Skip to main content

Viscous Fingering and Surface Structure Formation in Porous Media

  • Chapter
Instabilities in Multiphase Flows

Abstract

Finger-like instability with immiscible displacement of one viscous fluid with the other from porous material has been studied experimentally for two main cases: transparent two-dimensional model of porous medium with chaotic distribution of volumetric pores and thin 1×20×66 sm sample of arenaceous quartz placed horizontally. Data on selection of surface structures with instable displacement front in two-dimensional and three-dimensional pore systems has been obtained. In porous materials occur various phenomena related with the stability of interphase boundary in random medium when the capillary forces govern interphase boundary motion in small scale and viscous forces in a large one. As the result, capillary instability in small scale generating the noise with large amplitude and viscous instability in large scale are simultaneously developed. Surface structures development with viscous fingergrowing when there is large noise has been in detail studied and the experimental data are discussed from the standpoint of well-known theoretical models of viscous fingergrowing.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bensimon, D., 1986, On the stability of viscous fingering, Phys. Rev. A 33: 1302.

    Article  Google Scholar 

  • Bensimon, D., Kadanoff, L. P., Liang, S., et al., 1986, Viscous flow in two dimensions, Rev. Modern Phys. 58: 977.

    Article  Google Scholar 

  • Chandler, R., Koplik, T., et al., 1982, Capillary displacement and percolation in porous media, J. Fluid Mech. 119: 249.

    Article  Google Scholar 

  • Chuoke, R. L., Van Meurs, P., and Van der Poel, C., 1958, The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media, Trans. AIME 216: 188.

    Google Scholar 

  • Collins, R. E., 1961, “Flow of Fluids through Porous Materials”, Reinhold Publishing Corporation, New York.

    Google Scholar 

  • Homsy, G. M., 1987, Viscous fingering in porous media, Annu. Rev. Fluid Mech. 19: 271.

    Article  Google Scholar 

  • Kuznetsov, V. V., and Dimov, S. V., 1991, Microstructure of two-phase flow in porous media, Proceedings of “International Seminar on Heat and Mass Transfer in Porous Media”, Dubrovnic, Yugoslavia.

    Google Scholar 

  • Liang, S., 1986, Random walk simulations of flow in Hele-Shaw cells, Phys. Rev. A 33: 2663.

    Article  Google Scholar 

  • Saffman, P. G., and Taylor, G. I., 1958, The penetration of fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, Proc. Royal Soc. Ser. A 245: 312.

    Article  CAS  Google Scholar 

  • Wilkinson, P., and Willemsen, J. F., 1983, Invasion Percolation: New Form of Percolation Theory, J. Phys. A, 16: 3365.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media New York

About this chapter

Cite this chapter

Kuznetsov, V.V., Bocharov, O.B., Vitovsky, O.V. (1993). Viscous Fingering and Surface Structure Formation in Porous Media. In: Gouesbet, G., Berlemont, A. (eds) Instabilities in Multiphase Flows. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1594-8_26

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-1594-8_26

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1596-2

  • Online ISBN: 978-1-4899-1594-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics