and time-history analysis methods for 2D-FEM have been utilized for dynamic calculations. Consequently, it has been shown that deep and shallow sliding surfaces were triggered on the slope as a result of the heavy rain and that the existence of foundation excavation had an unfavorable effect on the initiation of the deep slide surface. Besides, almost in every case for the slope, FEM has provided approximately 10% lower safety factors compared to those offered by LEM. Also, for pseudo-static approach short term parameters and for time-history analyses, long term parameters have provided safer results.

Subject Keywords

Landslides., Landslide Velocity, Flood Condition, Earthquake Time-History Analysis, Limit Equilibrium and Finite Element Methods, Slope Stability.

URI

http://etd.lib.metu.edu.tr/upload/12624833/index.pdf
https://hdl.handle.net/11511/45052

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Probabilistic Slope Stability Analyses Using Limit Equilibrium and Finite Element Methods Akbas, Burak; Huvaj Sarıhan, Nejan (2015-10-16) 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.
Implementation of coordinate transformations in periodic finite-element method for modeling rough surface scattering problems ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (2016-05-01) The coordinate transformation technique (with its current name of transformation electromagnetics) is applied to the finite-element method (FEM) with periodic boundary conditions for efficient Monte Carlo simulation of one-dimensional random rough surface scattering problems. In a unit cell of periodic structure, two coordinate transformations are used, one of which is a real transformation designed to model the rough surface with flat surface, and the other is a complex transformation used to design a perf...
Scaling Relations and Self-Similarity of 3-Dimensional Reynolds-Averaged Navier-Stokes Equations Ercan, Ali; Kavvas, M. Levent (2017-07-01) Scaling conditions to achieve self-similar solutions of 3-Dimensional (3D) Reynolds-Averaged Navier-Stokes Equations, as an initial and boundary value problem, are obtained by utilizing Lie Group of Point Scaling Transformations. By means of an open-source Navier-Stokes solver and the derived self-similarity conditions, we demonstrated self-similarity within the time variation of flow dynamics for a rigid-lid cavity problem under both up-scaled and down-scaled domains. The strength of the proposed approach ...
Questioning Degree of Accuracy Offered by the Spectral Element Method in Computational Electromagnetics Mahariq, I.; KURT, HAMZA; Kuzuoğlu, Mustafa (2015-07-01) In this paper, a comparison amongst the spectral element method (SEM), the finite difference method (FDM), and the first-order finite element method (FEM) is presented. For the sake of consistency, the comparison is carried out on one-dimensional and two-dimensional boundary value problems based on the same measure of error in order to emphasize on the high accuracy gained by the SEM. Then, the deterioration in the accuracy of the SEM due to the elemental deformation is demonstrated. Following this, we try ...
Effective-mass Klein-Gordon-Yukawa problem for bound and scattering states Arda, Altug; Sever, Ramazan (2011-09-01) Bound and scattering state solutions of the effective-mass Klein-Gordon equation are obtained for the Yukawa potential with any angular momentum l. Energy eigenvalues, normalized wave functions, and scattering phase shifts are calculated as well as for the constant mass case. Bound state solutions of the Coulomb potential are also studied as a limiting case. Analytical and numerical results are compared with the ones obtained before. (C) 2011 American Institute of Physics. [doi:10.1063/1.3641246]

Citation Formats

M. C. Etiz, “Comparison of limit equilibrium and 2-d, 3-d finite element slope stability models: a case study on the slope in Akpınar district, in Ankara,” Thesis (M.S.) -- Graduate School of Natural and Applied Sciences. Civil Engineering., Middle East Technical University, 2019.