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Control of displacement front in a model of immiscible two-phase flow in porous media

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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.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117997, Russia

    A. V. Akhmetzyanov, A. G. Kushner & V. V. Lychagin

  2. Faculty of Physics, Moscow State University, Moscow, 119992, Russia

    A. G. Kushner

  3. University of Tromsø, Tromsø, Norway

    V. V. Lychagin

Authors
  1. A. V. Akhmetzyanov
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  2. A. G. Kushner
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  3. V. V. Lychagin
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Corresponding author

Correspondence to A. V. Akhmetzyanov.

Additional information

Original Russian Text © A.V. Akhmetzyanov, A.G. Kushner, V.V. Lychagin, 2016, published in Doklady Akademii Nauk, 2016, Vol. 469, No. 2, pp. 139–142.

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Akhmetzyanov, A.V., Kushner, A.G. & Lychagin, V.V. Control of displacement front in a model of immiscible two-phase flow in porous media. Dokl. Math. 94, 378–381 (2016). https://doi.org/10.1134/S1064562416040074

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  • DOI: https://doi.org/10.1134/S1064562416040074

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