Dobrokhotov S.Yu., Volkov B.I., Sekerzh-Zenkovich S.Ya., Tirozzi B.
An asymptotically numerical description of tsunami wave propagation in a basin with nonuniform depth in a neighbourhood of wavefronts that can have caustics is proposed. The piston model and the long wave approximation are used. It is assumed that the size of the area of the initial disturbance is small in comparison with both the characteristic length of the bottom depth variation interval and the distance from the observation point. The description is based on the generalization of an asymptotic approach known as Maslov canonical operator. For special disturbances relatively simple explicit formulas are presented that can be transformed in a computer program for wave profiles fast calculating. Some features of the tsunami wave propagation in basins of nonuniform depth are illustrated by graphics with the help of these formulas.
