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Effect of the microinhomogeneity of the medium on the flow law in porous media

Abstract

A lattice percolation model of an inhomogeneous medium [6] introducing f(r), the probability density function of the microcapillaries with respect to their radius r, is employed. The calculation scheme described makes it possible to determine the dependence of the permeability K on the pressure gradient G for media with arbitrary f(r). It is shown that for inhomogeneous media the behavior of K(G) is mainly determined by the form of f(r). The question of the effect of the state of stress on the permeability of the medium is considered.

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Literature cited

  1. 1.

    N. V. Demin, Yu. P. Kislyakov, and V. T. Morozova, “Dependence of the permeability of the medium on the pressure gradient,” Neft. Khoz., No. 12, 30 (1966).

  2. 2.

    K. Ya. Korobov and Yu. V. Antipin, “Investigation of flow through porous media at low pressure gradients,” in: Use of Newtonian Systems in Oil Extraction [in Russian], VNIIOÉNG, Moscow (1970), p. 151.

  3. 3.

    N. P. Skvortsov, “Experimental investigation of the flow process in clays,” in: The Study and Utilization of Water Resources [in Russian], IVP AN SSSR, Moscow (1979), p. 25.

  4. 4.

    A. G. Ar'e, Physical Principles of Ground Water Flow [in Russian], Nedra, Moscow (1984).

  5. 5.

    A. E. Sheidegger, The Physics of Flow Through Porous Media, Macmillan, New York (1957).

  6. 6.

    V. I. Selyakov, “Conductivity of granular and vesicular media,” Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 12, 44 (1986).

  7. 7.

    A. D. Al'tshul', Hydraulic Resistance [in Russian], Nedra, Moscow (1982).

  8. 8.

    I. E. Idel'chik, Hydraulic Resistance Manual (Local and Frictional Resistance Coefficients) [in Russian], Énergoizdat, Moscow (1966).

  9. 9.

    L. M. Marmorshtein, Reservoir and Screening Properties of Sedimentary Rocks Under Various Thermodynamic Conditions [in Russian], Nedra, Leningrad (1975).

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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 84–94, March–April, 1989.

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Rostovskii, N.S., Selyakov, V.I. Effect of the microinhomogeneity of the medium on the flow law in porous media. Fluid Dyn 24, 232–242 (1989). https://doi.org/10.1007/BF01075153

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Keywords

  • Permeability
  • Porous Medium
  • Density Function
  • Probability Density
  • Pressure Gradient