The study attempts to develop a mathematical model for transport of a solute in groundwater by taking the mass balance of the dissolved pollutant over a static elementary volume in three cartesian coordinates.
The management of groundwater resources is becoming a complicated task due to the overwhelming pressure on groundwater and the changing scenario of groundwater quality (physical, chemical and biological).
The hydraulics of groundwater is governed by many bounded and un-bounded factors. The mixing of constituents in groundwater is an important factor that shapes the occurrence of constituents in any precise location at any given time.
The modeling of the groundwater flow and contaminants transport in groundwater needs expertise, particularly in understanding the kinetics of flow and transport behaviors of contaminated water. The solutions of equation both analytical and numerical are also well established. Analytical solution is only available for one-dimensional case while numerical solutions are available for 1-D, 2-D and 3-D cases.
Despite well established theory of contaminants transport in groundwater, there is a common tendency of simplification of a 2-D or a 3-D problem to a 1-D problem. As a consequence, a good agreement between the observed and computed values is not achieved in many cases.
An understanding of the spatial and temporal variation of groundwater both in terms of quantity and quality can be developed once causes of the problem are well understood and addressed properly. Groundwater flow and transport modeling can assist in solving such problems.
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