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

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

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  • TU Dortmund University
  • University of Liverpool
  • Tongji University
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Details

Original languageEnglish
Title of host publicationGeo-Risk 2023
EditorsJianye Ching, Shadi Najjar, Lei Wang
PublisherAmerican Society of Civil Engineers (ASCE)
Pages287-297
Number of pages11
Volume4: Advances in Modeling Uncertainty and Variability
EditionGSP 347
ISBN (electronic)9780784484968, 9780784484975, 9780784484982, 9780784484999
Publication statusPublished - 2023
EventGeo-Risk Conference 2023: Advances in Modeling Uncertainty and Variability - Arlington, United States
Duration: 23 Jul 202326 Jul 2023

Publication series

NameGeotechnical Special Publication
Volume346
ISSN (Print)0895-0563

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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Cite this

Application of Interval Field Method to the Stability Analysis of Slopes in the Presence of Uncertainties. / Feng, Chengxin; Faes, Matthias; Broggi, Matteo et al.
Geo-Risk 2023. ed. / Jianye Ching; Shadi Najjar; Lei Wang. Vol. 4: Advances in Modeling Uncertainty and Variability GSP 347. ed. American Society of Civil Engineers (ASCE), 2023. p. 287-297 (Geotechnical Special Publication; Vol. 346).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Feng, C, Faes, M, Broggi, M & Beer, M 2023, Application of Interval Field Method to the Stability Analysis of Slopes in the Presence of Uncertainties. in J Ching, S Najjar & L Wang (eds), Geo-Risk 2023. GSP 347 edn, vol. 4: Advances in Modeling Uncertainty and Variability, Geotechnical Special Publication, vol. 346, American Society of Civil Engineers (ASCE), pp. 287-297, Geo-Risk Conference 2023: Advances in Modeling Uncertainty and Variability, Arlington, United States, 23 Jul 2023. https://doi.org/10.1061/9780784484999.030
Feng, C., Faes, M., Broggi, M., & Beer, M. (2023). Application of Interval Field Method to the Stability Analysis of Slopes in the Presence of Uncertainties. In J. Ching, S. Najjar, & L. Wang (Eds.), Geo-Risk 2023 (GSP 347 ed., Vol. 4: Advances in Modeling Uncertainty and Variability, pp. 287-297). (Geotechnical Special Publication; Vol. 346). American Society of Civil Engineers (ASCE). https://doi.org/10.1061/9780784484999.030
Feng C, Faes M, Broggi M, Beer M. Application of Interval Field Method to the Stability Analysis of Slopes in the Presence of Uncertainties. In Ching J, Najjar S, Wang L, editors, Geo-Risk 2023. GSP 347 ed. Vol. 4: Advances in Modeling Uncertainty and Variability. American Society of Civil Engineers (ASCE). 2023. p. 287-297. (Geotechnical Special Publication). doi: 10.1061/9780784484999.030
Feng, Chengxin ; Faes, Matthias ; Broggi, Matteo et al. / Application of Interval Field Method to the Stability Analysis of Slopes in the Presence of Uncertainties. Geo-Risk 2023. editor / Jianye Ching ; Shadi Najjar ; Lei Wang. Vol. 4: Advances in Modeling Uncertainty and Variability GSP 347. ed. American Society of Civil Engineers (ASCE), 2023. pp. 287-297 (Geotechnical Special Publication).
Download
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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-Lo{\`e}ve-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.",
author = "Chengxin Feng and Matthias Faes and Matteo Broggi and Michael Beer",
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AU - Feng, Chengxin

AU - Faes, Matthias

AU - Broggi, Matteo

AU - Beer, Michael

N1 - Publisher Copyright: © ASCE.

PY - 2023

Y1 - 2023

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. 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.

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. 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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