Modified Kadomtsev–Petviashvili equation for tsunami over irregular seabed

Yile Li () and Chiang C. Mei ()
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Chiang C. Mei: Massachusetts Institute of Technology

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, 2016, vol. 84, issue 2, No 6, 513-528

Abstract: Abstract We derive an asymptotic equation governing the trans-ocean propagation of tsunami from source to the continental shelf. Focus is on disturbances originated from a slender fault of finite length. The variable sea depth is assumed to consist of a slowly varying mean and random fluctuations. The method of multiple scales is used to derive a Kadomtsev–Petviashvili equation with variable coefficients. Modifications by one- and two-dimensional random irregularities are shown to affect the wave speed, dissipation and additional dispersion. The result can be used to facilitate physical insight with modest numerical efforts.

Keywords: Tsunami; Kadomtsev–Petviashvili equation; Nonlinear dispersive waves (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:nathaz:v:84:y:2016:i:2:d:10.1007_s11069-016-2450-6

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DOI: 10.1007/s11069-016-2450-6

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