Two tsunamis generated near the Kuril Islands and analytical long wave theory

Abstract: This paper addresses long waves on the water surface. It is assumed that initially the water surface has not yet been displaced from its mean level, but the velocity field has already become different from zero. This means that the motion of a body of water is triggered by a sudden change in the velocity field. The long wave is modeled mathematically as a specific wave packet. The model is used to estimate duration of the wave origin formation, size of the origin, water elevation in the origin, energy supplied to the water by the quake, distribution of wave heights in the wave packet. Relationship between group velocity of the packet and phase velocity of the packet's wave of maximum height is revealed. These results are applied to Kuril tsunamis of November 2006 and January 2007.