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Journal ArticleDOI

Probabilistic Analysis of Soil-Water Characteristic Curves

TLDR
In this article, a lognormal random vector is used to model the curve-fitting parameters of the soil-water characteristic curve (SWCC) and the engineering impact of adopting a probabilistic SWCC is briefly discussed by studying the uncertainty of unsaturated shear strength due to the uncertainty in SWCC.
Abstract
Direct measurement of the soil-water characteristic curve (SWCC) is costly and time consuming. A first-order estimate from statistical generalization of experimental data belonging to soils with similar textural and structural properties is useful. A simple approach is to fit the data with a nonlinear function and to construct an appropriate probability model of the curve-fitting parameters. This approach is illustrated using sandy clay loam, loam, loamy sand, clay, and silty clay data in Unsaturated Soil Database. This paper demonstrates that a lognormal random vector is suitable to model the curve-fitting parameters of the SWCC. Other probability models using normal, gamma, Johnson, and other distributions do not provide better fit than the proposed lognormal model. The engineering impact of adopting a probabilistic SWCC is briefly discussed by studying the uncertainty of unsaturated shear strength due to the uncertainty of SWCC.

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Citations
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Journal ArticleDOI

Copula-based approaches for evaluating slope reliability under incomplete probability information

TL;DR: Three copula-based approaches are proposed to evaluate slope reliability under incomplete probability information and can effectively reduce the dispersion in probability of slope failure and significantly improve the estimate of probability of slopes failure.
Journal ArticleDOI

Efficient reliability analysis of earth dam slope stability using extreme gradient boosting method

TL;DR: In this paper, an efficient Extreme Gradient Boosting (XGBoost)-based reliability analysis approach for evaluating the earth dam slope failure probability was proposed. But, it suffers from a known criticism of extensive computational requirements and poor efficiency, which hinders its application in the reliability analysis of earth Dam slope stability.
Journal ArticleDOI

Probabilistic stability analysis of earth dam slope under transient seepage using multivariate adaptive regression splines

TL;DR: In this paper, an efficient probabilistic analysis approach by integrating a soft computing algorithm of multivariate adaptive regression splines (MARS) was proposed to evaluate the earth dam slope failure probability with satisfactory accuracy and efficiency.
Journal ArticleDOI

Bivariate simulation using copula and its application to probabilistic pile settlement analysis

TL;DR: In this paper, a procedure for modeling the joint probability distribution of bivariate uncertain data with a nonlinear dependence structure was proposed for serviceability limit state reliability analysis of piles, and four load-test datasets of load-displacement curves of piles were used to illustrate the proposed procedure.
Journal ArticleDOI

Variability of residual soil properties

TL;DR: In this paper, the authors used confidence interval approach and coefficient of variation (COV) to characterize the residual soil properties with depth and found that residual soils from sedimentary Jurong Formation, Bukit Timah Granite and Old Alluvium are coarser than residual soil from SDF.
References
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Journal ArticleDOI

A closed-form equation for predicting the hydraulic conductivity of unsaturated soils

TL;DR: Van Genuchten et al. as mentioned in this paper proposed a closed-form analytical expression for predicting the hydraulic conductivity of unsaturated soils based on the Mualem theory, which can be used to predict the unsaturated hydraulic flow and mass transport in unsaturated zone.
Book

Continuous univariate distributions

TL;DR: Continuous Distributions (General) Normal Distributions Lognormal Distributions Inverse Gaussian (Wald) Distributions Cauchy Distribution Gamma Distributions Chi-Square Distributions Including Chi and Rayleigh Exponential Distributions Pareto Distributions Weibull Distributions Abbreviations Indexes
Journal ArticleDOI

A new model for predicting the hydraulic conductivity of unsaturated porous media

Y. Mualem
TL;DR: In this article, a simple analytic model is proposed which predicts the unsaturated hydraulic conductivity curves by using the moisture content-capillary head curve and the measured value of the hydraulic conductivities at saturation.
Book

Applied Statistics and Probability for Engineers

TL;DR: Montgomery and Runger's Engineering Statistics text as discussed by the authors provides a practical approach oriented to engineering as well as chemical and physical sciences by providing unique problem sets that reflect realistic situations, students learn how the material will be relevant in their careers.
Book

Probability Concepts in Engineering Planning and Design

TL;DR: This research attacked the mode confusion problem by developing a modeling framework called “model schizophrenia” to estimate the posterior probability of various modeled errors.
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