Analytical Study of Solute Transport in Porous Media with a Periodic Flow

Analytical models require significant simplification of the real-world system, especially in the case of solute transport in subsurface groundwater. This article presents an analytical study of one-dimensional non-reactive solute transport in a homogeneous finite porous medium. The governing advection-dispersion equation, which includes retardation factor, is included for solute transport. The solute is initially introduced from periodic point source from right end of the domain i.e., . It is assumed that the flow is one-dimensional with periodic velocity nature and pulse type periodic source pollutants are entering in the domain from right end of the boundary. The second boundary condition is of flux type at sub domain . Transport equation is solved analytically by using Laplace transformation technique. The developed solution should be applicable to a broad variety of solute transport problems, especially those in homogeneous porous media. Alternate as an illustration; solutions for the present problem are illustrated by numerical examples and graphs. Key wordsAdvection, Dispersion, Periodic flow, Porous medium, Retardation.