Probabilistic assessment of an earth dam stability design using the adaptive polynomial chaos expansion

Guo, Xingwu; Sun, Qiangqiang; Dias, Daniel; Antoinet, Eric

doi:10.1007/s10064-020-01847-2

Cited by 12 publications

(3 citation statements)

References 59 publications

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“…Figures [12][13][14] show the results of the changes relative to the initial condition (Table 3). Figure 12 shows the variations in total seepage through Sections 1 and 2.…”

Section: E Effect Of Different Lengths Of Horizontal Drainagementioning

confidence: 99%

Reduction of Seepage Risks by Investigation into Different Lengths and Positions for Cutoff Wall and Horizontal Drainage (Case Study: Sattarkhan Dam)

Brontowiyono

Hammid²,

Jebur³

et al. 2022

Advances in Civil Engineering

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Seepage from the earth dam’s body reduces the amount of water in the dam’s reservoir and threatens its stability. In this paper, the earth-type Sattarkhan Dam on the Aharchai River has been investigated. In this regard, the SEEP/W model from the GeoStudio 2018 software suite was used for modeling. This study examines the effects of various lengths and positions of cutoff wall and horizontal drainage on seepage, uplift pressure, and exit gradient. Increasing the length of the cutoff wall reduces seepage in both sections, with a more significant effect on Section 2; it also decreases the uplift pressure and the exit gradient. Changing the position of the cutoff wall has a significant effect on seepage fluctuations in Section 1 but has no effect on seepage in Section 2; in positions 2 to 7, the uplift pressure values are nearly identical, and the exit gradient is most significant at position 1 and least at position 2. Increasing the horizontal drainage’s length increases seepage, reduces uplift pressure, and increases the exit gradient. The closer proximity of the horizontal drainage position to the dam’s core increases seepage and decreases uplift pressure and exit gradient. Finally, it is concluded that the construction of a cutoff wall and horizontal drainage with appropriate lengths and positions reduces risk and improves the stability of earth dams.

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“…Figures [12][13][14] show the results of the changes relative to the initial condition (Table 3). Figure 12 shows the variations in total seepage through Sections 1 and 2.…”

Section: E Effect Of Different Lengths Of Horizontal Drainagementioning

confidence: 99%

Reduction of Seepage Risks by Investigation into Different Lengths and Positions for Cutoff Wall and Horizontal Drainage (Case Study: Sattarkhan Dam)

Brontowiyono

Hammid²,

Jebur³

et al. 2022

Advances in Civil Engineering

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show abstract

“…In recent decades, the topic of probabilistic analysis on slope stability has attracted much attention in academia, such as the subset simulations, the first-order reliability method, the importance sampling method, and the classical response surface methods (RSM). The mathematical models used for building an RSM include polynomial chaos expansion [14,15], support vector machine [6,16], multivariate adaptive regression splines [17], and Kriging [18]. The method of the sampling method, such as the Monte Carlo method, is subjected to low computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

“…The first order reliability method requires an explicit expression of the limit-state function, which is, however, not always available. The method of sparse polynomial chaos expansions combined with Monte Carlo Simulations has been widely used in probabilistic analysis of classical geotechnical problems, such as slopes, tunnels, retaining walls, and foundations [14,15,19]. The benefit of the sparse polynomial chaos expansions (SPCE) is that it has higher computational efficiency compared with common polynomial chaos expansions, making it applicable to high-dimensional problems with accurate results of probabilistic analysis.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Seismic Coefficient Uncertainty on Pseudo-Static Slope Stability: A Probabilistic Sensitivity Analysis

Sun

et al. 2021

Sustainability

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The method of pseudo-static analysis has been widely used to perform seismic slope stability, in which a seismic coefficient is used to represent the earthquake shaking effect. However, it is important but difficult to select the magnitude of seismic coefficients, which are inevitably subjected to different levels of uncertainties. This paper aimed to study the influences of seismic coefficient uncertainties on pseudo-static slope stability from the perspective of probabilistic sensitivity analysis. The deterministic critical slope height was estimated by the method of upper-bound limit analysis with the method of pseudo-static analysis. The soil shear strength parameters, the slope geometrical parameters (including slope inclinations, slope heights, and the slope widths), the horizontal seismic acceleration coefficient, and the unit weight of soil masses were considered as random variables. The influences of their uncertainty degrees, the correlation relations, and the distribution types of random variables on probabilistic density functions, failure probabilities, and sensitivity analysis were discussed. It was shown that the uncertainty degrees greatly impact the probability density distributions of critical slope heights, the computed failure probabilities, and Sobol’ index, and the horizontal seismic coefficient was the second most important variable compared to the soil shear strength parameters.

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Efficient slope reliability analysis using adaptive classification-based sampling method

Liu

Yang

et al. 2021

Bull Eng Geol Environ

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Probabilistic assessment of an earth dam stability design using the adaptive polynomial chaos expansion

Cited by 12 publications

References 59 publications

Reduction of Seepage Risks by Investigation into Different Lengths and Positions for Cutoff Wall and Horizontal Drainage (Case Study: Sattarkhan Dam)

Reduction of Seepage Risks by Investigation into Different Lengths and Positions for Cutoff Wall and Horizontal Drainage (Case Study: Sattarkhan Dam)

The Effects of Seismic Coefficient Uncertainty on Pseudo-Static Slope Stability: A Probabilistic Sensitivity Analysis

Efficient slope reliability analysis using adaptive classification-based sampling method

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