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Two-dimensional flow in porous strata with conductivity modeling by a harmonic function of the coordinates

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Abstract

Boundary-value problems of two-dimensional flows in porous media are investigated in finite form for a broad class of strata with harmonic conductivity. The conformal covariance of the conjugation problem formulated is demonstrated. This makes it possible to reduce it to a canonical problem whose solutions are represented by quadratures. The solutions obtained are applied to new problems associated with the operation of a well in soil strata under complex geological conditions.

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Authors and Affiliations

  1. Orel

    V. F. Piven'

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  1. V. F. Piven'
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Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 102–112, May–June, 1995.

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Piven', V.F. Two-dimensional flow in porous strata with conductivity modeling by a harmonic function of the coordinates. Fluid Dyn 30, 418–427 (1995). https://doi.org/10.1007/BF02282454

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  • DOI: https://doi.org/10.1007/BF02282454

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