Reliability analysis method for slope stability based on sample weight
The single safety factor criteria for slope stability evaluation, derived from the rigid limit equilibrium method or finite element method (FEM), may not include some important information, especially for steep slopes with complex geological conditions. This paper presents a new reliability method t...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2009-09-01
|
| Series: | Water Science and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1674237015300776 |
| _version_ | 1819292884090748928 |
|---|---|
| author | Zhi-gang Yang Tong-chun Li Miao-lin Dai |
| author_facet | Zhi-gang Yang Tong-chun Li Miao-lin Dai |
| author_sort | Zhi-gang Yang |
| collection | DOAJ |
| description | The single safety factor criteria for slope stability evaluation, derived from the rigid limit equilibrium method or finite element method (FEM), may not include some important information, especially for steep slopes with complex geological conditions. This paper presents a new reliability method that uses sample weight analysis. Based on the distribution characteristics of random variables, the minimal sample size of every random variable is extracted according to a small sample t-distribution under a certain expected value, and the weight coefficient of each extracted sample is considered to be its contribution to the random variables. Then, the weight coefficients of the random sample combinations are determined using the Bayes formula, and different sample combinations are taken as the input for slope stability analysis. According to one-to-one mapping between the input sample combination and the output safety coefficient, the reliability index of slope stability can be obtained with the multiplication principle. Slope stability analysis of the left bank of the Baihetan Project is used as an example, and the analysis results show that the present method is reasonable and practicable for the reliability analysis of steep slopes with complex geological conditions. |
| first_indexed | 2024-12-24T04:01:37Z |
| format | Article |
| id | doaj.art-9d4c4d73f8914098a1863fb1dcbb5d73 |
| institution | Directory Open Access Journal |
| issn | 1674-2370 |
| language | English |
| last_indexed | 2024-12-24T04:01:37Z |
| publishDate | 2009-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Water Science and Engineering |
| spelling | doaj.art-9d4c4d73f8914098a1863fb1dcbb5d732022-12-21T17:16:18ZengElsevierWater Science and Engineering1674-23702009-09-0123788610.3882/j.issn.1674-2370.2009.03.008Reliability analysis method for slope stability based on sample weightZhi-gang Yang0Tong-chun Li1Miao-lin Dai2College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, P.R. ChinaCollege of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, P.R. ChinaCollege of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, P.R. ChinaThe single safety factor criteria for slope stability evaluation, derived from the rigid limit equilibrium method or finite element method (FEM), may not include some important information, especially for steep slopes with complex geological conditions. This paper presents a new reliability method that uses sample weight analysis. Based on the distribution characteristics of random variables, the minimal sample size of every random variable is extracted according to a small sample t-distribution under a certain expected value, and the weight coefficient of each extracted sample is considered to be its contribution to the random variables. Then, the weight coefficients of the random sample combinations are determined using the Bayes formula, and different sample combinations are taken as the input for slope stability analysis. According to one-to-one mapping between the input sample combination and the output safety coefficient, the reliability index of slope stability can be obtained with the multiplication principle. Slope stability analysis of the left bank of the Baihetan Project is used as an example, and the analysis results show that the present method is reasonable and practicable for the reliability analysis of steep slopes with complex geological conditions.http://www.sciencedirect.com/science/article/pii/S1674237015300776reliability analysisslope stabilitysample weight coefficientt-distributionBayes formula |
| spellingShingle | Zhi-gang Yang Tong-chun Li Miao-lin Dai Reliability analysis method for slope stability based on sample weight Water Science and Engineering reliability analysis slope stability sample weight coefficient t-distribution Bayes formula |
| title | Reliability analysis method for slope stability based on sample weight |
| title_full | Reliability analysis method for slope stability based on sample weight |
| title_fullStr | Reliability analysis method for slope stability based on sample weight |
| title_full_unstemmed | Reliability analysis method for slope stability based on sample weight |
| title_short | Reliability analysis method for slope stability based on sample weight |
| title_sort | reliability analysis method for slope stability based on sample weight |
| topic | reliability analysis slope stability sample weight coefficient t-distribution Bayes formula |
| url | http://www.sciencedirect.com/science/article/pii/S1674237015300776 |
| work_keys_str_mv | AT zhigangyang reliabilityanalysismethodforslopestabilitybasedonsampleweight AT tongchunli reliabilityanalysismethodforslopestabilitybasedonsampleweight AT miaolindai reliabilityanalysismethodforslopestabilitybasedonsampleweight |