Chapter
Jul 20, 2023

Application of Interval Field Method to the Stability Analysis of Slopes in the Presence of Uncertainties

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. This approach 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 (BGO) used in this study. Finally, the effectiveness of the proposed method is verified by the numerical example. The results indicate that the proposed method can provide reasonable accuracy and efficiency, which is potentially applicable to a number of geotechnical systems.

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REFERENCES

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Go to Geo-Risk 2023
Geo-Risk 2023
Pages: 287 - 297

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Published online: Jul 20, 2023

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Chengxin Feng [email protected]
1Institute for Risk and Reliability, Leibniz Univ. Hannover, Hannover, Germany. Email: [email protected]
Matthias Faes [email protected]
2Chair for Reliability Engineering, TU Dortmund Univ., Dortmund. Email: [email protected]
Matteo Broggi [email protected]
3Institute for Risk and Reliability, Leibniz Univ. Hannover, Hannover, Germany. Email: [email protected]
Michael Beer [email protected]
4Institute for Risk and Reliability, Leibniz Univ. Hannover, Hannover, Germany; Institute for Risk and Uncertainty and School of Engineering, Univ. of Liverpool, Liverpool, UK; International Joint Research Center for Resilient Infrastructure and International Joint Research Center for Engineering Reliability and Stochastic Mechanics, Tongji Univ., Shanghai, PR China. Email: [email protected]

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