Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas

Paola F. Antonietti; Ilario Mazzieri; Laura Melas; Roberto Paolucci; Alfio Quarteroni; Chiara Smerzini; Marco Stupazzini; Paola F. Antonietti; Ilario Mazzieri; Laura Melas; Roberto Paolucci; Alfio Quarteroni; Chiara Smerzini; Marco Stupazzini

doi:10.3934/mine.2021012

Mathematics in Engineering

2021, Volume 3, Issue 2: 1-31. doi: 10.3934/mine.2021012

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Research article

Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas

1.
MOX–Laboratory for Modelling and Scientific Computing, Department of Mathematics, Politecnico di Milano, Piazza L. da Vinci 32, 20133 Milano, Italy
2.
Department of Civil and Environmental Engineering, Politecnico di Milano, Piazza L. da Vinci 32, 20133 Milano, Italy
3.
Institute of Mathematics, École Polytechnique Fédérale de Lausanne (EPFL), Station 8, 1015 Lausanne, Switzerland
4.
Munich RE, Geo Risks Königinstr. 107, 80802 Munich, Germany

Received: 26 February 2020 Accepted: 04 May 2020 Published: 19 May 2020

In this paper we describe a mathematical and numerical approach that combines physics-based simulated ground motion caused by earthquakes with fragility functions to model the structural damages induced to buildings. To simulate earthquake ground motion we use the discontinuous Galerkin spectral element method to solve a three-dimensional differential model at regional scale describing the propagation of seismic waves through the earth layers up to the surface. Selected intensity measures, retrieved from the synthetic time histories, are then employed as input for a vulnerability model based on fragility functions, in order to predict building damage scenarios at urban scale. The main features and effectiveness of the proposed numerical approach are tested on the Beijing metropolitan area.
Citation: Paola F. Antonietti, Ilario Mazzieri, Laura Melas, Roberto Paolucci, Alfio Quarteroni, Chiara Smerzini, Marco Stupazzini. Three-dimensional physics-based earthquake ground motion simulations for seismic risk assessment in densely populated urban areas[J]. Mathematics in Engineering, 2021, 3(2): 1-31. doi: 10.3934/mine.2021012

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Abstract

In this paper we describe a mathematical and numerical approach that combines physics-based simulated ground motion caused by earthquakes with fragility functions to model the structural damages induced to buildings. To simulate earthquake ground motion we use the discontinuous Galerkin spectral element method to solve a three-dimensional differential model at regional scale describing the propagation of seismic waves through the earth layers up to the surface. Selected intensity measures, retrieved from the synthetic time histories, are then employed as input for a vulnerability model based on fragility functions, in order to predict building damage scenarios at urban scale. The main features and effectiveness of the proposed numerical approach are tested on the Beijing metropolitan area.

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