Skip to main content
Log in

Permeability of mixed soft and hard granular material: Hydrogels as drainage modifiers

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract

We measure the flow of water through mixed packings of glass spheres and soft swellable hydrogel grains, at constant sample volume. Permeability values are obtained at constant sample volume and at porosities smaller than random close packing, for different glass bead diameters D and for variable gel grain diameter d, as controlled by the salinity of the water. The gel content is also varied. We find that the permeability decays exponentially in n(D/d )b, where n = N gel/N glass is the gel to glass bead number ratio and b is approximately 3. Therefore, flow properties are determined by the volume fraction of gel beads. A simple model based on the porosity of overlapping spheres is used to account for these observations.

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. H. Frenkel, J.O. Goertzen, J.D. Rhoades, Soil Sci. Soc. Am. J. 42, 32 (1978).

    Article  Google Scholar 

  2. G.J. Levy, D. Goldstein, A.I. Mamedov, Soil Sci. Soc. Am. J. 69, 653 (2005).

    Article  Google Scholar 

  3. F.L. Buchholz, J. Appl. Polym. Sci. 102, 4075 (2006).

    Article  Google Scholar 

  4. K.S. Kazanskii, S.A. Dubrovskii, Adv. Polym. Sci. 104, 97 (1996).

    Article  Google Scholar 

  5. A.K. Bhardwaj, I. Shainberg, D. Goldstein, D.N. Warrington, G.J. Levy., Soil Sci. Soc. Am. J. 71, 406 (2007).

    Article  Google Scholar 

  6. J. Kozeny, Wien Akad. Wiss. 136, 271 (1927).

    Google Scholar 

  7. P.C. Carman, Trans. Inst. Chem. Engin. London 15, 150 (1937).

    Google Scholar 

  8. F.A.L. Dullien Porous Media: Fluid Transport and Pore Structure (Academic Press, New York, 1979).

    Google Scholar 

  9. N.S. Martys, S. Torquato, D.P. Bentz, Phys. Rev. E 50, 403 (1994).

    Article  ADS  Google Scholar 

  10. D. Coelho, J.-F. Thovert, P.M. Adler, Phys. Rev. E 55, 1959 (1997).

    Article  ADS  Google Scholar 

  11. E. Zaman, P. Jalali, Physica A 389, 205 (2010).

    Article  ADS  Google Scholar 

  12. A.G. Loudon, Géotechnique 3, 165 (1952).

    Article  Google Scholar 

  13. R.P. Chapuis, Can. Geotech. J. 41, 787 (2004).

    Article  Google Scholar 

  14. G.S. Beavers, E.M. Sparrow, D.E. Rodenz, J. Appl. Mech. 40, 660 (1973).

    Article  Google Scholar 

  15. H. Weissberg, J. Appl. Phys. 34, 2636 (1963).

    Article  ADS  Google Scholar 

  16. C. Pan, M. Hilpert, C.T. Miller, Phys. Rev. E 64, 066702 (2001).

    Article  ADS  Google Scholar 

  17. P.Z. Wong, J. Koplik, J.P. Tomanic, Phys. Rev. B 30, 6606 (1984).

    Article  ADS  Google Scholar 

  18. P.-Z. Wong Methods in the Physics of Porous Media (Academic Press, San Diego, 1999).

    Article  ADS  Google Scholar 

  19. J.S. Andrade jr., M.P. Almeida, J. Mendes Filho, S. Havlin, B. Suki, H.E. Stanley, Phys. Rev. Lett. 79, 3901 (1997).

    Article  ADS  Google Scholar 

  20. P.N. Sen, C. Scala, M.H. Cohen, Geophysics 46, 781 (1981).

    Article  ADS  Google Scholar 

  21. J. Singh PhD dissertation, Department of Chemical Engineering, McGill University, Montreal, QC, Canada (1997).

    Article  ADS  Google Scholar 

  22. M. Rubinstein, R.H. Colby, A.V. Dobrynin, J.-F. Joanny, Macromolecules 29, 398 (1996).

    Article  ADS  Google Scholar 

  23. S. Vervoort, S. Patlazhan, J. Weyts, T. Budtova, Polymer 46, 121 (2005).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. Verneuil.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Verneuil, E., Durian, D.J. Permeability of mixed soft and hard granular material: Hydrogels as drainage modifiers. Eur. Phys. J. E 34, 65 (2011). https://doi.org/10.1140/epje/i2011-11065-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2011-11065-0

Keywords

Navigation