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Numerical simulation of the two-phase fluid filtration in heterogeneous media

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Abstract

Under study is numerical solution of the problems of two-phase filtration. The formulation of the problem is given in terms of velocity, pressure and saturation. To approximate the velocity and pressure, the mixed finite elementmethod is used. The flux schemes are applied for discretization of the convection term in the saturation equation. We present the results of numerical solution of a model problem for heterogeneous media.

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Authors and Affiliations

  1. North-East Federal University, ul. Kulakovskogo 48, Yakutsk, 677027, Russia

    V. I. Vasil’ev, M. V. Vasil’eva & T. S. Timofeeva

  2. Institute of Computational Mathematics and Mathematical Geophysics, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia

    Yu. M. Laevsky

Authors
  1. V. I. Vasil’ev
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  2. M. V. Vasil’eva
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  3. Yu. M. Laevsky
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  4. T. S. Timofeeva
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Corresponding author

Correspondence to V. I. Vasil’ev.

Additional information

Original Russian Text © V.I. Vasil’ev, M.V. Vasil’eva, Yu.M. Laevsky, T.S. Timofeeva, 2017, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2017, Vol. XX, No. 2, pp. 33–40.

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Vasil’ev, V.I., Vasil’eva, M.V., Laevsky, Y.M. et al. Numerical simulation of the two-phase fluid filtration in heterogeneous media. J. Appl. Ind. Math. 11, 289–295 (2017). https://doi.org/10.1134/S1990478917020156

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  • DOI: https://doi.org/10.1134/S1990478917020156

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