The kinetics of ice-lens growth in porous media

Journal of Fluid Mechanics

Volumn 692, Issue , 2012, Pages 482-498

  Style, Robert W ^a,b   Peppin, Stephen S L ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b YALE UNIVERSITY   (United States)

Author keywords

colloids; lubrication theory; solidification melting

Indexed keywords

COLLOIDS; FILMS; FREEZING; GROWTH KINETICS; GROWTH RATE; POROUS MATERIALS; SOLS;

CLAPEYRON EQUATIONS; COARSE GRAINED PARTICLES; COLLOIDAL MATERIALS; EXTERNAL PRESSURES; FREEZING POROUS MEDIA; INTERFACIAL RESISTANCES; LUBRICATION THEORY; SOLIDIFICATION/MELTING;

ICE;

COLLOID; EXPERIMENTAL STUDY; FLUID MECHANICS; FREEZING; FROST HEAVE; ICE MECHANICS; KINETICS; MELTWATER; POROUS MEDIUM; SILT; TEMPERATURE EFFECT; THEORETICAL STUDY;

EID: 84857245356     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.545     Document Type: Article

References (35)

1. BATCHELOR, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
2. BELL, F. G. 2000 Engineering Properties of Soils and Rocks. Blackwell.
3. BESKOW, G. 1935 Soil Freezing and Frost Heaving With Special Attention to Roads and Railroads, The Swedish Geological Society, c, no. 375, year book no. 3. Technological Institute, North-Western University. Reprinted in Historical Perspectives in Frost Heave Research, (ed. P. B. Black and M. J. Hardenberg), pp. 37-157. CRREL Special Report 91-23, 1991.
4. BIERMANS, M. B. G. M., DIJKEMA, K. M. & DE VRIES, D. A. 1978 Water movement in porous media towards an ice front. J. Hydrol. 37, 137-148.
5. BUTT, H. J., DOPPENSCHMIDT, A., HUTTL, G., MULLER, E. & VINOGRADOVA, O. I. 2000 Analysis of plastic deformation in atomic force microscopy: application to ice. J. Chem. Phys. 113, 1194.
6. DASH, J. G., REMPEL, A. W. & WETTLAUFER, J. S. 2006 The physics of premelted ice and its geophysical consequences. Rev. Mod. Phys. 78, 695-741. (Pubitemid 44464360)
7. DEVILLE, S., SAIZ, S. & TOMSIA, A. P. 2007 Ice-templated porous alumina structures. Acta Mater. 55, 1965-1974.
8. 2. Phys. Rev. Lett. 92 (20), 205701.
9. GAO, J., LUEDTKE, W. D. & LANDMAN, U. 2000 Structures, solvation forces and shear of molecular films in a rough nano-confinement. Tribol. Lett. 9, 3-13.
10. GOERTZ, M. P., HOUSTON, J. E. & ZHU, X. Y. 2007 Hydrophilicity and the viscosity of interfacial water. Langmuir 23, 5491-5497. (Pubitemid 46826498)
11. KONRAD, J. M. 1987 Procedure for determining the segregation potential of freezing soils. Geotech. Testing J. 10, 51-58.
12. MILLER, R. D. 1977 Lens initiation in secondary heaving. In Proceedings of the International Symposium on Frost Action in Soils, vol. 2. Sweden. University of Lulea.
13. MULDREW, K., ACKER, J. P., ELLIOTT, J. A. W. & MCGANN, L. E. 2004 The water to ice transition: implications for living cells. In Life in the Frozen State (ed. B. J. Fuller, E. E. Benson & N. Lane). CRC Press.
14. OZAWA, H. & KINOSITA, S. 1989 Segregated ice growth on a microporous filter. J. Colloid Interface Sci. 132, 113-124.
15. PENNER, E. 1968 Particle size as a basis for predicting frost action in soils. Soils Found. 8, 21-29.
16. PENNER, E. 1973 Frost heaving pressures in particulate materials. In OECD Symposium on Frost Action on Roads, vol. 1. pp. 379-385.
17. PENNER, E. & GOODRICH, L. E. 1981 Location of segregated ice in frost-susceptible soil. Engng Geol. 18, 231-244. (Pubitemid 12470061)
18. PEPPIN, S. S. L., ELLIOTT, J. A. W. & WORSTER, M. G. 2006 Solidification of colloidal suspensions. J. Fluid Mech. 554, 147-166.
19. PERDIGON-ALLER, A. C., ASTON, M. & CLARKE, S. M. 2005 Preferred orientation in filtercakes of kaolinite. J. Colloid Interface Sci. 290, 155-165. (Pubitemid 41196722)
20. PITTENGER, B., FAIN, S. C., COCHRAN, M. J., DONEV, J. M. K., ROBERTSON, B. E., SZUCHMACHER, A. & OVERNEY, R. M. 2001 Premelting at ice-solid interfaces studied via velocity-dependent indentation with force microscope tips. Phys. Rev. B 63, 134102.
21. REMPEL, A. W. 2007 Formation of ice lenses and frost heave. J. Geophys. Res. 112, F02S21.
22. REMPEL, A. W., WETTLAUFER, J. S. & WORSTER, M. G. 2001 Interfacial premelting and the thermomolecular force: thermodynamic buoyancy. Phys. Rev. Lett. 87 (8), 088501.
23. REMPEL, A. W., WETTLAUFER, J. S. & WORSTER, M. G. 2004 Premelting dynamics in a continuum model of frost heave. J. Fluid Mech. 498, 227-244. (Pubitemid 38237398)
24. ROOS, Y. H. 1995 Phase Transitions in Foods. Academic. ROSEBERG, R. 2005 Why is ice slippery? Phys. Today 58, 50-55.
25. SETO, J. T. C. & KONRAD, J.-M. 1994 Pore pressure measurements during freezing of an overconsolidated clayey silt. Cold Reg. Sci. Technol. 22, 319.
26. STYLE, R. W., PEPPIN, S. S. L., COCKS, A. C. F. & WETTLAUFER, J. S. 2011 Ice-lens formation and geometrical supercooling in soils and other colloidal materials. Phys. Rev. E 84, 041402.
27. STYLE, R. W. & WORSTER, M. G. 2005 Surface transport in premelted films with application to grain-boundary grooving. Phys. Rev. Lett. 95, 176102.
28. VLAHOU, I. & WORSTER, M. G. 2010 Ice growth in a spherical cavity of a porous medium. J. Glaciol. 56 (196), 271-277.
29. WATANABE, K. 2002 Relationship between growth rate and supercooling in the formation of ice lenses in a glass powder. J. Cryst. Growth 237-239, 2194-2198. (Pubitemid 34545263)
30. WATANABE, K. & MIZOGUCHI, M. 2000 Ice configuration near a growing ice lens in a freezing porous medium consisting of micro glass particles. J. Cryst. Growth 213, 135-140.
31. WATANABE, K., MIZOGUCHI, M., ISHIZAKI, T. & FUKUDA, M. 1997 Experimental study on microstructure near freezing front during soil freezing. In Ground Freezing 97: Frost Action in Soils. Proceedings of the International Symposium of Ground Freezing and Frost Action in Soils (ed. S. Knutsen), 15-17 April 1997, Lulea°, Sweden. Balkema, Rotterdam.
32. WATANABE, K., MUTO, Y. & MIZOGUCHI, M. 2001 Water and solute distributions near an ice lens in a glass-powder medium saturated with sodium chloride solution under unidirectional freezing. Cryst. Growth Des. 1, 207-211. (Pubitemid 33681126)
33. WETTLAUFER, J. S. 1999 Impurity effects in the premelting of ice. Phys. Rev. Lett 82 (12), 2516-2519. (Pubitemid 129689145)
34. WETTLAUFER, J. S., WORSTER, M. G., WILEN, L. A. & DASH, J. G. 1996 A theory of premelting dynamics for all power law forces. Phys. Rev. Lett 76 (19), 3602-3605. (Pubitemid 126631490)
35. WORSTER, M. G. & WETTLAUFER, J. S. 1999 The fluid mechanics of premelted liquid films. In Fluid Dynamics at Interfaces, pp. 339-351 Cambridge University Press.