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Geophysical Journal International 172 (2008) 725-758
Seismic motion in urban sites consisting of blocks in welded contact with a soft layer overlying a hard half space: I. Finite set of blocks
Jean-Philippe Groby 1, 2, Armand Wirgin 1
(2008)

We address the problem of the response to a seismic wave of an urban site consisting of $N$ non-identical, non-equispaced blocks overlying a soft layer underlain by a hard substratum. The results of a theoretical analysis, appealing to a space-frequency mode-matching (MM) technique, are compared to those obtained by a space-time finite element (FE) technique. The two methods are shown to give rise to the same prediction of the seismic response for $N=1$ and $N=2$ blocks. The mechanism of the interaction between blocks and the ground, as well as that of the mutual interaction between blocks, are studied. It is shown that the presence of a small number of blocks modifies the seismic disturbance in a manner which evokes qualitatively, but not quantitatively, what was observed during the 1985 Michoacan earthquake in Mexico City. Disturbances at a much greater level, induced by a large number of blocks (in fact, a periodic set) are studied in the companion paper.
1 :  Laboratoire de Mécanique et d'Acoustique (LMA)
CNRS : UPR7051
2 :  Laboratorium voor Akoestiek en Thermische Fysica (LATF)
Katholieke Universiteit Leuven
Physique/Physique/Géophysique

Planète et Univers/Sciences de la Terre/Géophysique

Sciences de l'environnement/Milieux et Changements globaux

duration – amplification – seismic response – cities
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