1. College of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, China 2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China 3. Key Laboratory of Bridge and Tunnel Health Monitoring and Safety Assessment Technology of Gansu Province, Gansu Provincial Transportation Research Institute Co. Ltd, Lanzhou 730030, China 4. School of Mechanics and Civil Engineering, China University of Mining and Technology, Beijing 100083, China
The unfrozen water mass fraction is the key parameter to evaluate the stability of the soil during the freezing process of saline and coastal areas. The main influencing factors are temperature and salt mass fraction. The differential form of matric suction of frozen soil was obtained by the freezing characteristic curve of salt-free soil, based on the generalized Clapeyron equation considering solute effect, and the Books-Corey model with residual water mass fraction. A theoretical model of soil freezing characteristic curve were derived for frozen soil under arbitrary salt mass fraction and temperature conditions. The freezing test was carried out, and the freezing characteristic curves of silty clay and silt under different water mass fraction and salt mass fraction were obtained by nuclear magnetic resonance. The results show that the mass fraction of unfrozen water decreases exponentially with the reduction of temperature. The unfrozen water mass fraction increases linearly with the increasement of initial solution concentration at the same temperature. The freezing characteristic curves of salt-free soil with different initial water mass fraction are consistent. The silt reaches the residual state more easily than the silty clay. It is verified that the model can predict the freezing characteristic curve of saline soil reasonably by comparing the theoretical model with the test data.
Xiang-chuan MENG,Jia-zuo ZHOU,Chang-fu WEI,Pan CHEN,Kun ZHANG,Zheng-yan SHEN. Freezing characteristic curve model of saline soil based on generalized Clapeyron equation. Journal of ZheJiang University (Engineering Science), 2020, 54(12): 2377-2385.
Fig.3Calculation principle of unfrozen water mass fraction
Fig.4Variation curve of unfrozen water mass fraction with temperature in soils with different salt mass fraction
Fig.5Comparison of residual water mass fraction in model
Fig.6Variation curve of unfrozen water mass fraction with temperature in clay with different moisture mass fraction
土样
w0 /%
a
N
wr /%
θs /°C
饱和粉土
26.0
0.016
1.1790
2.0
?0.10
非饱和粉土
15.0
0.022
0.7011
1.9
?0.08
非饱和粉质黏土
15.0
0.092
0.4000
1.0
?0.35
Tab.2Values of sample fitting model parameters
Fig.7Curve of unfrozen water mass fraction of silt at different temperatures with initial salt mass fraction
Fig.8Curve of unfrozen water mass fraction of silt at different temperatures with salt mass fraction
Fig.9Variation curve of unfrozen water mass fraction with temperature in Morin clay with different salt mass fraction
Fig.10Variation curve of unfrozen water mass fraction of unsalted soil with temperature
[1]
马巍, 王大雁 中国冻土力学研究50 a回顾与展望[J]. 岩土工程学报, 2012, 34 (4): 625- 640 MA Wei, WANG Da-yan Studies on frozen soil mechanics in China in past 50 years and their prospect[J]. Chinese Journal of Geotechnical Engineering, 2012, 34 (4): 625- 640
[2]
DILLON H B, ANDERSLAND O B Predicting unfrozen water contents in frozen soils[J]. Canadian Geotechnical Journal, 1966, 3 (2): 53- 60
doi: 10.1139/t66-007
[3]
PATTERSON D E, SMITH M W The measurement of unfrozen water content by time domain reflectometry: results from laboratory tests[J]. Canadian Geotechnical Journal, 1981, 18 (1): 131- 144
doi: 10.1139/t81-012
[4]
TSYTOVICH N A. The mechanics of frozen ground [M]. New York: McGraw-Hill, 1975: 43-45.
[5]
徐敩祖, J L. 奥利奋特, A R. 泰斯 土水势、未冻水含量和温度[J]. 冰川冻土, 1985, 7 (1): 1- 11 XU Xiao-zu, OLIPHANT J L, TICE A R Soil-water potential and unfrozen water content and temperature[J]. Journal of Glaciology and Geocryology, 1985, 7 (1): 1- 11
[6]
MICHALOWSHI R L A constitutive model of saturated soils for frost heave simulations[J]. Cold Regions Science and Technology, 1993, 22 (1): 47- 63
doi: 10.1016/0165-232X(93)90045-A
[7]
KOZLOWSKI T A semi-empirical model for phase composition of water in clay-water systems[J]. Cold Regions Science and Technology, 2007, 49 (3): 226- 236
doi: 10.1016/j.coldregions.2007.03.013
[8]
BLACK P B, TICE A R Comparison of soil freezing curve and soil water curve data for Windsor sandy loam[J]. Water Resources Research, 1989, 25 (10): 2205- 2210
doi: 10.1029/WR025i010p02205
[9]
TIAN H H, WEI C F, WEI H Z, et al Freezing and thawing characteristics of frozen soils: bound water content and hysteresis phenomenon[J]. Cold Regions Science and Technology, 2014, 103 (1): 74- 81
[10]
YOSHIKAWA K, OVERDUIN P P Comparing unfrozen water content measurements of frozen soil using recently developed commercial sensors[J]. Cold Regions Science and Technology, 2005, 42 (3): 250- 256
doi: 10.1016/j.coldregions.2005.03.001
[11]
SWENSON J, BERGMAN R, LONGEVILLE S Experimental support for a dynamic transition of confined water[J]. Journal of Non-Crystalline Solids, 2002, 307-310: 573- 578
doi: 10.1016/S0022-3093(02)01488-6
[12]
KOZLOWSKI T A comprehensive method of determining the soil unfrozen water curves: 1. application of the term of convolution[J]. Cold Regions Science and Technology, 2003, 36: 71- 79
doi: 10.1016/S0165-232X(03)00007-7
[13]
KOZLOWSKI T A comprehensive method of determining the soil unfrozen water curves: 2. stages of the phase change process in frozen soil-water system[J]. Cold Regions Science and Technology, 2003, 36: 81- 92
doi: 10.1016/S0165-232X(03)00006-5
[14]
FABBRI A, FEN-CHONG T, COUSSY O Dielectric capacity, liquid water content, and pore structure of thawing-freezing materials[J]. Cold Regions Science and Technology, 2006, 44: 52- 66
doi: 10.1016/j.coldregions.2005.07.001
[15]
LOCH J P G Thermodynamic equilibrium between ice and water in porous media[J]. Soil Science, 1978, 126 (2): 77- 80
doi: 10.1097/00010694-197808000-00002
[16]
WEI C F A theoretical framework for modeling the chemomechanical behavior of unsaturated soils[J]. Vadose Zone Journal, 2014, 13 (9): 1- 21
[17]
ZHOU J Z, WEI C F, LAI Y M, et al Application of the generalized clapeyron equation to freezing point depression and unfrozen water content[J]. Water Resources Research, 2018, 54 (11): 9412- 9431
doi: 10.1029/2018WR023221
[18]
SPEIGHT J G. Lange’s handbook of chemistry [M]. 16th ed. New York: McGraw-Hill Professional Publishing, 2005.
[19]
BROOKS R H, COREY A T. Hydraulic properties of porous media [M]. Fort Collins: Colorado State University, 1964.
[20]
马田田, 韦昌富, 周家作, 等 土体冻结特征曲线和持水特性[J]. 岩土工程学报, 2015, 37 (Suppl. 1): 172- 177 MA Tian-tian, WEI Chang-fu, ZHOU Jia-zuo, et al Freezing characteristic curves and water retention characteristics of soils[J]. Chinese Journal of Geotechnical Engineering, 2015, 37 (Suppl. 1): 172- 177
[21]
周家作, 谭龙, 韦昌富, 等 土的冻结温度与过冷温度试验研究[J]. 岩土力学, 2015, 36 (3): 777- 785 ZHOU Jia-zuo, TAN Long, WEI Chang-fu, et al Experimental study on freezing temperature and subcooling temperature of soil[J]. Rock and soil mechanics, 2015, 36 (3): 777- 785