Impact of copula selection on geotechnical reliability under incomplete probability information

Evaluating suction profile in a vegetated slope considering uncertainty in transpiration

“…The theory has been applied to geotechnical problems [19][20][21][22][23][24][25][26][27]. A random field is described through the mean and variance of a random variable, as well as the scale of fluctuation and correlation structure of the variable describing the extent to which values of the variable at two points are correlated.…”

Long-term performance assessment and design of offshore structures

“…Related studies have shown that the failure probability associated with different copulas can differ considerably for the same considered problem [59]. For instance, Tang et al [52] found that a Gaussian copula applied in the modeling of soil cohesion and friction angle for slope stability problems can lead to smaller failure probabilities compared to other copulas. In offshore engineering the selection of a copula type can be critical for the structural design, for reliable prognosis of the evolution of coastal environments, and for proper decision-making in marine operations [11].…”

Probabilistic analysis of a coal mine roadway including correlation control between model input parameters

“…It has been widely observed, and is now accepted, that due to the linearization of the MohrCoulomb failure envelope, a negative correlation exists between c and φ for both soil and rock [40]. Measurements made on many different materials have shown this relationship [40][41][42].…”

“…Measurements made on many different materials have shown this relationship [40][41][42]. The coefficient of linear correlation gives a measure of the dependence of one random variable, x, on another, y.…”