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The purpose of this work is twofold: (a) To present the theoreticalformulation of a 3D acoustic propagation model based on a Boundary ElementMethod (BEM), which uses a half-space Green function in place of the moreconventional free-space Green function and (b) to show a numericalimplementation aimed to explore the formulation in simple idealized cases--controlled by a few parameters--, and provides necessary tests for theaccuracy and performance of the model. The half-space Green's function, whichhas been used previously in scattering and diffraction, adds terms to the usualexpressions of the integral operators without altering their continuityproperties. Verifications against the Pekeris waveguide suggest that the modelallows an adequately prediction for the acoustic field. Likewise, numericalexplorations in relation to the necessary mesh size for the description of thewater-sediment interface allow us to conclude that a TL prediction withacceptable accuracy can be obtained with the use of a bounded mesh around thedesired evaluation region.

A 3D acoustic propagation model for shallow waters based on an indirect Boundary Element Method