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An approximate solution of some two-dimensional problems of nonstationary filtration

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Abstract

A method of approximate solution of the two-dimensional problems of nonstationary filtration of a gas is proposed. It is based on the application of the method of conformai mapping and the method of successive change of stationary states. The nonstationary influx of a gas into the well is computed by way of example.

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Literature cited

  1. P. Ya. Polubarinova-Kochina, “Some two-dimensional problems of the theory of filtration of gas in coal bed,∝ Prikl. Mat. Mekh.,18, No. 1 (1954).

  2. I. A. Charnyi, “Method of successive change of stationary states and its application to the problems of nonstationary filtration of gases and liquids,∝ Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 3 (1949).

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Authors and Affiliations

  1. Donets State University, Donets

    Yu. M. Kovalev

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  1. Yu. M. Kovalev
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 166–168, July–August, 1975.

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Kovalev, Y.M. An approximate solution of some two-dimensional problems of nonstationary filtration. Fluid Dyn 10, 680–682 (1975). https://doi.org/10.1007/BF01026719

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  • DOI: https://doi.org/10.1007/BF01026719

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