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| HAL : hal-00509384, version 3 |
| arXiv : 1008.2742 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (16-08-2010) | v2 (28-11-2010) | v3 (12-12-2011) |
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| On the use of finite fault solution for tsunami generation problems |
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Denys Dutykh 1Dimitrios Mitsotakis 2 |
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| (12/08/2010) |
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| The present study is devoted to the problem of tsunami wave generation. The main goal of this work is two-fold. First of all, we propose a simple and computationally inexpensive model for the description of the sea bed displacement during an underwater earthquake, based on the finite fault solution for the slip distribution under some assumptions on the dynamics of the rupturing process. Once the bottom motion is reconstructed, we study waves induced on the free surface of the ocean. For this purpose we consider three different models approximating the Euler equations of the water wave theory. Namely, we use the linearized Euler equations (we are in fact solving the Cauchy-Poisson problem), a Boussinesq system and a novel weakly nonlinear model. An intercomparison of these approaches is performed. The developments of the present study are illustrated on the 17 July 2006 Java event, where an underwater earthquake of magnitude 7.7 generated a tsunami that inundated the southern coast of Java. |
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| 1 : | Laboratoire de Mathématiques (LAMA) |
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CNRS : UMR5127 – Université de Savoie |
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| 2 : | Laboratoire de Mathématiques d'Orsay (LM-Orsay) |
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CNRS : UMR8628 – Université Paris XI - Paris Sud |
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| 3 : | School of Mathematical Sciences |
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University College Dublin |
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| Domaine | : | Physique/Mécanique/Mécanique des fluides Sciences de l'ingénieur/Mécanique/Mécanique des fluides Physique/Physique/Géophysique Planète et Univers/Sciences de la Terre/Géophysique Sciences de l'environnement/Milieux et Changements globaux Physique/Physique/Physique Atmosphérique et Océanique Mathématiques/Analyse numérique Physique/Physique/Dynamique des Fluides Physique/Physique/Physique Numérique Planète et Univers/Océan, Atmosphère Planète et Univers/Sciences de la Terre/Océanographie |
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| water waves – tsunami waves – co-seismic displacements – moving bottom – tsunami generation |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00509384, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00509384 | |
| oai:hal.archives-ouvertes.fr:hal-00509384 | |
| Contributeur : Denys Dutykh | |
| Soumis le : Lundi 12 Décembre 2011, 09:22:08 | |
| Dernière modification le : Lundi 12 Décembre 2011, 16:19:47 | |
