AN ANALYTICAL SOLUTION OF THE ADVECTION-DISPERSION EQUATION FOR TRANSPORT OF MISCIBLE TYPE CONTAMINATES IN UNSATURATED POROUS MEDIA

This study develops a mathematical model for one-dimensional solute transport of miscible type contaminates in a semi-infinite isotropic and homogeneous unsaturated porous medium. This phenomenon has been obtained in term of one-dimensional advection-dispersion equation. In this study the advection dispersion equation has been solved analytically by using Laplace transform, moving coordinates and Duhamel’s theorem with appropriate initial and boundary condition. The final solution is obtained in terms of complementary error function and exponential form and it is concluded that the concentration profile decreases with time and depth