Skip to main content
Log in

Structure of the colmatage layer in the neighborhood of a moving boundary

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The penetration of particles suspended in a liquid into a porous medium is studied. The problem describing changes in the properties of the medium in the neighborhood of a moving boundary is formulated. A solution method is proposed, and flow features are investigated. The structure of the region of significant changes in the properties of the medium and flow depends significantly on the rate of displacement of the moving boundary

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. A. Zhuzhikov, Filtering. Theory and Practice of Separation of Suspensions [in Russian], Khimiya, Moscow (1971).

    Google Scholar 

  2. Yu. M. Shekhtman, Filtration of Low-Concentration Suspensions [in Russian], Izd. Akad. Nauk SSSR, Moscow (1961).

    Google Scholar 

  3. N. Makovei, Hydraulics of Drilling [in Russian], Nedra, Moscow (1986).

    Google Scholar 

  4. N. N. Mikhailov, Changes in the Physical Properties of Rock near Boreholes [in Russian], Nedra, Moscow (1987).

    Google Scholar 

  5. J. P. Herzig, D. M. Leclerc, and P. le Goff, “Flow of suspensions through porous media-application to deep filtration,” Industr. Eng. Chem., 62, No. 5, 8–35 (1970).

    Article  Google Scholar 

  6. Yu. I. Kapranov, “On the filtration of suspended solids,” Prikl. Mat. Mekh., 63, No. 4, 620–628 (1999).

    MATH  MathSciNet  Google Scholar 

  7. J. Litwyniszhyn, “On suspension flow in a porous medium,” Int. J. Eng. Sci., 5, No. 5, 435–454 (1967).

    Article  Google Scholar 

  8. Development of Research on Filtration Theory in the USSR (1917–1967) [in Russian], Nauka, Moscow (1969).

  9. T. Iwasaki, “Some notes on sand filtration,” J. Amer. Water Works Assoc., 29, No. 10, 1591–1602 (1937).

    Google Scholar 

  10. K. J. Ives, “Deep filters,” Filtrat. Separat., 4, No. 2, 125–134 (1967).

    Google Scholar 

  11. J. Litwiniszyn, “Colmatage considered as a certain stochastic process,” Bull. Acad. Pol. Sci., Sér. Sci. Tech., 11, No. 3, 81 (1963).

    Google Scholar 

  12. C. Gruesbeck and R. E. Collins, “Entrainment and deposition of fine particles in porous media,” SPE J., No. 12, 847–856 (1982).

  13. A. M. Svalov, Mechanics of Drilling and Oil and Gas Production [in Russian], Librokom, Moscow (2008).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu. I. Kapranov.

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 52, No. 6, pp. 77–91, November–December, 2011.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kapranov, Y.I., Tropin, N.M. Structure of the colmatage layer in the neighborhood of a moving boundary. J Appl Mech Tech Phy 52, 912–923 (2011). https://doi.org/10.1134/S0021894411060095

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894411060095

Key words

Navigation