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

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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.

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  1. Unit for Hydrocarbon Pollution Prevention, Ministry of the Environmental Protection, 15 a Pal-Yam St., 33095, Haifa, Israel

    Arieh Pistiner

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  1. Arieh Pistiner
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Correspondence to Arieh Pistiner.

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Pistiner, A. Oil saturation distribution in an aquifer with a doublet of extraction/injection wells. Int J Geomath 11, 5 (2020). https://doi.org/10.1007/s13137-020-0142-6

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  • DOI: https://doi.org/10.1007/s13137-020-0142-6

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