A new formula for predicting probabilistic seismic displacement of reinforced slope with one row of piles

Predicting earthquake-induced displacement helps assess earthquake hazards and design slopes. This paper presented a new formula to predict the probabilistic seismic displacement of reinforced slopes with one row of piles. Based on Newmark analysis, a numerical slide model was used to calculate the displacement of pile-reinforced slopes. Results of 1170 numerical simulations and statistical analysis were used to present the formula using real strong-ground motions data. In this study, a parametric study was undertaken to investigate the effects of reinforced slope properties and motions characteristics on slope displacement. It was concluded that the piles should be installed in the upper-middle part of the slope to achieve minimum displacement, and there is an optimal value for pile length. Moreover, it was found that coupled analysis computes higher values for the displacement of slopes than rigid or decoupled analysis. The resulting statistics were used to construct a cumulative distribution function for normalized slope displacement.