Modified Kadomtsev–Petviashvili equation for tsunami over irregular seabed
Author(s)Li, Yile; Mei, Chiang Chung
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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.
DepartmentMassachusetts Institute of Technology. Department of Civil and Environmental Engineering
Li, Yile, and Chiang C. Mei. “Modified Kadomtsev–Petviashvili Equation for Tsunami over Irregular Seabed.” Natural Hazards 84.S2 (2016): 513–528.
Author's final manuscript