Modeling Transport and Adsorption of Arsenic Ions in Iron-Oxide Laden Porous Media. Part I: Theoretical Developments

The process of transport and trapping arsenic ions in porous water filters is treated as a classic mass problem which, at the pore scale, modeled using traditional convection-diffusion equation, representing migration species present very small (tracer) amounts water. upscaling, conducted volume averaging method, reveals presence two possible forms macroscopic equations for predicting concentrations filters. One convection-dispersion equation with total dispersion tensor its main coefficient, which obtained from closure formulation similar to that passive diffusion problem. other form includes an additional hitherto ignored literature identified here adsorption-induced vector. These coefficients latter are determined system problems include effects both well adsorption by solid phase filter. This theoretical effort represents first serious introduce detailed micro–macro coupling while modeling homogeneous media.