University of Tabriz Water and Soil Science 2008-5133 20 2 2014 05 07 Effect of Ion Adsorption on Solute Transport in Saturated Porous Media Effect of Ion Adsorption on Solute Transport in Saturated Porous Media 17 27 1301 FA Sh Shahmohammadi Kalalagh AH Nazemi Journal Article 2014 05 07 Use of mathematical models as efficient tools in solute transport studies and management in porous<br />media is usual. The present model by making use of the governing equation for two - dimensional<br />solute transport in a porous medium expresses the ion adsorption effect on solute transport in a<br />saturated semi infinite porous medium.This model has been solved analyticaly under the first type<br />(Dirichlet condition) and the third type (Cauchy condition) boundary conditions. In solute transport<br />by diffusion, the third type boundary condition shows the solute concentration at the boundary or on<br />the soil surface more than that of the first boundary condition. In advection – dispersion solute<br />transport, the solute concentration distribution curves resulting from the first and third boundary<br />conditions because of advection predomination are approximately identical. The effect of ion<br />adsorption on the medium,s solid matrix is evaluated by retardation factor in the model. The<br />retardation factor greater than one causes retardation in solute transport, distribution and dispersion<br />in the medium. The effect of ion adsorption on solute concentration distribution is independent of<br />the selected boundary condition and depends on the modes of solute transport and dispersion in the<br />medium, so as the rate of this effect in advection – dispersion solute transport is more than in<br />diffusion transport. Use of mathematical models as efficient tools in solute transport studies and management in porous<br />media is usual. The present model by making use of the governing equation for two - dimensional<br />solute transport in a porous medium expresses the ion adsorption effect on solute transport in a<br />saturated semi infinite porous medium.This model has been solved analyticaly under the first type<br />(Dirichlet condition) and the third type (Cauchy condition) boundary conditions. In solute transport<br />by diffusion, the third type boundary condition shows the solute concentration at the boundary or on<br />the soil surface more than that of the first boundary condition. In advection – dispersion solute<br />transport, the solute concentration distribution curves resulting from the first and third boundary<br />conditions because of advection predomination are approximately identical. The effect of ion<br />adsorption on the medium,s solid matrix is evaluated by retardation factor in the model. The<br />retardation factor greater than one causes retardation in solute transport, distribution and dispersion<br />in the medium. The effect of ion adsorption on solute concentration distribution is independent of<br />the selected boundary condition and depends on the modes of solute transport and dispersion in the<br />medium, so as the rate of this effect in advection – dispersion solute transport is more than in<br />diffusion transport. https://water-soil.tabrizu.ac.ir/article_1301_11e296b7384f8dbb83c4179ae8982da6.pdf