Solute-Transport under Fluctuating Groundwater Flow in Homogeneous Finite Porous Domain

Solute-Transport under Fluctuating Groundwater Flow in Homogeneous Finite Porous Domain

In this paper a theoretical model is developed for the advection dispersion problem in one-dimensional porous media with two considerations: one the flow is periodic and the second dispersion coefficient is directly proportional to the seepage velocity. The porous domain is homogeneous, isotropic and of adsorbing nature. A time dependent periodic point source is considered at the source boundary. Different boundary conditions are considered at outlet of the domain. In first case, the mixed type and in second case flux type boundary conditions are considered. For both cases, input source are same. We studied the influence on concentration profiles due to different boundary conditions in the domain. The derived solution is also extended in semi-infinite domain. The Laplace Transformation Technique (LTT) is used to get analytical solution. In this process, a new time variables are introduced. Graphical illustrations of concentration profiles versus time and position are presented for different set of data.