Workshop on Extreme Events Max Planck Institut for Complex SystemDresden, 30 October-2 November 2006

Workshop on Kinetic Theory and Mechanics of Continuous MediaDepartment of Mathematics, University of Naples, 9-10 November 2006

Analysis of the tsunami event in Algeria 2003

S. Dobrokhotov (1), B. Tirozzi (2), P. Zhevandrov (3),

F. Raicich (4)

(1) Institute for Problems in Mechanics, RAS, Moscow, Russia(2) Department of Physics, University “La Sapienza”, Rome, Italy(3) Escuela de Ciencias Fisico-Matematicas, Morelia, Mich., Mexico(4) CNR, Institute of Marine Sciences, Trieste, Italy

Valencia

Barcelona

Ibiza

Earthquake data (USGS): t0: 18:44:19 GMT, 21 may 2003 USGS: epicenter 36.96°N, 3.63°E, M=6.9, hf=12 km Borerro: epicenter 36.90°N, 3.71°E, M=6.8, hf=10 km, strike=56°

Euristic formula for the run-up used by Pelinovsky and Ivanov: but no proofs available!

Ellipsoidal deformation

M = 6.9

hf = 12 km

(Pelinovsky et al., 2001)

a = 34 km

b = 12 km

b56°

a

Coordinates: model gridpoints

(Dobrokhotov et al., 2006)

a1= 1.2 10-2 km-1

Gaussian*cosine deformation

= 0

a2 = 2.7 10-2 km-1

b1 = 0.5 10-2 km-2

b2 = 4.0 10-2 km-2

= 56°

Coordinates: model gridpoints

Acknowledgements

The observed sea-level data for Ibiza are kindly provided by Dr. B. Perez, Puertos del Estado, Madrid, Spain.

Linear theory of the scattering of localized waves on a beach with

constant slope.

Example: Scattering of a packet on a beach with constant slope

The asymptotic formulas