On the use of finite fault solution for tsunami generation problems
arXiv:1008.2742 · doi:10.1007/s00162-011-0252-8
Abstract
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.
31 pages, 10 figures, 3 tables. Other author's papers can be downloaded at http://www.lama.univ-savoie.fr/~dutykh/
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- On the contribution of the horizontal sea-bed displacements into the tsunami generation process
- Generation of two-dimensional water waves by moving bottom disturbances
- Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
- Quantifying Uncertainties in the 2004 Sumatra-Andaman Earthquake Source Parameters by Stochastic Inversion
- A regularized shallow-water waves system with slip-wall boundary conditions in a basin: Theory and numerical analysis
- A High-Resolution Finite Volume Seismic Model to Generate Seafloor Deformation for Tsunami Modeling