Abstract
This study focuses on the investigation of the predictive capability of the Clausius–Clapeyron (C–C) equation in conjunction with soil–water retention characteristics to estimate soil-freezing curves (SFC). The Clausius–Clapeyron equation together with soil–water retention (SWR) models can provide a quick estimation of SFCs. However, the validity of the equilibrium assumption may not be applicable in all scenarios of freezing and thawing. The overall goal of this study is to provide a comprehensive assessment of SWRC-derived soil-freezing curves for different types of soils under varying environmental conditions. An extensive set of data obtained from studies reported in the literature pertaining to thermally induced hydraulic properties of sand, silt, and clay soils from multiscale experiments was analyzed. In addition, in-house laboratory freeze–thaw experiments were performed using silty soil. The SFCs derived from the SWRC were in good agreement with the measured SFCs for sands, whereas significant discrepancies were noted for silt and clay soils. Intensified discrepancies were noted when the results from different experimental methods and changing boundary conditions were compared. A significant hydraulic hysteresis was observed and possible controlling mechanisms were explained. A reliable method to predict SFC from SWRC will enable accurate modeling of coupled heat transfer and water flow processes in the Arctic subsurface for sustainable built and natural environments.
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Acknowledgments
Financial support from the Institute of Sustainability, Energy, and Environment of the University of Illinois at Urbana-Champaign is greatly appreciated. The opinions belong to the authors alone.
References
Anderson, D. M., and A. R. Tice. 1973. “The unfrozen interfacial phase in frozen soil water systems.” In Physical aspects of soil water and salts in ecosystems. ecological studies (analysis and synthesis), Vol. 4, edited by A. Hadas, D. Swartzendruber, P. E. Rijtema, M. Fuchs, and B. Yaron, 107–124. Berlin, Heidelberg: Springer.
Azmatch, T. F., D. C. Sego, L. U. Arenson, and K. W. Biggar. 2012. “Using soil freezing characteristic curve to estimate the hydraulic conductivity function of partially frozen soils.” Cold Reg. Sci. Technol. 83–84: 103–109. https://doi.org/10.1016/j.coldregions.2012.07.002.
Black, P. B., and A. R. Tice. 1989. “Comparison of soil freezing curve and soil water curve data for Windsor sandy loam.” Water Resour. Res. 25 (10): 2205–2210. https://doi.org/10.1029/WR025i010p02205.
Brown, J., K. M. Hinkel, and F. E. Nelson. 2000. “The circumpolar active layer monitoring (CALM) program: Research designs and initial results.” Polar Geogr. 24 (3): 166–258. https://doi.org/10.1080/10889370009377698.
Caicedo, B. 2017. “Physical modelling of freezing and thawing of unsaturated soils.” Géotechnique 67 (2): 106–126. https://doi.org/10.1680/jgeot.15.P.098.
Coussy, O. 2005. “Poromechanics of freezing materials.” J. Mech. Phys. Solids 53 (8): 1689–1718. https://doi.org/10.1016/j.jmps.2005.04.001.
Flerchinger, G. N., M. S. Seyfried, and S. P. Hardegree. 2006. “Using soil freezing characteristics to model multi-season soil water dynamics.” Vadose Zone J. 5 (4): 1143–1153. https://doi.org/10.2136/vzj2006.0025.
Grant, S. A., and R. S. Sletten. 2002. “Calculating capillary pressures in frozen and ice-free soils below the melting temperature.” Environ. Geol. 42 (2–3): 130–136. https://doi.org/10.1007/s00254-001-0482-y.
Jame, Y. W., and D. I. Norum. 1972. “Phase composition of a partially frozen soil.” Fall annual meeting. Washington, D.C: American Geophysical Union.
Konrad, J. M., and N. R. Morgenstern. 1981. “The segregation potential of a frozen soil.” Can. Geotech. J. 18 (4): 482–491. https://doi.org/10.1139/t81-059.
Koopmans, R. W. R., and R. D. Miller. 1966. “Soil freezing and soil water characteristic curves.” Soil Sci. Soc. Am. J. 30 (6): 680–685. https://doi.org/10.2136/sssaj1966.03615995003000060011x.
Kurylyk, B. L., and K. Watanabe. 2013. “The mathematical representation of freezing and thawing processes in variably-saturated, non-deformable soils.” Adv. Water Resour. 60 (1): 160–177. https://doi.org/10.1016/j.advwatres.2013.07.016.
Liu, Z., B. Zhang, X. (Bill) Yu, B. Zhang, and J. Tao. 2012. “A new method for soil water characteristic curve measurement based on similarities between soil freezing and drying.” Geotech. Test. J. 35 (1): 2–10. https://doi.org/10.1520/GTJ103653.
Ma, T., C. Wei, X. Xia, J. Zhou, and P. Chen. 2017. “Soil freezing and soil water retention characteristics: Connection and solute effects.” J. Perform. Constr. Facil 31 (1): D4015001. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000851.
Miller, R. D. 1978. “Frost heaving in non-colloidal soils.” In Vol. 1 of Proc., 3rd Int. Conf. on Permafrost, 707–713. Ottawa: National Research Council of Canada.
Newman, G. P., and G. W. Wilson. 1997. “Heat and mass transfer in unsaturated soils during freezing.” Can. Geotech. J. 34 (1): 63–70. https://doi.org/10.1139/t96-085.
Ren, J., and S. K. Vanapalli. 2019. “Comparison of soil-freezing and soil–water characteristic curves of two Canadian soils.” Vadose Zone J. 18 (1): 1–14. https://doi.org/10.2136/vzj2018.10.0185.
Romanovsky, V. E., et al. 2010. “Thermal state of permafrost in Russia.” Permafr. Periglac. Process. 21 (2): 136–155. https://doi.org/10.1002/ppp.683.
Spaans, E. J. A., and J. M. Baker. 1996. “The soil freezing characteristic: Its measurement and similarity to the soil moisture characteristic.” Soil Sci. Soc. Am. J. 60 (1): 13–19. https://doi.org/10.2136/sssaj1996.03615995006000010005x.
Stiegler, C., M. Johansson, T. R. Christensen, M. Mastepanov, and A. Lindroth. 2016. “Tundra permafrost thaw causes significant shifts in energy partitioning.” Tellus B: Chem. Phys. Meteorol. 68 (1): 30467. https://doi.org/10.3402/tellusb.v68.30467.
van Genuchten, M. T. 1980. “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Watanabe, K., T. Kito, T. Wake, and M. Sakai. 2011. “Freezing experiments on unsaturated sand, loam and silt loam.” Ann. Glaciol. 52 (58): 37–43. https://doi.org/10.3189/172756411797252220.
Watanabe, K., and Y. Osada. 2016. “Comparison of hydraulic conductivity in frozen saturated and unfrozen unsaturated soils.” Vadose Zone J. 15 (5): 1–7. https://doi.org/10.2136/vzj2015.11.0154.
Watanabe, K., M. Takeuchi, Y. Osada, and K. Ibata. 2012. “Micro-chilled-mirror hygrometer for measuring water potential in relatively dry and partially frozen soils.” Soil Sci. Soc. Am. J. 76 (6): 1938–1945. https://doi.org/10.2136/sssaj2012.0070.
Williams, P. J. 1964. “Unfrozen water content of frozen soils and soil moisture suction.” Géotechnique 14 (3): 231–246. https://doi.org/10.1680/geot.1964.14.3.231.
Zhou, X., J. Zhou, W. Kinzelbach, and F. Stauffer. 2014. “Simultaneous measurement of unfrozen water content and ice content in frozen soil using gamma ray attenuation and TDR.” Water Resour. Res. 50 (12): 9630–9655. https://doi.org/10.1002/2014WR015640.
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© 2021 American Society of Civil Engineers.
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Received: Jun 24, 2020
Accepted: Oct 11, 2021
Published online: Nov 29, 2021
Published in print: Mar 1, 2022
Discussion open until: Apr 29, 2022
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