MATHEMATICAL MODELING TO SIMULATE THE MOVEMENT OF CONTAMINANTS IN GROUNDWATER
Author(s) -
Kamel AlKhaled,
Mohamed Ali Hajji
Publication year - 2016
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2016013
Subject(s) - groundwater , contamination , groundwater flow , vadose zone , aquifer , ordinary differential equation , flow (mathematics) , perturbation (astronomy) , water flow , environmental science , mechanics , differential equation , soil science , mathematics , geology , geotechnical engineering , mathematical analysis , physics , ecology , quantum mechanics , biology
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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