Abstract
A new physico-mathematical approach is developed for modeling oil saturation distribution within a plain polluted aquifer subjected to a flow field governed by a quadrupole wells system. This system consists of two extraction and two injection (2E/2I) wells, located in a contaminated aquifer, which are used for groundwater remediation applications. The development of the model is done by considering a two-dimensional, nonlinear diffusion-convection transport equation, applying a geometrical self-similar scheme. A closed-form analytical solution is obtained for the steady oil saturation distribution in the aquifer for the above-mentioned flow field. The mathematical solution developed here is designed to simulate hydraulic interactions of 2E/2I wells with the oil polluted aquifer.
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