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

TL;DR

This paper models long water waves generated by sudden velocity changes, applying the theory to analyze the 2006 and 2007 Kuril tsunamis, providing insights into wave origin, energy, and velocity relationships.

Contribution

It introduces an analytical model for long wave formation triggered by velocity field changes and applies it to real tsunami events near the Kuril Islands.

Findings

Relationship between group and phase velocities of wave packets.

Estimation of wave origin size and duration.

Analysis of energy transfer during tsunami generation.

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.