Seismic performance of slopes can be assessed through displacement-based procedures where earthquake-induced displacements are usually computed following Newmark-type calculations. These can be adopted to perform a parametric integration of earthquake records to evaluate permanent displacements for different slope characteristics and seismic input properties. Several semi-empirical relationships can be obtained for different purposes: obtaining site-specific displacement hazard curves following a fully-probabilistic approach, to assess the seismic risk associated with the slope; providing semi-empirical models within a deterministic framework, where the seismic-induced permanent displacement is compared with threshold values related to different levels of seismic performance; calibrating the seismic coefficient to be used in pseudo-static calculations, where a safety factor against limit conditions is computed. In this paper, semi-empirical relationships are obtained as a result of a parametric integration of an updated version of the Italian strong-motion database, that, in turn, is described and compared to older versions of the database and to well-known ground motion prediction equations. Permanent displacement is expressed as a function of either ground motion parameters, for a given yield seismic coefficient of the slope, or of both ground motion parameters and the seismic coefficient. The first are meant to be used as a tool to develop site-specific displacement hazard curves, while the last can be used to evaluate earthquake-induced slope displacements, as well as to calibrate the seismic coefficient to be used in a pseudo-static analysis. Influence of the vertical component of seismic motion on these semi-empirical relationships is also assessed.

可以通过基于位移的程序来评估斜坡的抗震性能，其中通常根据Newmark型计算来计算地震引起的位移。这些可以用来执行地震记录的参数积分，以评估不同坡度特征和地震输入特性的永久位移。可以出于不同目的获得几种半经验关系：按照完全概率方法获得特定地点的位移危险曲线，以评估与斜坡相关的地震风险；在确定性框架内提供半经验模型，将地震引起的永久位移与与不同地震性能水平相关的阈值进行比较；校准将在拟静力计算中使用的地震系数，其中计算了针对极限条件的安全系数。在本文中，通过对意大利强运动数据库的更新版本进行参数集成，获得了半经验关系，然后对它进行了描述，并将其与数据库的较旧版本以及已知基础进行了比较。运动预测方程。对于给定的边坡屈服地震系数，永久位移表示为地震动参数的函数，或者是地震动参数和地震系数的函数。第一个用于开发特定地点的位移危险曲线，而最后一个可用于评估地震引起的边坡位移，以及校准在拟静力分析中使用的地震系数。还评估了地震运动的垂直分量对这些半经验关系的影响。