Free surface wave elevation interacted with compression waves in seawater caused by earthquake

When the seabed is vibrating due to earthquake, not only the compression waves in seawater but also the free surface waves occur at the same time and these interact with each other. In this paper, the wave elevations on free surface interacted with compression waves caused by earthquake is numerically studied. A kernel function satisfying the wave equation in compression wave field is introduced and the free surface elevations which satisfy the free surface boundary condition in three dimensional time domain are calculated by making use of the boundary integral equation method. Through the calculations, the relations between frequencies of vibrating seabed and the free surface waves are made clear. Furthermore, when there is a fixed floating body in the considered region, the effect on the free surface elevations is studied.