Oil saturation distribution in an aquifer with a doublet of extraction/injection wells

Abstract

A new physico-mathematical approach is developed for modeling oil saturation distribution within a plane polluted aquifer subjected to a flow field governed by a doublet system. This system consists of extraction and injection (E/I) 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 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 E/I wells with the oil polluted aquifer. As such, the model was calibrated and its applicability has been shown.