Characteristics of spatial variability of shear wave velocity on seismic response of slopes
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ORIGINAL PAPER
Characteristics of spatial variability of shear wave velocity on seismic response of slopes Bahram Nadi 1 & Omid Tavasoli 2
&
Puorya Kazemi Esfeh 1 & Denise-Penelope N. Kontoni 3
Received: 7 May 2018 / Accepted: 30 July 2020 # Saudi Society for Geosciences 2020
Abstract The soil shear wave velocity has long been recognized as an effective parameter in the assessment of the seismic response of slopes. However, most seismic analyses have been carried out by deterministic models considering just a single realization of soil shear wave velocity. In other words, only a small number of researchers have explored the spatial variability effects of soil shear wave velocity on the seismic response of slopes. This paper investigates this phenomenon stochastically, and the auto-correlation matrix decomposition method based on Monte Carlo Simulation was applied to generate the stationary random fields in order to simulate the spatial variability of soil shear wave velocity. This framework includes interpreting the coefficient of the soil shear modulus variation and auto-correlation length effected on maximum horizontal equivalent acceleration. The results showed that the spatial variation of shear wave velocity might have a significant effect on the dynamic response of the sliding mass if slopes were subjected to weak ground motions. By contrast, it could have a significant effect on maximum horizontal equivalent acceleration induced in slopes subjected to intense ground motions. Keywords Spatial variability . Random fields . Shear wave velocity . Slopes . Seismic response . Finite difference method
Introduction Since indefinite sliding displacement indicates common destruction factors for evaluating the seismic stability of slopes, the evaluation of this parameter has been taken into consideration by researchers in order to design stable soil structures in the past few decades. To assess seismic deformation, the analysis of a rigid sliding block is convenient while the sliding mass is approximately rigid and shallow (Newmark, 1965). In this case, the response of the slope can be ignored because the natural period of sliding mass (Ts) is essentially zero. Thus, the input time history of acceleration can be used to measure the Responsible Editor: Narasimman Sundararajan * Omid Tavasoli [email protected] 1
Department of Civil Engineering, Najaf Abad Branch, Islamic Azad University, Isfahan, Iran
2
Department of Civil Engineering, East Tehran Branch, Islamic Azad University, Tehran, Iran
3
Department of Civil Engineering, University of the Peloponnese, GR-26334 Patras, Greece
displacement by double-integrating it or, alternatively, seismic loading parameters, such as peak ground acceleration (PGA), can be utilized to predict sliding displacement from empirical models. However, flexible sliding masses make inappropriate the analysis of sliding block when the natural periods are greater than zero and it is important to consider the dynamic response of such cases. The dynamic response of sliding mass i
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