On the use of copulas in geotechnical engineering: A tutorial and state-of-the-art-review

JJ Sepúlveda-García, DA Alvarez - Archives of computational methods in …, 2022 - Springer
Copulas are functions that couple marginal distribution in order to generate joint probability
distribution functions; in this way, they model the dependence among random variables …

Three-dimensional reliability analysis of seismic slopes using the copula-based sampling method

ZX Xu, XP Zhou - Engineering Geology, 2018 - Elsevier
Geotechnical parameters are often considered to be independent variables in the reliability
analysis of slopes, however, some variables are correlated. In this study, the copula-based …

Robust estimation of correlation coefficients among soil parameters under the multivariate normal framework

J Ching, KK Phoon, DQ Li - Structural Safety, 2016 - Elsevier
Based on limited amount of multivariate soil data Y, it is only possible to reliably estimate the
marginal distributions and the correlations. A common practical approach of constructing the …

Probability density function modelling and credible region construction for multivariate, asymmetric, and multimodal distributions of geotechnical data

ZT Zhao, HQ Mu, KV Yuen - Structural Safety, 2024 - Elsevier
Geotechnical data are typically Multivariate, Uncertain, and Irregular (MUI), so the probability
distribution of geotechnical data is Multivariate, Asymmetric, and Multimodal (MAM) …

Experimental study of effects of shearing on proppant embedment behaviour of tight gas sandstone reservoirs

Y Tang, PG Ranjith, B Wu - Journal of Petroleum Science and Engineering, 2019 - Elsevier
Proppants play an important role in propping fractures open after pumping ceases during
horizontal drilling and hydraulic fracturing. However, some proppant degradation …

Multivariate joint probability function of earthquake ground motion prediction equations based on vine copula approach

Y Cheng, J Du, H Ji - Mathematical Problems in Engineering, 2020 - Wiley Online Library
In the structural earthquake engineering, a single parameter is often not sufficient enough to
depict the severity of ground motions, and it is thus necessary to use multiple ones. In this …

The method of solving structural reliability with multiparameter correlation problem

J Du, H Li, Y He - Mathematical Problems in Engineering, 2017 - Wiley Online Library
Correlation among variables must be considered to accurately reflect the level of structure
reliability. This problem has referential value to engineering practice and has attracted …

Novel intelligent approach for peak shear strength assessment of rock joints on the basis of the relevance vector machine

C Xia, M Huang, X Qian, C Hong… - Mathematical Problems …, 2019 - Wiley Online Library
This study mainly establishes a novel intelligent assessment model for peak shear strength
of rock joints based on the relevance vector machine (RVM). RVM is a state‐of‐the‐art soft …

Copula‐Based Slope Reliability Analysis Using the Failure Domain Defined by the g‐Line

X Xu, J Li, J Gong, H Deng… - Mathematical Problems in …, 2016 - Wiley Online Library
The estimation of the cross‐correlation of shear strength parameters (ie, cohesion and
internal friction angle) and the subsequent determination of the probability of failure have …

The shear strength of the nature loess joint: a case study in Shaanxi Province

X Liu, X Zheng, WC Cheng… - Journal of Testing …, 2019 - asmedigitalcollection.asme.org
Shear strength of the loess joint has significant influence on the stability of loess engineering
with joints.“Joint” is the weak structural plane of loess, and its shear strength determines the …