This work consists of the hybrid solution of one-dimensional Advection-dispersion Equation for solute in porous media heterogeneous or homogeneous, single component, with coefficients of retardation, dispersion, average speed, production and decay depend on distance traveled by the solute. We will study the cases where dispersion-advection retardation, dispersion, flow rate, production and decay vary linearly as dispersivity assume linear, parabolic or exponential. For the solution of the equation was applied to Generalized Integral Transform Technique. The results obtained in this work show good agreement between the sample problems and their analytical or numerical solutions in the literature and indicate a better match in the use of models in the study of parabolic advection-dispersion in short time, while the linear model converges faster in times of prolonged simulation. The convergence of the series proved to have direct dependence on the length of the field, the dispersion model and dispersivity adopted, converging with terms up to 60, reaching NT = 170, for the heterogeneous cases, using the model of exponential dispersion respecting the criterion adopted 10-4.
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