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Resonance phenomena at the long wave run-up on the coast

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.
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A. Ezersky, D. Tiguercha, E. Pelinovsky. Resonance phenomena at the long wave run-up on the coast. Natural Hazards and Earth System Sciences, European Geosciences Union, 2013, 13, pp.2745 - 2752. ⟨10.5194/nhess-13-2745-2013⟩. ⟨insu-01525250⟩

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