Advances in reliability and risk analyses of slopes in spatially variable soils: A state-of-the-art review

Jiang, Shui‐Hua; Huang, Jingsong; Griffiths, D. V.; Deng, Zhi-Ping

doi:10.1016/j.compgeo.2021.104498

Cited by 117 publications

(22 citation statements)

References 150 publications

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“…[4][5][6] These uncertainties are rarely accounted for at the same time in the stability designs of slopes. 7,8 Various probabilistic methods which can take the spatial variability of soil properties into account have received increasing attention and been widely applied to the reliability-based design (RBD) in geotechnical engineering during the last decades. 5,[9][10][11][12][13][14] For example, Gong et al 15 presented a fuzzy set-based robust geotechnical design approach for the design of earth slopes wherein the uncertain soil parameters are represented as fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the slope engineering is fraught with the measurement and transformation uncertainties owing to random testing errors, and imperfection and simplification of geologic or geotechnical models 4–6 . These uncertainties are rarely accounted for at the same time in the stability designs of slopes 7,8 …”

Section: Introductionmentioning

confidence: 99%

“…1 39.4 38.7 38.9 39.0 39.0 39.5 39.4 39.5 39.6 39.5 39.9 39.8 39.9 39.8 37 8. 38.7 37.2 37.5 1.07 20.0 1 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.3 38.3 37.4 37.5 37.4 37.3 38.0 38.2 38.6 39.0 39.1 39.6 39.6 39.8 39.6 37.6 38.6 37.1 37.4 0.39 14.7 2 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.2 38.1 37.1 37.1 37.2 37.4 38.4 38.7 39.0 39.3 39.2 39.7 39.7 39.8 39.6 37.6 38.6 37.1 37.4 0.43 17.5 3 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.2 38.2 37.2 37.3 37.3 37.4 38.2 38.5 38.9 39.2 39.2 39.7 39.7 39.8 39.6 37.6 38.6 37.1 37.4 0.43 18.2 4 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.3 38.3 37.3 37.4 37.4 37.4 38.1 38.3 38.8 39.1 39.2 39.6 39.6 39.8 39.6 37.6 38.6 37.1 37.4 0.43 18.4 5 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.3 38.3 37.3 37.4 37.4 37.4 38.1 38.3 38.8 39.1 39.2 39.6 39.6 39.8 39.6 37.6 38.6 37.1 37.4 0.43 18.4 6 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.3 38.3 37.3 37.4 37.4 37.4 38.1 38.3 38.8 39.1 39.2 39.6 39.6 39.8 39.6 37.6 38.6 37.1 37.4 0.43 18.3 7 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.3 38.3 37.3 37.4 37.4 37.4 38.1 38.3 38.8 39.1 39.2 39.6 39.6 39.8 39.6 37.6 38.6 37.1 37.4 0.43 18.4 8 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.3 38.3 37.3 37.4 37.4 37.4 38.1 38.3 38.8 39.1 39.2 39.6 39.6 39.8 39.6 37.6 38.6 37.1 37.4 0.43 18.3 9 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.3 38.3 37.3 37.4 37.4 37.4 38.1 38.3 38.8 39.1 39.2 39.6 39.6 39.8 39.6 37.6 38.6 37.1 37.4 0.43 18.4 10 36.3 41.0 41.1 41.5 41.4 41.1 41.4 41.2 40.4 39.8 39.5 39.3 38.3 37.3 37.4 37.4 37.4 38.1 38.3 38.8 39.1 39.2 39.6 39.6 39.8 39.6 37.6 38.6 37.1 37.4 0.43 18.4…”

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confidence: 99%

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Efficient reliability‐based design of slope angles in spatially variable soils with field data

Jiang

Liu

Huang

et al. 2022

Num Anal Meth Geomechanics

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Deterministic single factor of safety method cannot explicitly account for the influences of various sources of uncertainties (e.g., spatial variability of geomaterials, measurement and transformation uncertainties) in stability design of slopes. Many probabilistic methods have been applied to the reliability‐based design (RBD) of slopes, but they typically require performing numerous deterministic slope stability analyses. In this paper, an efficient reliability‐based design method for spatially varying slopes based on field data is proposed. Here, the RBD of a slope angle is concerned. Reliability‐based design is implemented using an inverse First Order Reliability Method (inverse FORM ‐ IFORM). A sandy slope and a cohesive slope are investigated as examples, respectively, to illustrate the proposed method. The results indicate that the proposed method can quickly obtain rational design schemes of slope angles accounting for the spatial variability of soil properties, measurement and transformation uncertainties based on the field data. It can act as a practical and effective tool for the RBD of slopes in two‐dimensional spatially variable soils. Additionally, it is found that the random field mesh size affects the RBD results significantly, while the probability distribution and horizontal autocorrelation of soil parameters have slight influences on the RBD results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Efficient reliability‐based design of slope angles in spatially variable soils with field data

Jiang

Liu

Huang

et al. 2022

Num Anal Meth Geomechanics

Self Cite

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“…Various works have also considered the numerical computation of limit loads in a stochastic setting such as (Yang et al, 2012;Staat, 2014) or (Bjerager and Ditlevsen, 1983;Huang et al, 2013;Kasama and Whittle, 2016;Ali, 2016) for geotechnical applications. For instance, the reader can refer to (Jiang et al, 2022) for a recent review of slope stability in spatially variable soil…”

Section: Introductionmentioning

confidence: 99%

Robust limit analysis theory for computing worst-case limit loads under uncertainties

Bleyer¹,

Leclère²

2022

Preprint

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This work proposes a novel theoretical framework of robust limit analysis i.e. the computation of limit loads of structures in presence of uncertainties using limit analysis and robust optimization theories. We first derive generic robust limit analysis formulations in the case of uncertain material strength properties. We discuss various ways of modeling uncertain strength properties and introduce the notion of robust strength criteria. We formulate static and adjustable robust counterparts of the corresponding uncertain limit analysis problems. Depending on the chosen strength uncertainty model, we also discuss tractable reformulations or approximations which can be implemented numerically using conic programming solvers. Building upon these results, we also derive robust limit analysis formulations in presence of loading uncertainties. Finally, various applications illustrate the versatility of the proposed framework including the derivation of a robust Mohr-Coulomb criterion with uncertain cohesion and friction angle, the computation of limit load of a structure subject to the partial loss of some components or the limit load of a truss structure under multiple load uncertainties.

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“…However, natural soils are heterogeneous [11,12]. It is the prerequisite for an accurate analysis to incorporate soil heterogeneity in the slope stability analysis [13,14]. Since the 1970s, probabilistic analysis of slope stability has been developed and gradually replaced the traditional single FOS method [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Analytical Analysis of Infinite Heterogeneous Slope Stability considering Suction Influence

2022

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Soil heterogeneity in an infinite unsaturated slope increases the difficulty of analysing its stability. A common method of modelling the spatial variability in the slope stability analysis is to use random fields together with Monte Carlo simulation, but this requires an impressive amount of computational efforts. To reduce the computing time, this paper develops an analytical approach to study the stability of infinite heterogeneous unsaturated slopes. The analytical method provides a newly time-efficient way of analysing such kinds of slopes. It has been used to investigate the stability of four different kinds of unsaturated soil slopes. Meanwhile, the influences of the correlation between the strength parameters and the autocorrelation length of the strength parameters are investigated. The analysed results show that the suction has influences on the distribution of the FOS for both homogeneous slopes and heterogeneous slopes. In addition, the correlation coefficient between the strength parameters and the autocorrelation length of the strength parameters affects the mean and standard deviation of FOS for homogeneous slopes and the probability of failure for heterogeneous slopes.

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Advances in reliability and risk analyses of slopes in spatially variable soils: A state-of-the-art review

Cited by 117 publications

References 150 publications

Efficient reliability‐based design of slope angles in spatially variable soils with field data

Efficient reliability‐based design of slope angles in spatially variable soils with field data

Robust limit analysis theory for computing worst-case limit loads under uncertainties

Analytical Analysis of Infinite Heterogeneous Slope Stability considering Suction Influence

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