Full probability design of soil slopes considering both stratigraphic uncertainty and spatial variability of soil properties

Deng, Zhi-Ping; Pan, Min; Niu, Jingtai; Jiang, Shui‐Hua

doi:10.1007/s10064-022-02702-2

Cited by 13 publications

(4 citation statements)

References 46 publications

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“…Ghadrdan et al [52] proposed a simplified method for probabilistic stratigraphic analysis within a finite element software to assess the influence of stratigraphic uncertainty on slope stability. Deng et al [3,53] proposed a slope reliability analysis method considering both the inherent variability of soil parameters and stratigraphic uncertainty. The results showed that these two uncertainties have a non-negligible impact on the reliability of slopes.…”

Section: Introductionmentioning

confidence: 99%

Stability of Unsaturated Soil Slope Considering Stratigraphic Uncertainty

Cao

Wan

Li³

2023

Sustainability

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Stratigraphic uncertainty is widely present in nature, but it has not been well considered in the stability analysis of unsaturated soil slopes in the past. In this study, the stability of the unsaturated soil slope is evaluated based on borehole data considering stratigraphic uncertainty. Firstly, an enhanced coupled Markov chain model is used to simulate stratigraphic uncertainty. Then, a finite element algorithm for automatically calculating the safety factor (FS) and the average groundwater table (AGT) of the unsaturated soil slope is developed. At last, a hypothetical slope located in the stratum from Perth, West Australia is analyzed using the proposed algorithm under different borehole schemes. The results show that with the increase in the borehole number, the statistics of FS and AGT will not monotonically increase or decrease. But the trend is that the mean values of FS and AGT gradually approach and eventually converge to the real values, and the standard deviations of FS and AGT decrease. There is a linear relationship between the standard deviation of FS (or AGT) and the average information entropy. The FS and AGT are negatively correlated considering stratigraphic uncertainty.

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Section: Introductionmentioning

confidence: 99%

Stability of Unsaturated Soil Slope Considering Stratigraphic Uncertainty

Cao

Wan

Li³

2023

Sustainability

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“…(1) Few studies considered the stratigraphic uncertainty which has a substantial impact on the slope stability. 6,36 (2) The anisotropic characteristics of soil properties are ignored in the previous studies. Actually, the anisotropic characteristics are common in nature 7 and have a considerable influence on the slope stability.…”

Section: Introductionmentioning

confidence: 99%

“…However, the aforementioned studies on the stability of unsaturated soil slopes still have some limitations. (1) Few studies considered the stratigraphic uncertainty which has a substantial impact on the slope stability 6,36 . (2) The anisotropic characteristics of soil properties are ignored in the previous studies.…”

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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“…This computational burden may even be higher than the direct Monte Carlo methods, which is contrary to the original purpose of establishing response surfaces. In slope reliability analysis, as the inherent spatial variability of soil properties is one of the most significant geotechnical uncertainties affecting the slope failure mechanism (Christian et al, 1994;Griffiths and Fenton, 2004;Wang et al, 2011;Huang et al, 2013;Li et al, 2015a;Li et al, 2016a;Li et al, 2016b;Xiao et al, 2016;Xiao et al, 2017;Jiang et al, 2018;Li et al, 2019a;Varkey et al, 2019;Huang et al, 2020b;Deng et al, 2022;Nie et al, 2023;Zhang et al, 2023c), the curse of high dimensionality is particularly when the spatial variability of soil parameters is simulated using random fields.…”

Section: Introductionmentioning

confidence: 99%

Adaptive slope reliability analysis method based on sliced inverse regression dimensionality reduction

Zhou,

Xiong,

et al. 2023

Front. Ecol. Evol.

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The response surface model has been widely used in slope reliability analysis owing to its efficiency. However, this method still has certain limitations, especially the curse of high dimensionality when considering the spatial variability of geotechnical parameters. The slice inverse regression dimensionality reduction method is efficient to obtaining the dimensionality-reduction variables from the original soil parameters space, before constructing the response surface. However, the dimensionality reduction process may cause accuracy deficiency due to the loss of variable information. An adaptive slope reliability analysis method is proposed to quantify and correct information loss and errors. Additionally, the slope failure probability based on the response surface in the dimensionality reduction space is modified to an unbiased one based on the finite model in the original space. In this study, two soil slopes considering spatial variability are taken as examples. The results illustrate that this method can effectively reduce the loss of accuracy in the dimensionality reduction process, while obtaining unbiased finite-element-based failure probability effectually. The method addresses the limitation whereby the accuracy of the dimensionality reduction process depends on the sample size and the number of dimensionality-reduction variables. Simultaneously, the proposed method significantly improves the computational efficiency of the sliced inverse regression method and realizes a reasonable dimensionality reduction effect, thereby improving the application of the response surface in practical slope reliability high-dimensional issues.

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Full probability design of soil slopes considering both stratigraphic uncertainty and spatial variability of soil properties

Cited by 13 publications

References 46 publications

Stability of Unsaturated Soil Slope Considering Stratigraphic Uncertainty

Stability of Unsaturated Soil Slope Considering Stratigraphic Uncertainty

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

Adaptive slope reliability analysis method based on sliced inverse regression dimensionality reduction

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