A Mathematical Model Independent of Environmental Parameters for soil Pollution Removal by Phytoremediation

In this paper, a three-zone mathematical model is developed for soil pollutant removal by phytoremediation which is based on the root growth and decay in the system. The variables of the model are based on parts which have different volumes and a given first order decay coefficient. When the root moves in the soil, soil lies in the cycles of layers near the root (rhizosphere), root decay zone, and soil zone. It follows then that despite the fact that the model is based on the assumption of immobile pollutant, the fact that root moves in the soil ensures that soil meets the rhizosphere. To account for the root growth, a model is developed that involves both its spatial growth (exponential variation with depth) and its temporal growth (sinusoidal variation with time).