• 제목/요약/키워드: Limit Equilibrium Stability Analysis

검색결과 184건 처리시간 0.028초

지구정보시스템을 이용한 금수산일대의 암반사면 안정성 평가 (Analysis of Rock Slope Stability by Using GIS in Mt. Keumsu Area)

  • 배현철
    • 자원환경지질
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    • 제33권1호
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    • pp.77-88
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    • 2000
  • The goal of this study is to assess the spatial distribution of natural slopes and cutting slopes under would-be development. For this goal, a quantitative slope stability analysis method using GIS integrated with a computer program was developed. Through field investigations, the discontinuity parameters were collected such as orientation of discontinuity, persistence, spacing, JRC, JCS, and water depth. The distributions were interpolated from the ordinary kriging method in ARC/INFO GIS after variogram analysis. The layers showing all parameters needed for limit equilibrium analysis were constructed. The final layer using GIS works composed of 162,352 polygons, that is, unit slopes. The rock slope stability analysis program was coded by C++ language. This program can calculate geometrical vectors related to rock block failures using input orientation data and direction and dimension of strength to occur failure. Also, this can calculate shear strength of joints through empirical equations and quantitative factors of safety. This methodology was applied to the study area which is located in Jaecheon city and Danyang-gun of the northeastern Keumsu is about 135$km^2$. As a result, the study area was entirely stable but unstable, that is, factor of safety less than 1.0dominantly at the slopes near Keumsil, Daejangri, Keumsungmyun and Sojugol, Mt. Dongsan, Juksongmyun by the natural slope stability analysis. Assuming the cutting slope showing the same direction immediate, and quantitative analysis of factors of safety for a regional area could be conducted through GIS integrated with a computer program of limit equilibrium.

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Assessment of slope stability using multiple regression analysis

  • Marrapu, Balendra M.;Jakka, Ravi S.
    • Geomechanics and Engineering
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    • 제13권2호
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    • pp.237-254
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    • 2017
  • Estimation of slope stability is a very important task in geotechnical engineering. However, its estimation using conventional and soft computing methods has several drawbacks. Use of conventional limit equilibrium methods for the evaluation of slope stability is very tedious and time consuming, while the use of soft computing approaches like Artificial Neural Networks and Fuzzy Logic are black box approaches. Multiple Regression (MR) analysis provides an alternative to conventional and soft computing methods, for the evaluation of slope stability. MR models provide a simplified equation, which can be used to calculate critical factor of safety of slopes without adopting any iterative procedure, thereby reducing the time and complexity involved in the evaluation of slope stability. In the present study, a multiple regression model has been developed and tested its accuracy in the estimation of slope stability using real field data. Here, two separate multiple regression models have been developed for dry and wet slopes. Further, the accuracy of these developed models have been compared and validated with respect to conventional limit equilibrium methods in terms of Mean Square Error (MSE) & Coefficient of determination ($R^2$). As the developed MR models here are not based on any region specific data and covers wide range of parametric variations, they can be directly applied to any real slopes.

Seismic lateral earth pressure analysis of retaining walls

  • Ismeik, Muhannad;Shaqour, Fathi
    • Geomechanics and Engineering
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    • 제8권4호
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    • pp.523-540
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    • 2015
  • Based on limit equilibrium principles, this study presents a theoretical derivation of a new analytical formulation for estimating magnitude and lateral earth pressure distribution on a retaining wall subjected to seismic loads. The proposed solution accounts for failure wedge inclination, unit weight and friction angle of backfill soil, wall roughness, and horizontal and vertical seismic ground accelerations. The current analysis predicts a nonlinear lateral earth pressure variation along the wall with and without seismic loads. A parametric study is conducted to examine the influence of various parameters on lateral earth pressure distribution. Findings reveal that lateral earth pressure increases with the increase of horizontal ground acceleration while it decreases with the increase of vertical ground acceleration. Compared to classical theory, the position of resultant lateral earth force is located at a higher distance from wall base which in turn has a direct impact on wall stability and economy. A numerical example is presented to illustrate the computations of lateral earth pressure distribution based on the suggested analytical method.

개별요소법과 한계평형법을 이용한 보은지역 암반사면 안전율 비교해석 (Comparison Analysis of Factor of Safety on Rock Slope in Boeun Region Using Distinct Element Method and Limit Equilibrium Method)

  • 이지수;유광호;박혁진;민경덕
    • 한국지반공학회논문집
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    • 제19권4호
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    • pp.33-41
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    • 2003
  • 연구대상 사면은 충북 보은군 보은읍 도로공사구간 내의 절취사면으로 절취시공 후 암반사면내의 일부 구간에서 평면파괴로 인한 사면 붕괴가 발생하였다. 이 구간에서는 파괴면과 유사한 방향성을 갖는 불연속면이 암반사면 내에 다수 분포하여 추가 붕괴가 예상되는 불안정한 상태이다. 따라서, 본 사면에 대하여 암반사면의 안정성 해석에 보편적으로 사용되는 SMR, 평사투영법, 한계평형법 및 수치해석 등의 기법을 이용하여 사면의 안정성을 해석하였다. 사면의 안정성평가에 보편적으로 사용되는 한계평형법은 간단한 계산에 의해 사면의 안정성을 평가할 수 있는 장점이 있으나 파괴 활동면을 가정할 수 없는 단일 안전율에 의해 전체 사면의 안정성을 평가하는 단점이 있다. 따라서, 본 연구에서는 개별절리를 고려하여 사면의 안정성을 평가하는 전단강도 감소기법으로부터 안전율을 계산하였으며, 이를 한계평형해석의 결과와 비교ㆍ분석하였다. 또한 본 사면내에 지하수 영향을 고려하고 보강공법을 적용하여 종합적인 안정성을 검토하였다.

Sensitivity-based reliability analysis of earth slopes using finite element method

  • Ji, Jian;Liao, Hong-Jian
    • Geomechanics and Engineering
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    • 제6권6호
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    • pp.545-560
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    • 2014
  • For slope stability analysis, an alternative to the classical limit equilibrium method (LEM) of slices is the shear strength reduction method (SRM), which can be integrated into finite element analysis or finite difference analysis. Recently, probabilistic analysis of earth slopes has been very attractive because it is capable to take the soil uncertainty into account. However, the SRM is less commonly extended to probabilistic framework compared to a variety of probabilistic LEM analysis of earth slopes. To overcome some limitations that hinder the development of probabilistic SRM stability analysis, a new procedure based on recursive algorithm FORM with sensitivity analysis in the space of original variables is proposed. It can be used to deal with correlated non-normal variables subjected to implicit limit state surface. Using the proposed approach, a probabilistic finite element analysis of the stability of an existing earth dam is carried out in this paper.

역학적으로 엄밀한 사면안정도표의 제안 (Proposal of a Mechanically Rigorous Slope Stability Chart)

  • 김종민
    • 한국지반공학회논문집
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    • 제20권1호
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    • pp.121-129
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    • 2004
  • 본 연구에서는 균질 단순사면의 안정검토 시 간편하게 이용할 수 있는 사면안정도표를 제안하였다. 기존의 사면안정도표는 대부분 한계평형해석에 근거하고 있으나 잘 알려진 바와 같이 한계평형해석은 역학적으로 엄밀한 해석기법이 아니다. 반면 가상일방정식과 소성이론의 경계정리를 이용한 한계해석은 계산이 간단하면서도 역학적 엄밀성이 보장되어 사면과 같은 지반구조물의 안정해석에 적합한 해석기 법이다. 특히 유한요소와 최적화기법을 적용한 수치한계해석은 다양한 사면조건을 반영할 수 있을 뿐 만 아니라 안정해의 최적값을 효율적으로 산정할 수 있는 장점이 있다. 본 연구에서는 유효응력 개념의 수치한계해석기법을 개발하고 다양한 사면조건에 대한 해석을 수행하여 역학적으로 엄밀한 사면안정도표를 제안하였다. 유효응력해석을 위한 간극수압의 영향은 기존의 사면안정도표와 같이 간극 수압비를 적용하여 고려하였다. 제안된 안정도표와 Spencer 안정도표를 비교한 결과 Spence. 안정도표를 적용하여 사면설계를 수행할 경우 안전측 설계가 됨을 알 수 있었다.

사면 안정해석에 적용되는 입력 인자들의 민감도 분석 (Sensitivity Analysis of Input Parameters in Slope Stability Analysis)

  • 백용;배규진;권오일;장수호;구호본
    • 한국지반공학회논문집
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    • 제21권5호
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    • pp.75-82
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    • 2005
  • 사면 안정해석은 현장 조사로부터 얻어지는 지반강도 정수의 역할이 매우 중요한 인자로 작용한다. 본 연구에서는 사면안정성 분석에서 입력변수들에 대한 상대적인 평가를 위하여 민감도 분석을 수행하였다. 설정된 입력 변수들은 사면의 경사, 점착력, 내부마찰각의 3가지 종류로 선별하였다. 사면안정해석은 기본적으로 한계평형으로 해석하였으며 수집된 현장자료를 이용하여 분석한 결과 확률변수들은 정규분포를 나타내는 것으로 나타났다. 몬테카를로 시뮬레이션을 이용하여 입력변수들을 발생시켰으며 붕괴된 암반사면을 이용하여 민감도 분석을 실시하였다. 분석결과 암반사면의 안전율은 예상보다 낮게 나타나는 것을 알 수 있었다. 민감도 분석 지수(PCC)를 이용하여 분석한 결과 사면 안전율에는, 점착력과 사면 경사가 매우 민감한 영향을 미치는 것으로 나타났으며 내부마찰각은 상대적으로 낮은 민감성을 띠는 것으로 분석되었다.

한계평형법에 의한 연약지반 보강성토의 안정해석 (Stability Analysis of the Reinforced Embankment on Soft Foundations using the Limit Equilibrium Method)

  • 고남영;고홍석
    • 한국농공학회지
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    • 제37권5호
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    • pp.101-110
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    • 1995
  • The use of geotextile as reinforced materials in Soil structures has become widespread throughout the world. Geotextile reinforcement has been used in retaining walls, slope of embankment and especially soft foundation, etc. In the past, however, its design and construction have been performed empirically. In this study, to investigate of the effect of geotextiles reinforced slope of the embankment on a very soft foundation, a limit equilibrium analysis program calculating the safety factor of embankment on very soft foundation was developed. The study was focussed on such factors as type of geotextile, tensile strength, amount of reinforcement, and inclination of embankment. And the 4imit equilibrium analysis program was written on the basis of Low's slope stability theory with some modification. The following conclusions were drawn from this study. (1) The orientation of reinforcement can be assumed either horizontal or tangential to the slip circle. The factor of safety with tangential reinforcement is larger than that with the horizontal reinforcement. (2) In general, the factor of safety increases, as the slope reduces. However, it is preferable to use geotextiles with higher tensile strength rather than to reduce the slope of the embankment, because it is difficult to adjust the slope as desired. (3) The factor of safety obtained by numerical computation is affected only by the tensile strength, but not by the type of the geotextile.

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2차원 유한요소법과 3차원 한계평형법을 이용한 테일러스 사면안정성 해석 (Analysis of Talus Slope Stability using 2D FEM and 3D Limit Equilibrium Method)

  • 이경미;김성권;서용석;이선복;김동현;김도식
    • 지질공학
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    • 제17권3호
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    • pp.381-391
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    • 2007
  • 본 연구에서는 2차원 유한요소법과 3차원 한계평형법을 함께 이용하여 테일러스 분포사면의 안정성을 해석하였다. Phase2를 이용한 유한요소해석에서는 발생응력의 분포를 이용하여 파괴심도를 추정하였다. 파괴면은 테일러스층 하부에 약 3-10m의 두께로 분포하는 붕적층 내에서 발생하였다. 유한요소해석 결과와 지질조사결과를 바탕으로 3차원 모델을 작성하여 한계평형해석을 실시하였다. 3차원 한계평형해석결과를 보면 건조시에는 모든 사면에서 안정한 것으로 나타났으나, 집중호우에 의해 지하수면이 붕적층을 포화시킬 때에는 급격히 불안정해지는 것으로 나타났다.

A Linear Theory of MHD Stability in the Geomagnetotail

  • Lee, Dae-Young
    • International Union of Geodesy and Geophysics Korean Journal of Geophysical Research
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    • 제24권1호
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    • pp.11-18
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    • 1996
  • A stability analysis in the geomagentotail is presented within MHD limit with a modified form ideal Ohm's law. Using the high ky approximation (ballooning limit), we derive the basic eigenmode equations which can be reduced to the ideal MHD limit. The incompressible limit is numerically solved for a number of model equilibria of tail by Kan [1973], and we have found no unstable Kan equilibrium. Also, an analytic theory is carried out for the case where Bkc is assumed to be constant along the field line, following the idea by Lee and Min [1996]. In that case, it is suggested that the tail stability to the incompressible antisymmetric mode is determined by the ideal MHD.

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