A physiscochemical model is presented for the reactive-transport of chemical scpecies through a contaminated soil during an acid-enhanced electrokinetic remediation treatment. Numerical simulations in the specific case of the removal of cadmium and lead from spiked kaolinite, compared with experimental results from the literature. The reactive-transport based on the local chemical equilibrium assumption, including a surface complexation to model the adsorption of cations (metals and protons). Comparison of simulation results show different beavior of the target metals, as cadmium is mainly retaind by surface interaction while lead is retained by precipitation of a solid phase.