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Simulation of seismic response in a city-like environment
Authors:Jean-Philippe Groby  Chrysoula Tsogka  Armand Wirgin  
Institution:aCNRS/LMA, 31 Chemin Joseph Aiguier, 13402 Marseille cedex 20, France;bMathematics Department, Stanford University, USA;cCNRS/LMA, 31 Chemin Joseph Aiguier, 13402 Marseille cedex 20, France
Abstract:We study the seismic response of idealized 2D cities, constituted by non-equally spaced, non-equally sized homogenized blocks anchored in a soft layer overlying a hard half space. The blocks and soft layer are occupied by dissipative media. To simulate such response, we use an approximation of the viscoelastic modulus by a low-order rational function of frequency and incorporate this approximation into a first-order-in-time scheme. Our results display spatially variable, strong, long-duration responses inside the blocks and on the ground, which qualitatively match the responses observed in some earthquake-prone cities of Mexico, France, the USA, etc.
Keywords:Amplification and long coda of vibration  Beatings  Cities  Earthquakes
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