Propapation and attenuation characteristics of multilayered media

Abstract

An algorithm is proposed to numerically integrate the inhomogeneous depth-separated wave equation using a state variable technique. The solution obtained for two simple shallow water models is shown to agree well with the known exact solutions. Integration grid density is discussed and a minimum required density specified. The use of complex sound speeds to simulate bottom attenuation is reviewed. A numerical instability inherent to the technique that arises during the use of complex sound speeds is investigated. The algorithm is also applied to a deep ocean profile, and the solution characteristics discussed. Sensitivity problems that arise when modelling the seafloor as a layered elastic medium are analyzed.