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

Jiang, Shui‐Hua; Liu, Xian; Huang, Jinsong; Zhou, Chuangbing

doi:10.1002/nag.3414

Cited by 22 publications

(9 citation statements)

References 54 publications

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“…As a complementary consideration, the reliability-based design methods have been increasingly utilized by quantitatively incorporating uncertain parameters under a probabilistic framework. [3][4][5] Compared with deterministic design optimization, the reliability-based design optimization (RBDO) necessitates an additional algorithm to evaluate the reliability constraints that are contingent upon the specific limit state functions (LSFs) and random variables. In recent decades, various RBDO methods have been innovatively developed, and these can be systematically classified into three primary categories 6 : (1) The two-level approaches, such as the reliability index approach (RIA) 7,8 and performance measure approach (PMA).…”

Section: Introductionmentioning

confidence: 99%

Geotechnical reliability‐based design optimization updating under changing design scenarios

Wang,

2024

Num Anal Meth Geomechanics

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In the context of geotechnical uncertainty characterization, the reliability‐based design optimization (RBDO) provides an effective means to achieve the most balanced design outcome between the targeted safety and the risk‐based cost planning. As a common practice, the geotechnical RBDO is conducted on the premise of prescribed statistical information of those uncertain parameters. Nevertheless, the uncertain geotechnical parameters are usually subject to amendment resulting from further site investigation. In other words, changing design scenarios must be properly handled in advanced geotechnical RBDO. Thus, in this study, a novel reliability updating method using a sample reweighting technique that requires only a single simulation run is developed for RBDO. Simultaneously, the RBDO is readily extendable to RBDO updating under changing design scenarios while avoiding any further re‐evaluation of the performance functions. The proposed RBDO updating method allows for the consideration of a continuous design space encompassing an infinite number of feasible designs, whereas the existing simulation‐based method can only consider a finite number of feasible designs in a discrete design space. Moreover, the efficiency and flexibility of the proposed RBDO updating method are illustrated through a standard RBDO test problem and a practical rock slope design example, where the changing design scenarios of different means, standard deviations, correlation coefficient, and distributions are respectively studied.

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Section: Introductionmentioning

confidence: 99%

Geotechnical reliability‐based design optimization updating under changing design scenarios

Wang,

2024

Num Anal Meth Geomechanics

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“…Most studies focus on the dry or saturated soil slope stability analysis. [15][16][17][18][19][20][21] In the studies on the stability analysis of unsaturated soil slopes, some researchers only considered the spatial variability of saturated hydraulic conductivity k. [22][23][24][25][26] For example, Dou et al 27,28 proposed stationary and non-stationary random variable models to characterize the variability of saturated hydraulic conductivity and established a probabilistic framework of unsaturated soil slopes based on Monte Carlo Simulation method. Le et al 29,30 took into account the spatial variability of saturated hydraulic conductivity k, and studied its influence on the stability and sliding mass size of unsaturated soil slope under constant rainfall.…”

Section: Introductionmentioning

confidence: 99%

“…In terms of the stability analysis of slopes, researchers have considered the spatial variability of soil properties nowadays. Most studies focus on the dry or saturated soil slope stability analysis 15–21 . In the studies on the stability analysis of unsaturated soil slopes, some researchers only considered the spatial variability of saturated hydraulic conductivity k 22–26 .…”

Section: Introductionmentioning

confidence: 99%

Stability of unsaturated soil slope considering stratigraphic uncertainty and rotated anisotropy of soil properties

Cao,

Zhou,

Shen

2023

Num Anal Meth Geomechanics

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The stratigraphic uncertainty and rotated anisotropy of soil properties exist widely in nature. Recent studies have shown that the slope stability was significantly influenced by these two uncertainties. However, there is no proper method for simulating these two uncertainties at the same time, and the influence of the two uncertainties has not been considered in previous unsaturated soil slope stability analysis. This paper aims to propose a coupled method for characterizing the stratigraphic uncertainty and rotated anisotropy of soil properties, and investigate the unsaturated soil slope stability considering the two uncertainties. Through a slope case, the proposed method for characterizing the two uncertainties is examined. The effect of rotational angle on the slope stability and groundwater table is studied. In addition, four different uncertainty considerations are chosen to compare their influence on the slope stability and groundwater table. The results show that the proposed method can well characterize the two uncertainties at the same time. The rotational anisotropy of soil properties has a substantial impact on the slope stability and groundwater table. The rotational angles corresponding to the maximum and minimum reliability index of slope depend on the uncertainty considerations in the slope stability analysis. The slope reliability index only considering stratigraphic uncertainty is the highest, and the slope reliability index considering stratigraphic uncertainty and rotated anisotropy of soil properties is the lowest.

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“…RFEM has been applied in many different areas of geotechnical engineering, such as bearing capacity under foundation, slope stability, pile foundation, etc. (Smith and Griffiths, 1998;Griffiths and Lane, 1999;Fenton and Griffiths, 2008;Jiang et al, 2022a;Jiang et al, 2022b;Nguyen et al, 2022;Shu et al, 2023). It allows the soil properties to be changed spatially but still correlated with the neighbouring soils (Fenton and Vanmarcke, 1990;Fenton and Griffiths, 2007).…”

Section: Introductionmentioning

confidence: 99%

Effect of soil anisotropy and variability on the stability of undrained soil slope

Nguyen

Rahman²,

Karim³

2023

Front. Built Environ.

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Soil is a naturally heterogeneous material and can show significant spatial variation in strength and other properties. For silty and clayey soils, these variations are often more pronounced. Despite such variation, many past studies considered these soils as homogeneous and only considered a single set of soil parameters. This may lead to underestimation of the failure potential of geo-structure such as natural slopes, water retaining dams, retaining walls, etc. A finite element method considering soil variability should be an ideal tool to investigate the behaviour of these soils. This study adopted a 2D random finite element method to evaluate the effect of such variability on slope stability. The spatial variability was implemented by using the coefficient of variation (COV) and the spatial correlation length (θ) for cohesion. It was found that the soil slope with higher COV would have a higher chance of failure, whereas the soil slope with less COV might not show any failure. In addition, the soil with a higher θ, in general, show less potential of failure. In the literature, most studies considered an isotropic condition for the soil, i.e., θ in x and y directions are the same θx = θy, which is not realistic. Therefore, the soil anisotropy (i.e., θx ≠ θy) was considered carefully in this study. It was found that the probability of failure for anisotropic soil might be significantly higher than the isotropic soil.

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

Cited by 22 publications

References 54 publications

Geotechnical reliability‐based design optimization updating under changing design scenarios

Geotechnical reliability‐based design optimization updating under changing design scenarios

Stability of unsaturated soil slope considering stratigraphic uncertainty and rotated anisotropy of soil properties

Effect of soil anisotropy and variability on the stability of undrained soil slope

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