Dispersion in porous media with and without reaction: a review

The dispersion in fluid-saturated deformable or nondeformable porous media with or without chemical reaction is studied analytically, considering a series of particular cases selected through different practical problems using different dispersion models. The required basic equations are obtained using mixture and homogenization theories. Different analytical and numerical models valid for large time (asymptotic) and for all time (transient) are explained. The formulations of the problems considered here are so general that they are applicable to deformable and nondeformable particles amenable to both analytical and numerical procedures. The validity of the results obtained from an analytical method is verified by comparison with available experimental and cell model results, and good agreement is found