Abstract
The freezing point of offshore saline sand is required to evaluate the formation of frozen walls during artificial freezing construction in coastal areas, which strongly depends on solute species and concentrations. In this study, 33 groundwater samples from Tianjin Binhai New Area were collected for salinity analysis, with Na+, Cl− and SO42− being the predominant ionic components. After salt leaching of the field collected sand, saturated samples with single solute (NaCl, KCl, CaCl2, MgCl2, NaHCO3 and Na2SO4) and multiple solutes (original salt and CaCl2) were prepared. The freezing points of soil samples were determined by the cooling curve method, while the suction by the filter paper method. The results reveal that the freezing point depresses with greater salt content. The effect of cations on freezing point can be ranked as Mg2+ > Ca2+ > Na+ > K+ for certain Cl− concentrations, which is linked to ion hydration capacity. Soil suction is dominated by osmotic suction, with matric suction as a minor component. A cationic impact resembling the freezing point was also noted. The greater the osmotic suction, the lower the freezing point. Based on the extended UNIQUAC model, the freezing points of aqueous solutions with single and multiple solutes were calculated, and the discrepancies with test data for offshore saline sands were discussed from the perspectives of osmotic suction and colloidal double electrical layer. A model for the freezing point of offshore saline sand was developed by incorporating the osmotic coefficient and solute concentration, and its rationality was verified by test data.
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References
Serttikul C, Datta AK, Rattanadecho P (2019) Effect of layer arrangement on 2-D numerical analysis of freezing process in double layer porous packed bed. Int J Heat Technol 37(1):273–284. https://doi.org/10.18280/ijht.370133
Hou R, Li T, Fu Q et al (2019) Characteristics of water–heat variation and the transfer relationship in sandy loam under different conditions. Geoderma 340:259–268. https://doi.org/10.1016/j.geoderma.2019.01.024
Chen X (1995) Comprehensive design method of freeze wall and its application. J Coal Sci Eng (China) 01:79–84
Zhang Y (2006) Application of artificial freezing method in Tianjin subway construction. Tianjin University (Dissertation, in Chinese)
Yang X, Ji Z, Zhang P et al (2019) Model test and numerical simulation on the development of artificially freezing wall in sandy layers considering water seepage. Transp Geotech 21:100293. https://doi.org/10.1016/j.trgeo.2019.100293
Watanabe K, Mizoguchi M (2002) Amount of unfrozen water in frozen porous media saturated with solution. Cold Reg Sci Technol 34(2):103–110. https://doi.org/10.1016/S0165-232X(01)00063-5
Wan X, Zhong C, Yang Z et al (2021) Water and salt phase change in sodium sulfate soil based on differential scanning calorimetry. Soils Found 61(2):401–415. https://doi.org/10.1016/j.sandf.2020.12.006
Wan X, Liu E, Qiu E (2020) Study on ice nucleation temperature and water freezing in saline soils. Permafrost Periglac 32:119–138. https://doi.org/10.1002/ppp.2081
Wan X, Liu E, Qiu E et al (2020) Study on phase change of ice and salt in saline soils. Cold Reg Sci Technol 172:102988. https://doi.org/10.1016/j.coldregions.2020.102988
Alzoubi MA, Xu M, Hassani FP et al (2020) Artificial ground freezing: A review of thermal and hydraulic aspects. Tunn Undergr Sp Tech 104:103534. https://doi.org/10.1016/j.tust.2020.103534
Shah R, Mir BA (2022) The freezing point of soils and the factors affecting its depression. In: Loon LY, Subramaniyan M, Gunasekaran K (eds) Advances in Construction Management. Lecture Notes in Civil Engineering, vol 191. Springer, Singapore. https://doi.org/10.1007/978-981-16-5839-6_14
Wang S, Ye W, Wang Y et al (2022) Evaluation of the relationship between freezing point and clay activity of loess. J Soils Sediments 22:2262–2280. https://doi.org/10.1007/s11368-022-03235-7
Parameswaran VR (1982) Electric freezing potentials in water and soils. Proc 3rd Int Symp Ground Freezing Hanover, New Hampshire
Rahman R, Bheemasetti TV (2021) Evaluation studies on freezing point depression of stabilized frost-susceptible soil. Int Found Congr Eq Expo 2021, Dallas, Texas. https://doi.org/10.1061/9780784483411.020
Bing H, Ma W (2011) Laboratory investigation of the freezing point of saline soil. Cold Reg Sci Technol 67(1–2):79–88. https://doi.org/10.1016/j.coldregions.2011.02.008
Han Y, Wang Q, Kong Y et al (2018) Experiments on the initial freezing point of dispersive saline soil. CATENA 171:681–690. https://doi.org/10.1016/j.catena.2018.07.046
Zhang L, Yang C, Wang D et al (2022) Freezing point depression of soil water depending on its non-uniform nature in pore water pressure. Geoderma 412:115724. https://doi.org/10.1016/j.geoderma.2022.115724
Zhou JZ, Meng XC, Wei CF et al (2020) Unified Soil Freezing Characteristic for Variably-Saturated Saline Soils. Water Resour Res 56(7):e2019WR026648. https://doi.org/10.1029/2019WR026648
Wang Q, Qi J, Wang S et al (2020) Effect of freeze-thaw on freezing point of a saline loess. Cold Reg Sci Technol 170:102922. https://doi.org/10.1016/j.coldregions.2019.102922
Andersland OB, Ladanyi B (2004) Frozen Ground Engineering, 2nd edn. John Wiley & Sons Inc, Hoboken
Zhou X, Wang S, Yao X et al (2022) Evaluation of the relationship between freezing point and suction in chloride loess. Int Commun Heat Mass 130:105780. https://doi.org/10.1016/j.icheatmasstransfer.2021.105780
Xiao Z, Lai Y, Zhang M (2018) Study on the freezing temperature of saline soil. Acta Geotech 13:195–205. https://doi.org/10.1007/s11440-017-0537-1
Mizoguchi M (1993) A deviation of matric potential in frozen soil. Bull Fac Bioresour Mie Univ 10:175–182
Zhou J, Wei C, Lai Y et al (2018) Application of the generalized Clapeyron equation to freezing point depression and unfrozen water content. Water Resour Res 54(11):9412–9431. https://doi.org/10.1029/2018WR023221
Pitzer KS (1991) Activity Coefficients in Electrolyte Solutions. CRC Press, Boca Raton, FL
ASTM International (2017) Standard Practice for Classification of Soils for Engineering Purposes (Unified Soil Classification System) (ASTM D2487–17e1)
Ministry of Water Resources of the People’s Republic of China (2019) Standard for Geotechnical Testing Method, GB/T 50123–2019. China Planning Press, Beijing (in Chinese)
Grechishchev SE, Instanes A, Sheshin JB et al (2001) Laboratory investigation of the freezing point of oil-polluted soils. Cold Reg Sci Technol 32(2–3):183–189. https://doi.org/10.1016/S0165-232X(01)00030-1
Leong EC, He L, Rahardjo H (2002) Factors affecting the filter paper method for total and matric suction measurements. Geotech Test J 25(3):1–12. https://doi.org/10.1520/GTJ11094J
ASTM International (2016) Standard Test Method for Measurement of Soil Potential (Suction) Using Filter Paper (ASTM D5298–16)
Zhu ZC, Sun DA, Zhou AN et al (2016) Calibration of two filter papers at different temperatures and its application to GMZ bentonite. Environ Earth Sci 75:509. https://doi.org/10.1007/s12665-015-5117-9
Xu J, Lan W, Li Y et al (2020) Heat, water and solute transfer in saline loess under uniaxial freezing condition. Comput Geotech 118:103319. https://doi.org/10.1016/j.compgeo.2019.103319
Wen Y, Shao J (1976) Ionic polarization and ion hydration energy. Chin Sci Bull 2:84–85 (in Chinese)
Lu N, Likos WJ (2004) Unsaturated Soil Mechanics. John Wiley & Sons Inc, Hoboken
Feher J (2017) Quantitative Human Physiology, 2nd edn. Academic Press
Thomsen K (1997) Aqueous electrolytes: model parameters and process simulation. Technical University of Denmark (Dissertation)
Liu Z, Liu J, Xu L et al (2017) Experimental study on freezing point and deformation characteristics of unsaturated silty clay subjected to freeze-thaw cycles. Chin J Geotech Eng 39(8):1381–1387. https://doi.org/10.11779/CJGE201708004 (in Chinese)
Watanabe K, Wake T (2008) Hydraulic conductivity in frozen unsaturated soil. Proc. 9th Int Conf Permafrost, Fairbanks
Hardy SC, Coriell SR (1968) Morphological stability and the ice-water interfacial free energy. J Cryst Growth 3:569–573. https://doi.org/10.1016/0022-0248(68)90225-X
Thomsen K, Rasmussen P, Gani R (1996) Correlation and prediction of thermal properties and phase behavior for a class of aqueous electrolyte systems. Chem Eng Sci 51(14):3675–3683. https://doi.org/10.1016/0009-2509(95)00418-1
Nicolaisen H, Rasmussen P, Sørensen JM (1993) Correlation and prediction of mineral solubilities in the reciprocal salt system (Na+, K+)(Cl−, SO42−)−H2O at 0–100°C. Chem Eng Sci 48:3149–3158. https://doi.org/10.1016/0009-2509(93)80201-Z
Sander B, Rasmussen P, Aa F (1986) Calculation of solid-liquid equilibria in aqueous solutions of nitrate salts using an extended UNIQUAC equation. Chem Eng Sci 41:1197–1202. https://doi.org/10.1016/0009-2509(86)87092-0
García AV, Thomsen K, Stenby EH (2006) Prediction of mineral scale formation in geothermal and oilfield operations using the Extended UNIQUAC model: Part II. Carbonate-scaling minerals. Geothermics 35(3):239–284. https://doi.org/10.1016/j.geothermics.2006.03.001
Abrams DS, Prausnitz JM (1975) Statistical thermodynamics of liquid mixtures: A new expression for the excess Gibbs energy of partly or completely miscible systems. AIChE J 21:116–128. https://doi.org/10.1002/aic.690210115
Maurer G, Prausnitz JM (1978) On the derivation and extension of the UNIQUAC equation. Fluid Phase Equilibr 2:91–99. https://doi.org/10.1016/0378-3812(78)85002-X
Fennema OR, Powrie WD, Marth EH (1973) Low-temperature preservation of foods and living matter. Marcel Dekker Inc., New York, USA
Rahman S (2009) Food Properties Handbook, 2. CRC Press, Boca Raton, USA
Alonso HAT, Peralta JM, Rubiolo AC et al (2011) Prediction of the freezing point of multicomponent liquid refrigerant solutions. J Food Eng 104(1):143–148. https://doi.org/10.1016/j.jfoodeng.2010.12.006
Grahame DC (1947) The electrical double layer and the theory of electro capillarity. Chem Rev 41:441–449. https://doi.org/10.1021/cr60130a002
Park S, Seo M (2011) Interface Science and Composites, 1st edn. Academic Press, Washington, DC
Zhou K, Xu Z (2018) Renormalization of Ionic Solvation Shells in Nanochannels. ACS Appl Mater Interface 10(33):27801–27809. https://doi.org/10.1021/acsami.8b09232
Cheng C (2009) The structure of electrical double layers of soil colloidal particles and its influencing factors. Nanjing Agricultural University (Dissertation, in Chinese)
Funding
This research was financially supported by the National Natural Science Foundation of China (Nos. 41972279 and 51778528), the Basic Research Program of Natural Science of Shaanxi Province (No. 2019JLM-56), and the Key Research and Development project of Shaanxi Province (No. 2022SF-197). These supports are greatly appreciated.
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Weihang Ye, Yang Wang and Jiulong Ding. Methodology and Funding acquisition were performed by Songhe Wang, Hua Liu and Jian Xu. The first draft of the manuscript was written by Weihang Ye and Songhe Wang and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Ye, W., Wang, S., Wang, Y. et al. Evaluation of the freezing point of offshore saline sand based on the extended UNIQUAC model. Heat Mass Transfer 59, 1139–1154 (2023). https://doi.org/10.1007/s00231-022-03327-7
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DOI: https://doi.org/10.1007/s00231-022-03327-7