Resonance phenomena at the long wave run-up on the coast
- 1CNRS UMR6143 Morphodynamique Continentale et Côtière (M2C), Université Caen Basse-Normandie, 24 rue des Tilleuls, 14000 Caen, France
- 2Institute of Applied Physics, Nizhny Novgorod, Russia
- 3Nizhny Novgorod State Technical University, Nizhny Novgorod, Russia
- 4National Research University – Higher School of Economics, Nizhny Novgorod, Russia
- 5Johannes Kepler University, Linz, Austria
Abstract. Run-up of long waves on a beach consisting of three pieces of constant but different slopes is studied. Linear shallow-water theory is used for incoming impulse evolution, and nonlinear corrections are obtained for the run-up stage. It is demonstrated that bottom profile influences the run-up characteristics and can lead to resonance effects: increase of wave height, particle velocity, and number of oscillations. Simple parameterization of tsunami source through an earthquake magnitude is used to calculate the run-up height versus earthquake magnitude. It is shown that resonance effects lead to the sufficient increase of run-up heights for the weakest earthquakes, and a tsunami wave does not break on chosen bottom relief if the earthquake magnitude does not exceed 7.8.