Skip to main content
SpringerLink
Log in

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

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  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).

    Google Scholar 

  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.

    Google Scholar 

  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.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow

    N. S. Rostovskii & V. I. Selyakov

Authors
  1. N. S. Rostovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Selyakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

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

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01075153

Keywords

Search

Navigation