dorsal/arxiv
View SchemaSeismic motion in urban sites consisting of blocks in welded contact with a soft layer overlying a hard half space: I. Finite set of blocks
| Authors | Jean-Philippe Groby, Armand Wirgin |
|---|---|
| Categories | |
| ArXiv ID | physics/0609228 |
| URL | https://arxiv.org/abs/physics/0609228 |
| DOI | 10.1111/j.1365-246X.2007.03678.x |
Abstract
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.
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"abstract": "We address the problem of the response to a seismic wave of an urban site\nconsisting of $N$ non-identical, non-equispaced blocks overlying a soft layer\nunderlain by a hard substratum. The results of a theoretical analysis,\nappealing to a space-frequency mode-matching (MM) technique, are compared to\nthose obtained by a space-time finite element (FE) technique. The two methods\nare shown to give rise to the same prediction of the seismic response for N=1\nand N=2 blocks. The mechanism of the interaction between blocks and the ground,\nas well as that of the mutual interaction between blocks, are studied. It is\nshown that the presence of a small number of blocks modifies the seismic\ndisturbance in a manner which evokes qualitatively, but not quantitatively,\nwhat was observed during the 1985 Michoacan earthquake in Mexico City.\nDisturbances at a much greater level, induced by a large number of blocks (in\nfact, a periodic set) are studied in the companion paper.",
"arxiv_id": "physics/0609228",
"authors": [
"Jean-Philippe Groby",
"Armand Wirgin"
],
"categories": [
"physics.geo-ph"
],
"doi": "10.1111/j.1365-246X.2007.03678.x",
"title": "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",
"url": "https://arxiv.org/abs/physics/0609228"
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