Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting

In classical tsunami-generation techniques, one neglects the dynamic sea bed displacement resulting from fracturing of a seismic fault. The present study takes into account these dynamic effects. Earth's crust is assumed to be a Kelvin-Voigt material. The seismic source is assumed to be a dislocation in a viscoelastic medium. The fluid motion is described by the classical nonlinear shallow water equations (NSWE) with time-dependent bathymetry. The viscoelastodynamic equations are solved by a finite-element method and the NSWE by a finite-volume scheme. A comparison between static and dynamic tsunami-generation approaches is performed. The results of the numerical computations show differences between the two approaches and the dynamic effects could explain the complicated shapes of tsunami wave trains.

[1]  Denys Dutykh,et al.  Water waves generated by a moving bottom , 2007 .

[2]  Jean-Michel Ghidaglia,et al.  Une méthode volumes finis à flux caractéristiques pour la résolution numérique des systèmes hyperboliques de lois de conservation , 1996 .

[3]  C. Synolakis,et al.  The run-up of N-waves on sloping beaches , 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[4]  Tadepalli,et al.  Model for the Leading Waves of Tsunamis. , 1996, Physical review letters.

[5]  L. B. Freund,et al.  A two-dimensional analysis of surface deformation due to dip-slip faulting , 1976 .

[6]  R. Madariaga Radiation from a Finite Reverse Fault in a Half Space , 2003 .

[7]  N. A. Haskell Elastic displacements in the near-field of a propagating fault , 1969 .

[8]  Denys Dutykh,et al.  Comparison between three-dimensional linear and nonlinear tsunami generation models , 2007 .

[9]  Jean-Michel Ghidaglia,et al.  On the numerical solution to two fluid models via a cell centered finite volume method , 2001 .

[10]  Mihailo D. Trifunac,et al.  Generation of tsunamis by a slowly spreading uplift of the sea floor , 2001 .

[11]  Costas E. Synolakis,et al.  Source discriminants for near-field tsunamis , 2004 .

[12]  J. Hammack A note on tsunamis: their generation and propagation in an ocean of uniform depth , 1973, Journal of Fluid Mechanics.

[13]  Tatsuo Ohmachi,et al.  Simulation of Tsunami Induced by Dynamic Displacement of Seabed due to Seismic Faulting , 2001 .

[14]  Vasily Titov,et al.  Numerical Modeling of Tidal Wave Runup , 1998 .

[15]  T. Masterlark Finite element model predictions of static deformation from dislocation sources in a subduction zone: Sensitivities to homogeneous, isotropic, Poisson-solid, and half-space assumptions , 2003 .

[16]  Jean-Michel Ghidaglia,et al.  The normal flux method at the boundary for multidimensional finite volume approximations in CFD , 2005 .

[17]  Denys Dutykh,et al.  Linear theory of wave generation by a moving bottom , 2006 .

[18]  Salvatore Barba,et al.  Normal-fault stress and displacement through finite-element analysis , 2005 .

[19]  Costas E Synolakis,et al.  Tsunami science before and beyond Boxing Day 2004 , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[20]  Fayssal Benkhaldoun,et al.  A Non Homogeneous Riemann Solver for shallow water and two phase flows , 2006 .

[21]  Kinjiro Kajiura,et al.  45. Tsunami Source, Energy and the Directivity of Wave Radiation , 1970 .

[22]  Ian Parsons,et al.  Surface deformation due to shear and tensile faults in a half-space , 1986 .

[23]  D. E. Smylie,et al.  The displacement fields of inclined faults , 1971, Bulletin of the Seismological Society of America.