Details
| Original language | English |
|---|---|
| Article number | 105060 |
| Journal | Computers and geotechnics |
| Volume | 153 |
| Early online date | 14 Oct 2022 |
| Publication status | Published - Jan 2023 |
Abstract
Spatial uncertainty of soil parameters has a significant impact on the analysis of slope stability. Interval field analysis is emerging as a complementary tool of the conventional random field method that can take spatial uncertainty into account, which, however, has not been investigated in slope stability analysis. The present paper proposes a new method, named the interval field limit equilibrium method (IFLEM), for assessing the stability of slope in the presence of the interval field. In this method, the modified exponential function is introduced to characterize the spatial uncertainty of the interval field and the Karhunen–Loève-like decomposition is employed to generate the interval field. Then, in a single calculation, the deterministic slope stability analyzed by the Morgenstern–Price approach is implemented in order to estimate the safety factor. Subsequently, the upper and lower bounds of the interval of safety factor are efficiently evaluated by a kind of surrogate-assisted global optimization algorithms, such as Bayesian global optimization used in this study. Finally, the effectiveness of the proposed method is verified by three numerical examples. The results indicate that the proposed method can provide reasonable accuracy and efficiency, which is potentially applicable to a number of geotechnical systems.
Keywords
- Interval field, Karhunen–Loève like expansion, Slope stability, Spatial dependency function, Spatial uncertainty
ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
- Geotechnical Engineering and Engineering Geology
- Computer Science(all)
- Computer Science Applications
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In: Computers and geotechnics, Vol. 153, 105060, 01.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Application of interval field method to the stability analysis of slopes in presence of uncertainties
AU - Feng, Chengxin
AU - Faes, Matthias
AU - Broggi, Matteo
AU - Dang, Chao
AU - Yang, Jiashu
AU - Zheng, Zhibao
AU - Beer, Michael
N1 - Funding Information: This work is supported by the China Scholarship Council (CSC). Chengxin Feng, Chao Dang and Jiashu Yang has received financial support from China Scholarship Council (CSC). Zhibao Zheng is grateful to the Alexander von Humboldt Foundation.
PY - 2023/1
Y1 - 2023/1
N2 - Spatial uncertainty of soil parameters has a significant impact on the analysis of slope stability. Interval field analysis is emerging as a complementary tool of the conventional random field method that can take spatial uncertainty into account, which, however, has not been investigated in slope stability analysis. The present paper proposes a new method, named the interval field limit equilibrium method (IFLEM), for assessing the stability of slope in the presence of the interval field. In this method, the modified exponential function is introduced to characterize the spatial uncertainty of the interval field and the Karhunen–Loève-like decomposition is employed to generate the interval field. Then, in a single calculation, the deterministic slope stability analyzed by the Morgenstern–Price approach is implemented in order to estimate the safety factor. Subsequently, the upper and lower bounds of the interval of safety factor are efficiently evaluated by a kind of surrogate-assisted global optimization algorithms, such as Bayesian global optimization used in this study. Finally, the effectiveness of the proposed method is verified by three numerical examples. The results indicate that the proposed method can provide reasonable accuracy and efficiency, which is potentially applicable to a number of geotechnical systems.
AB - Spatial uncertainty of soil parameters has a significant impact on the analysis of slope stability. Interval field analysis is emerging as a complementary tool of the conventional random field method that can take spatial uncertainty into account, which, however, has not been investigated in slope stability analysis. The present paper proposes a new method, named the interval field limit equilibrium method (IFLEM), for assessing the stability of slope in the presence of the interval field. In this method, the modified exponential function is introduced to characterize the spatial uncertainty of the interval field and the Karhunen–Loève-like decomposition is employed to generate the interval field. Then, in a single calculation, the deterministic slope stability analyzed by the Morgenstern–Price approach is implemented in order to estimate the safety factor. Subsequently, the upper and lower bounds of the interval of safety factor are efficiently evaluated by a kind of surrogate-assisted global optimization algorithms, such as Bayesian global optimization used in this study. Finally, the effectiveness of the proposed method is verified by three numerical examples. The results indicate that the proposed method can provide reasonable accuracy and efficiency, which is potentially applicable to a number of geotechnical systems.
KW - Interval field
KW - Karhunen–Loève like expansion
KW - Slope stability
KW - Spatial dependency function
KW - Spatial uncertainty
UR - http://www.scopus.com/inward/record.url?scp=85143515992&partnerID=8YFLogxK
U2 - 10.1016/j.compgeo.2022.105060
DO - 10.1016/j.compgeo.2022.105060
M3 - Article
AN - SCOPUS:85143515992
VL - 153
JO - Computers and geotechnics
JF - Computers and geotechnics
SN - 0266-352X
M1 - 105060
ER -