Semi-empirical relationships to assess the seismic performance of slopes from an updated version of the Italian seismic

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Semi‑empirical relationships to assess the seismic performance of slopes from an updated version of the Italian seismic database D. Gaudio1,2   · R. Rauseo1 · L. Masini1   · S. Rampello1  Received: 9 April 2020 / Accepted: 16 August 2020 © The Author(s) 2020

Abstract 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 strongmotion 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. Keywords  Italian seismic database · Permanent displacement · Semi-empirical relationship · Pseudo-static approach · Seismic coefficient · Slope

* D. Gaudio [email protected] Extended author information available on the last page of the article

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Bulletin of Earthquake Engineering

1 Introduction Stability of a slope subjected to seismic loading depends on slope and earthquake characteristics. Attainment of limit conditions can be mainly ascribed to seismic-induced inertial forces acting in the unstable mass and/or to a decrease of the shear strength induced by pore water pressure build-up (Di Filippo et  al. 2019) and cyclic degradation of shear strength parameters (Bandini et al. 2015). Inertial forces induce permanent displacements accumulating until the end of the seismic event, while a decrease in the shear strength can result in slope collapse occurring in post-seismic conditions. Focusing on the effects of seismic-induced inertial forces, seismic performance of slopes ca