Contaminated water flow modelling through the porous media by using fractional advection-dispersion equation (FADE)

This study aims to evaluate the validity of Fractional Advection-Dispersion equation (FADE) in breakthrough curves saturated homogenous soil media, i.e. clay, and examine three primary restraints, pore water velocity, dispersion coefficient, order fractional differentiation which are impacting solute transport behavior (Fickian or Non-Fickian). In this study, FADE framework used characterize process at depth 50 cm (clay). Main based on FORTRAN, estimate parameters including (λ), dispersive coefficient (D), average pore-water velocity (v). If value is equal greater than 2, said be Fickian otherwise non-Fickian. non-Fickian was found 1.85 less 2. On other hand, early long-time tailing media showed an increase (D) for higher values (λ = 1.85–1.99). The results (BTCs) relative concentration (C/C0) show that it best fitted by using FADE. For assessment fitting, Root Mean Square Error (RMSE) determination Coefficient find quality fit.v,D,λ .