Horizontal displacements contribution to tsunami wave energy balance

Denys Dutykh (1) , Dimitrios Mitsotakis (2) , Leonid Chubarov (3) , Yuriy Shokin (3)

1 LAMA - Laboratoire de Mathématiques
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay
3 Institute of Computational Technologies

The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into accound while the horizontal displacements are neglected. In the present paper we study both the vertical and the horizontal bottom motion while we propose a novel methodology for reconstructing the bottom coseismic displacements field which is transmitted to the free surface using a new three-dimensional Weakly Nonlinear (WN) approach. We pay a special attention to the evolution of kinetic and potential energies of the resulting wave while the contribution of horizontal displacements into wave energy balance is also quantified. Approaches proposed in this study are illustrated on the July 17, 2006 Java tsunami.

Mots clés: tsunami waves; water waves; coseismic displacements; wave energy; finite fault inversion

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Océan, Atmosphère; Dynamique des Fluides [physics.flu-dyn]; Physique Atmosphérique et Océanique [physics.ao-ph]; Physique Numérique [physics.comp-ph]; Océanographie; Géophysique [physics.geo-ph]; Géophysique [physics.geo-ph]; Milieux et Changements globaux

Denys Dutykh, Dimitrios Mitsotakis, Leonid Chubarov, Yuriy Shokin. Horizontal displacements contribution to tsunami wave energy balance. 2010. ⟨hal-00530999v1⟩