Propapation and attenuation characteristics of multilayered media
Koch, Stephen Patrick
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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.
Submitted in partial fulfillment of the requirements for the degree of Ocean Engineer at the Woods Hole Oceanographic Institution and at the Massachusetts Institute of Technology and Master of Science in Ocean Engineering at the Massachusetts Institute of Technology 1979
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