AXISYMMETRIC SPILLED POLLUTANT ANALYSIS IN STEADY-STATE USING FINITE DIFFERENCE METHOD

Abstract

Water resources in our world are decreasing day by day. Therefore, maintaining the cleanliness of water sources is very important. Spilled pollutants or seepage from garbage may sometimes cause contamination of groundwater resources. Diffusion equation is difficult to solve. It is also hard to calculate the spilled pollutant quantity. In this study, assuming that the soil is homogenous and its temperature and permeability is constant, infiltration from a surface with cylindrical symmetry into the soil is analyzed and the Laplace equation of the pollutant concentration in steady-state is solved in the cylindrical coordinates considering the axial symmetry by the finite difference method and then the velocity of the pollutant is calculated by post-processing of the solved concentration using Darcy's law in vector form. The concentration leaking from a small pond into the ground is assumed to be constant. The normalized concentration within the ground is given with respect to soil depth. This method given here can be modified to use for the more sophisticated soil models to analyze pollutants.