| Citation: | ZHAI Qian, SHEN Tianlun, TIAN Gang, DAI Guoliang, ZHAO Xueliang, GONG Weiming, CAI Jianguo. Prediction of the coefficient of permeability for unsaturated soil by considering the film flow[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(2): 291-298. DOI: 10.11779/CJGE20221322 |
It has become a common practice that the hydraulic conductivity of unsaturated soils is estimated from the soil-water characteristic curve by using either empirical method or statistical method. The estimated results by the empirical method are dependent on the empirical parameters while those by the statistical method are determined based on the theory of statistics. As a result, the results by the statistical method are more reliable than those by the empirical method. It is observed that the hydroscopic water is misused as the capillary water in the conventional statistical method. Because of the adsorptive force, the water film (hydroscopic water) is attached around the soil particle, and it acts as the transferring medium for the water migration in soils. The flowing rate of the water in the adsorbed water film is a function of the thickness of the water film. Both the thickness of water film around a single soil particle and the flowing rate through the water film are firstly computed. Subsequently, the probability of the connecting between particles with different sizes is calculated by using the grain size distribution (GSD) data. Consequently, a new equation is proposed for the estimation of the hydraulic conductivity of unsaturated soils by considering the film flows in soils. The proposed method is verified using the experimental data from literatures. It is indicated that results by the newly proposed method provide better agreement with the experimental data as compared with those by the conventional statistical method.
| [1] |
WEBER T K D, DURNER W, STRECK T, et al. A modular framework for modeling unsaturated soil hydraulic properties over the full moisture range[J]. Water Resources Research, 2019, 55(6): 4994-5011. doi: 10.1029/2018WR024584
|
| [2] |
翟钱, 朱益瑶, 叶为民, 等. 全吸力范围非饱和土水力渗透系数的计算[J]. 岩土工程学报, 2022, 44(4): 660-668. doi: 10.11779/CJGE202204008
ZHAI Qian, ZHU Yiyao, YE Weimin, et al. Estimation of hydraulic conductivity of unsaturated soils under entire suction range[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(4): 660-668. (in Chinese) doi: 10.11779/CJGE202204008
|
| [3] |
GARDNER W R. Mathematics of isothermal water conduction in unsaturated soil[J]. Highway Research Board Special Report 1958, 40: 78-87
|
| [4] |
VAN GENUCHTEN M T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils[J]. Soil Science Society of America Journal, 1980, 44(5): 892-898. doi: 10.2136/sssaj1980.03615995004400050002x
|
| [5] |
FREDLUND D G, XING A Q, HUANG S Y. Predicting the permeability function for unsaturated soils using the soil-water characteristic curve[J]. Canadian Geotechnical Journal, 1994, 31(4): 533-546. doi: 10.1139/t94-062
|
| [6] |
ZHAI Q, RAHARDJO H. Estimation of permeability function from the soil-water characteristic curve[J]. Engineering Geology, 2015, 199: 148-156. doi: 10.1016/j.enggeo.2015.11.001
|
| [7] |
叶为民, 钱丽鑫, 白云, 等. 由土-水特征曲线预测上海非饱和软土渗透系数[J]. 岩土工程学报, 2005, 27(11): 1262-1265. doi: 10.3321/j.issn:1000-4548.2005.11.005
YE Weimin, QIAN Lixin, BAI Yun, et al. Predicting coefficient of permeability from soil-water characteristic curve for Shanghai soft soil[J]. Chinese Journal of Geotechnical Engineering, 2005, 27(11): 1262-1265. (in Chinese) doi: 10.3321/j.issn:1000-4548.2005.11.005
|
| [8] |
蔡国庆, 盛岱超, 周安楠. 考虑初始孔隙比影响的非饱和土相对渗透系数方程[J]. 岩土工程学报, 2014, 36(5): 827-835. doi: 10.11779/CJGE201405004
CAI Guoqing, SHENG Daichao, ZHOU Annan. Approach for predicting the relative coefficient of permeability of unsaturated soils with different initial void ratios[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(5): 827-835. (in Chinese) doi: 10.11779/CJGE201405004
|
| [9] |
TOKUNAGA T K, WAN J M. Water film flow along fracture surfaces of porous rock[J]. Water Resources Research, 1997, 33(6): 1287-1295. doi: 10.1029/97WR00473
|
| [10] |
TOKUNAGA T K, WAN J M, SUTTON S R. Transient film flow on rough fracture surfaces[J]. Water Resources Research, 2000, 36(7): 1737-1746. doi: 10.1029/2000WR900079
|
| [11] |
LIU H H. A constitutive-relationship model for film flow on rough fracture surfaces[J]. Hydrogeology Journal, 2004, 12(2): 237-240.
|
| [12] |
TOKUNAGA T K. Hydraulic properties of adsorbed water films in unsaturated porous media[J]. Water Resources Research, 2009, 45(6): W06415.
|
| [13] |
LEBEAU M, KONRAD J M. A new capillary and thin film flow model for predicting the hydraulic conductivity of unsaturated porous media[J]. Water Resources Research, 2010, 46(1): 1-15.
|
| [14] |
TULLER M, OR D. Hydraulic conductivity of variably saturated porous media: film and corner flow in angular pore space[J]. Water Resources Research, 2001, 37(5): 1257-1276. doi: 10.1029/2000WR900328
|
| [15] |
IWAMATSU M, HORII K. Capillary condensation and adhesion of two wetter surfaces[J]. Journal of Colloid and Interface Science, 1996, 182(2): 400-406. doi: 10.1006/jcis.1996.0480
|
| [16] |
BIRD R B, STEWART W E, LIGHTFOOT E N. Transport phenomena[M]. New York: John Wiley & Sons, Inc, 1960.
|
| [17] |
PACHEPSKY Y A, SHCHERBAKOV R, VARALLYAY G, et al. On obtaining soil hydraulic conductivity curves from water retention curves [J]. Pochvovedenie, 1984, 10: 60-72.
|
| [18] |
MUALEM Y. Hydraulic conductivity of unsaturated soils: prediction and formulas[M]//SSSA Book Series. Madison, WI, USA: Soil Science Society of America, American Society of Agronomy, 2018: 799-823.
|
| [19] |
NEMES A, SCHAAP M G, LEIJ F J, et al. Description of the unsaturated soil hydraulic database UNSODA version 2.0[J]. Journal of Hydrology, 2001, 251(3/4): 151-162.
|
| [20] |
SCHINDLER U G, MÜLLER L. Soil hydraulic functions of international soils measured with the Extended Evaporation Method (EEM) and the HYPROP device[J]. Open Data Journal for Agricultural Research, 2017, 3: 1-7.
|
| [21] |
FREDLUND D G, XING A Q. Equations for the soil-water characteristic curve[J]. Canadian Geotechnical Journal, 1994, 31(4): 521-532. doi: 10.1139/t94-061
|
| [22] |
ZHAI Q, RAHARDJO H, SATYANAGA A. Effect of bimodal soil-water characteristic curve on the estimation of permeability function[J]. Engineering Geology, 2017, 230: 142-151. doi: 10.1016/j.enggeo.2017.09.025
|
| [23] |
ZHAI Q, RAHARDJO H. Determination of soil-water characteristic curve variables[J]. Computers and Geotechnics, 2012, 42: 37-43. doi: 10.1016/j.compgeo.2011.11.010
|
| [24] |
ZHANG F X, FREDLUND D G. Examination of the estimation of relative permeability for unsaturated soils[J]. Canadian Geotechnical Journal, 2015, 52(12): 2077-2087. doi: 10.1139/cgj-2015-0043
|
| [25] |
ZHAI Q, RAHARDJO H, SATYANAGA A, et al. Framework to estimate the soil-water characteristic curve for soils with different void ratios[J]. Bulletin of Engineering Geology and the Environment, 2020, 79(8): 4399-4409. doi: 10.1007/s10064-020-01825-8
|
| [26] |
ZHAI Q, RAHARDJO H, SATYANAGA A. Effects of residual suction and residual water content on the estimation of permeability function[J]. Geoderma, 2017, 303: 165-177. doi: 10.1016/j.geoderma.2017.05.019
|
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