| Volume 6, Number 1, 2016, Pages 156-170 DOI：10.11948/2016013 |
| Mathematical Modeling to Simulate the Movement of Contaminants in Groundwater |
| Kamel Al-Khaled,Mohamed Ali Hajji |
| Keywords:Approximate solutions singular perturbation method solute transport Talbot's algorithm Bromwich contour Laplace transform Inverse Laplace transform. |
| Abstract: |
| The objectives of this paper are twofold. Firstly, we formulate a system of partial differential equations that models the contamination of groundwater due to migration of dissolved contaminants through unsaturated to saturated zone. A closed form solution using the singular perturbation techniques for the flow and solute transport equations in the unsaturated zone is obtained. Indeed, the solution can be used as a tool to verify the accuracy of numerical models of water flow and solute transport. The second part of this paper, deals with how the water level in a water reserve drops due to pumping water out of a well that is some distance away. |
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