ACOUSTIC FIELD IN A SHALLOW, STRATIFIED OCEAN WITH A PORO-ELASTIC SEABED

In this paper we investigate the propagating solutions of the acoustic equation in a stratified shallow ocean with a poroelastic, semi-infin ite seabed. The ocean-seabed system is first Hankel transformed. Then the method of transmutation is used to generate the transformed soluti ons in the water column; whereas, the modal seabed equations are solve d using the computer algebra Macsyma. In the water column the transfor med solutions are first decomposed using the Mittag-Leffler expansion for the discrete spectrum. Both the discrete and continuous spectrum a re then used to give a spectral representation of the solution, from w hich we develop a numerical scheme. Some numerical examples are given to illustrate the method.