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Pinning of Water Imbibition Front In Porous Media

Published online by Cambridge University Press:  10 February 2011

Po-Zen Wong
Affiliation:
Department of Physics and Astronomy, University of Massachusetts, Amherst, MA 01003
Thomas Delker
Affiliation:
Department of Physics and Astronomy, University of Massachusetts, Amherst, MA 01003
Morgan Hott
Affiliation:
Department of Physics and Astronomy, University of Massachusetts, Amherst, MA 01003
David B. Pengra
Affiliation:
Department of Physics and Astronomy, University of Massachusetts, Amherst, MA 01003
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Abstract

We report a study of the dynamics of capillary rise of water in a column of glass beads. The water column height h is measured as a function of time t. Analyzing the late-time data in terms of critical pinning, dh/dt α (PPa)β, we find an anomalously large exponent β. A similar measurement for contact line pinning in capillary tubes indicates β < 1. We discuss these findings in light of recent theories for domain wall pinning in the random-field Ising model and suggest a new equation of motion which corresponds to the Wolf-Villain model with quenched noise.

Type
Research Article
Copyright
Copyright © Materials Research Society 1996

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References

REFERENCES

1. Koplik, J. and Levine, H., Phys. Rev. B 32, 280 (1985).Google Scholar
2. Stokes, J. P. et al., Phys. Rev. Lett. 65, 1885 (1990).Google Scholar
3. Wong, P.-z. and Cable, J. W., Phys. Rev. B 28, 5361 (1983).Google Scholar
4. Bruinsma, R. and Aeppli, G., Phys. Rev. Lett. 52, 1547 (1984)Google Scholar
5. Grinstein, G. and Ma, S.-k., Phys. Rev. B 28, 2588 (1983).Google Scholar
6. Nattermann, T. et al., J. Physique II 2, 1483 (1992).Google Scholar
7. Narayan, O. and Fisher, D. S., Phys. Rev. B 48, 7030 (1993).Google Scholar
8. He, S., Kahanda, G. L. M. K. S., and Wong, P.-z., Phys. Rev. Lett. 69, 3731 (1992).Google Scholar
9. See, e.g., Wong, P.-z., MRS Bull. 19, No. 5, 32 (1994), and references therein.Google Scholar
10. Stokes, J. P., Kushnick, A. P., and Robbins, M. O., Phys. Rev. Lett. 60, 1386 (1988).Google Scholar
11. Delker, T., Senior Honors Thesis, University of Massachusetts at Amherst (1995).Google Scholar
12. Washburn, E. W., Phys. Rev. 17, 273 (1921).Google Scholar
13. Delker, T., Pengra, D. B., and Wong, P.-z., MRS Fall Meeting, N3.44 (Boston, 1995).Google Scholar
14. See, e.g., Ertaş, D. and Kardar, M., Phys. Rev. E 49, R2532 (1994).Google Scholar
15. Wolf, D. E. and Villain, J., Europhys. Lett. 13, 389 (1990).Google Scholar
16. Hohenberg, P. C. and Halperin, B. I., Rev. Mod. Phys. 49, 435 (1977).Google Scholar