A method to solve the advection-dispersion equation with a kinetic adsorption isotherm |
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| Institution: | 1. Elettra Sincrotrone Trieste, S.S. 14 km 163.5, 34149 Basovizza, Italy.;2. Dipartimento di Biotecnologie Chimica e Farmacia, Università degli Studi di Siena, via Aldo Moro 2, 53100 Siena, Italy |
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| Abstract: | This study deals with a method to solve the transport equations for a kinetically adsorbing solute in a porous medium with spatially varying velocity field and dispersion coefficients. Making use of the stochastic nature of a first-order kinetic process, we show that the advection-dispersion equation and the adsorption isotherm can be decoupled. Once the solution for a non-adsorbing solute is known, the method provides an exact solution for the kinetically adsorbing solute. The method is worked out in four examples. In particular we demonstrate how the method can be applied simultaneously with a numerical transport code: the advective-dispersive transport is computed numerically, whereas kinetic effects are incorporated analytically. The proposed approach may be useful in field scale applications with complex flow patterns. |
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