Email this article Control of displacement front in a model of immiscible two-phase flow in porous media
- Authors: Akhmetzyanov A.V.1, Kushner A.G.1,2, Lychagin V.V.1,3
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Affiliations:
- Trapeznikov Institute of Control Sciences
- Faculty of Physics
- University of Tromsø
- Issue: Vol 94, No 1 (2016)
- Pages: 378-381
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223961
- DOI: https://doi.org/10.1134/S1064562416040074
- ID: 223961
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Abstract
For the Buckley–Leverett equation describing the flow of two immiscible fluids in porous media, an exact parametric representation of the solution is constructed with the help of the Bäcklund transformation. As a result, the advance of the displacement front can be controlled to a high degree of accuracy. The method is illustrated using an example of a typical oil well with actual parameters.
About the authors
A. V. Akhmetzyanov
Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: atlas@ipu.ru
Russian Federation, Profsoyuznaya ul. 65, Moscow, 117997
A. G. Kushner
Trapeznikov Institute of Control Sciences; Faculty of Physics
Email: atlas@ipu.ru
Russian Federation, Profsoyuznaya ul. 65, Moscow, 117997; Moscow, 119992
V. V. Lychagin
Trapeznikov Institute of Control Sciences; University of Tromsø
Email: atlas@ipu.ru
Russian Federation, Profsoyuznaya ul. 65, Moscow, 117997; Tromsø
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