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A new analytical solution for advection – dispersion equation in bounded domain
by
Adriano Fedi
CIMA - DIST
Coauthors: Marco Massabo, Ombretta Paladino, Roberto Cianci
A new analytical solution has been developed for the 2-D advection – dispersion equation (ADE) in a semi-infinite and laterally bounded domain (parallel plate geometry). Uniform flow through a saturated porous medium has been adopted to model contaminant transport through the domain. The general solution was obtained by the application of Cosine Fourier Series for the transversal domain, the application of the Laplace Transform in regard to the temporal dimension and the introduction of a Jacobi Theta Function. The analytical solution here provided has been derived solving a particular case in which the inlet conditions (Dirac) and the boundary ones (Dirichelet, Neumann and mixed types) were fixed.
Date received: April 29, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxe-10.