Abstract:
A one dimensional mass transport equation in porous medium whose solution
is ill-posed is considered. Appropriate flow parameters that are consistent to
flow of solutes are determined. Solutes diffusion coefficient and advection
velocity are taken to be exponentially changing with time. Flow domain is
assumed semi infinitely deep and homogeneous. Finite volume and finite
difference methods are used spatial and temporal discretization of the governing
PDE. Solutions for possible combinations of time dependent flow parameters at
different soil depths and time intervals are compared with help of graphs. It is
observed that the concentration levels of ions with depth and time can be
detected early when the two parameters are negative exponential functions of
time before further pollution takes place in the underground environment.
