Application of interval field method to the stability analysis of slopes in presence of uncertainties

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Chengxin Feng
  • Matthias Faes
  • Matteo Broggi
  • Chao Dang
  • Jiashu Yang
  • Zhibao Zheng
  • Michael Beer

Externe Organisationen

  • Technische Universität Dortmund
  • Tongji University
  • The University of Liverpool
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer105060
FachzeitschriftComputers and geotechnics
Jahrgang153
Frühes Online-Datum14 Okt. 2022
PublikationsstatusVeröffentlicht - 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.

ASJC Scopus Sachgebiete

Zitieren

Application of interval field method to the stability analysis of slopes in presence of uncertainties. / Feng, Chengxin; Faes, Matthias; Broggi, Matteo et al.
in: Computers and geotechnics, Jahrgang 153, 105060, 01.2023.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Feng C, Faes M, Broggi M, Dang C, Yang J, Zheng Z et al. Application of interval field method to the stability analysis of slopes in presence of uncertainties. Computers and geotechnics. 2023 Jan;153:105060. Epub 2022 Okt 14. doi: 10.1016/j.compgeo.2022.105060
Feng, Chengxin ; Faes, Matthias ; Broggi, Matteo et al. / Application of interval field method to the stability analysis of slopes in presence of uncertainties. in: Computers and geotechnics. 2023 ; Jahrgang 153.
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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, 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–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 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.",
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note = "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. ",
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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.

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