Water waves generated by three dimensional bed motion: Abstract

Dipole dislocation of the sea floor with a finitie aspect ratio (length/width of the bottom dislocation) is reported. The method for three dimensional bed motion in the case of rectangular bed upthrust of finite aspect ratio was applied. A potential flow is assumed; thus the velocity potential satisfies Laplace's equation and linearized boundary conditions. Fourier transform for the spatial variables and the Laplace transform for the time variable are applied. Results on water surface profiles for different lengths/widths of bottom dislocation were obtained and features of generated wave patterns were found. Programs for obtaining wave profiles along any arbitrarily chosen coordinates by a mathematical plantom are developed.