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Macroscopic Pressure Filtration Field in a Medium with Double Porosity

  • HEAT AND MASS TRANSFER IN DISPERSED AND POROUS MEDIA
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Journal of Engineering Physics and Thermophysics Aims and scope

This article presents a mathematical model of the pressure filtration field in a porous medium with a skeleton formed by two solid phases of identical elemental composition but differing by porosity and permeability, in which the pore space of solid phases is filled by a homogeneous filtering liquid. Based on the continuity equations for each of the phases, equations have been found for the pressure field, and it was shown that the macroscopic averaged field is described by a nonlinear equation which in the case of a weakly compressible moving phase is reduced to the equation of piezoconductivity with an effective compressibility parameter. Based on the asymptotic method, expressions have been constructed for the zero and first coefficients of expansion of a nonlinear problem on macroscopic pressure filtration field in the case of one-dimensional axisymmetric radial filtration in an oil-bearing gassy bed. An approach is suggested establishing the correspondence between the pressure fields for the linear and radial flows. Results of calculations by the obtained analytical dependences and finite-difference algorithms are presented, and the ideas about the dynamics of the pressure filtration fields are refined.

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Authors and Affiliations

  1. Sterlitamak Branch of Bashkir State University, 49 Lenin Ave, Sterlitamak, 453100, Russia

    A. I. Filippov, A. A. Koval’skii, O. V. Akhmetova, M. A. Zelenova & M. R. Gubaidullin

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  1. A. I. Filippov
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  2. A. A. Koval’skii
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  3. O. V. Akhmetova
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  4. M. A. Zelenova
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  5. M. R. Gubaidullin
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Correspondence to A. I. Filippov.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 94, No. 4, pp. 863–874, July–August, 2021.

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Filippov, A.I., Koval’skii, A.A., Akhmetova, O.V. et al. Macroscopic Pressure Filtration Field in a Medium with Double Porosity. J Eng Phys Thermophy 94, 837–848 (2021). https://doi.org/10.1007/s10891-021-02360-3

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  • DOI: https://doi.org/10.1007/s10891-021-02360-3

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