Abstract.
A long controversy of ice lensing exists in the research of frost heave. By elucidating the mechanical and thermodynamic equilibria at the interface, the thermodynamics of the water/ice interface is revealed from macroscale to microscale for the freezing of colloidal suspensions. The application of the Clapeyron equation is confirmed both at macroscale to microscale via curvature effect. The origin of ice lensing/banding can be initialized from the growth of pore ice in the interpretation of thermodynamics at the interface, even without the traditional mechanical analyses. It is also proposed that the packing status of the porous structure in the particle layer ahead of the water/ice interface determines the ice lensing behaviors. The results presented here show different scenarios compared with previous theoretical investigations of frost heave, and may shed light on the researches of this area.
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References
P.J. Williams, M.W. Smith, The Frozen Earth (Cambridge University Press, New York, 1991)
S. Taber, J. Geol. 37, 428 (1929)
R. Gilpin, Water Resour. Res. 16, 918 (1980)
K. O’Neill, R.D. Miller, Water Resour. Res. 21, 281 (1985)
J. Nixon, Can. Geotech. J. 28, 843 (1991)
A.W. Rempel, J. Wettlaufer, M.G. Worster, J. Fluid Mech. 498, 227 (2004)
K. Watanabe, M. Mizoguchi, J. Cryst. Growth 213, 135 (2000)
J. You, J. Wang, L. Wang, Z. Wang, J. Li, X. Lin, Formation mechanism of ice banding in freezing colloidal suspensions, arXiv preprint, arXiv:1605.03802 [cond-mat.mtrl-sci] (2016)
R.W. Style, S.S. Peppin, A.C. Cocks, J.S. Wettlaufer, Phys. Rev. E 84, 041402 (2011)
J. You, L. Wang, Z. Wang, J. Li, J. Wang, X. Lin et al., Sci. Rep. 6, 28434 (2015)
J.M. Schollick, R.W. Style, A. Curran, J.S. Wettlaufer, E.R. Dufresne, P.B. Warren et al., J. Phys. Chem. B 120, 3941 (2016)
J.-X. You, J.-C. Wang, L.-L. Wang, Z.-J. Wang, J.-J. Li, X. Lin, Chin. Phys. B 25, 128202 (2016)
L. Wang, J. You, Z. Wang, J. Wang, X. Lin, Sci. Rep. 6, 23358 (2015)
W. Ma, L. Zhang, C. Yang, Earth-Sci. Rev. 142, 47 (2015)
P.B. Black, Applications of the Clapeyron equation to water and ice in porous media, DTIC Document (1995)
L. Bronfenbrener, Cold Reg. Sci. Technol. 85, 137 (2013)
S.H. Davis, Theory of Solidification (Cambridge University Press, 2001)
J.W. Gibbs, Am. J. Sci. 16, 441 (1878)
R.D. Miller, J.H. Baker, J.H. Kolaian, Particle size, overburden pressure, pore water pressure and freezing temperature of ice lenses in soil, in Transactions of the International Congress on Soil Science, 1960 (International Society of Soil Science, 1960) pp. 122--129
S. Akagawa, S. Hiasa, S. Kanie, S. Huang, Pore water and effective pressure in the frozen fringe during soil freezing, in Ninth International Conference on Permafrost, edited by D.L. Kane, K.M. Hinkel, Vols. 1-2 (Institute of Northern Engineering, University of Alaska Fairbanks, 2008) pp. 13--18
A. Rempel, M. Worster, J. Cryst. Growth 205, 427 (1999)
J. Wettlaufer, M.G. Worster, Annu. Rev. Fluid Mech. 38, 427 (2006)
Z. Wang, J. Wang, G. Yang, Scr. Mater. 61, 915 (2009)
J. You, J. Wang, L. Wang, Z. Wang, Z. Wang, J. Li et al., Colloids Surf. A: Physicochem. Eng. Asp. 531, 93 (2017)
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Wang, L., Wang, Z. Reconsidering the Clapeyron equation in the freezing of colloidal suspensions: From macroscale to the microscale. Eur. Phys. J. E 40, 113 (2017). https://doi.org/10.1140/epje/i2017-11601-x
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DOI: https://doi.org/10.1140/epje/i2017-11601-x