Assessment of slope stability under uncertain circumstances

Robust Geotechnical Design for Soil Slopes considering Uncertain Parameters

“…O (x 0 , y 0 ) In the proposed study, the uncertainties associated with soil properties are described by the Uncertainty eory [21].…”

“…ey are determined on the basis of the structure of soil layers of the slope, where the highest conceivable value, lowest conceivable value, and most likely value (mean) are employed to build the distributions for different slopes. e following methods for building distributions have been proved effective in the literature [21].…”

“…e uncertain reliability is now introduced in the framework of Uncertainty eory for further evaluation of the slope stability [21]. e uncertain reliability (R e ) is defined as the uncertain measure that the safety factor is greater than one; i.e.,…”

“…e Uncertainty eory has been well developed [17] and widely applied [18][19][20]. Subsequently, Zhou et al [21,22] applied the Uncertainty eory to estimate the stability of a slope. In their uncertain method [21], soil parameters are regarded as uncertain variables, and the distributions of these uncertain variables are built according to the structure of the soil layers of a slope.…”

“…Subsequently, Zhou et al [21,22] applied the Uncertainty eory to estimate the stability of a slope. In their uncertain method [21], soil parameters are regarded as uncertain variables, and the distributions of these uncertain variables are built according to the structure of the soil layers of a slope. e safety factor is defined as the ratio of resisting and acting moments in an uncertain environment, and its expected value is therefore calculated by utilizing the operational laws of the uncertain variables.…”