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On an approach to the modeling of oil wells

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Abstract

In this paper, a numerical study of a diffusion problem in the presence of wells on which integral boundary conditions are used is performed. It is shown that a method proposed earlier is fully efficient and offers certain advantages as compared with direct modeling of wells based on the finite element method. The results of calculations for two wells are presented.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia

    K. V. Voronin, A. V. Grigoriev & Yu. M. Laevsky

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    K. V. Voronin & Yu. M. Laevsky

  3. North-Eastern Federal University, ul. Belinskogo 58, Yakutsk, Sakha (Yakutia), 677000, Russia

    A. V. Grigoriev

Authors
  1. K. V. Voronin
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  2. A. V. Grigoriev
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  3. Yu. M. Laevsky
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Correspondence to K. V. Voronin.

Additional information

Original Russian Text © K.V. Voronin, A.V. Grigoriev, Yu.M. Laevsky, 2017, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2017, Vol. 20, No. 2, pp. 145–155.

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Voronin, K.V., Grigoriev, A.V. & Laevsky, Y.M. On an approach to the modeling of oil wells. Numer. Analys. Appl. 10, 120–128 (2017). https://doi.org/10.1134/S1995423917020033

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  • DOI: https://doi.org/10.1134/S1995423917020033

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