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A New Analytical Solution for the 2D Advection-Dispersion Equation in Semi-Infinite and Laterally Bounded Domain

In this work the parallel plate geometry has been considered to analytically solve the advection – dispersion equation in porous media. The general solution was obtained by the application of Cosine Fourier Series for the transversal domain, by the application of the Laplace Transform in regard to the temporal dimension and the introduction of a Theta Function. A brief comparison with a commonly used solution for infinite domain has been performed in order to qualitatively evaluate the influence of the presence of the boundaries on the plume profiles behavior.