Approach for predicting the relative coefficient of permeability of unsaturated soils with different initial void ratios
CAI Guo-qing1, 2, SHENG Dai-chao2, ZHOU An-nan3
1. School of Civil Engineering and Architecture, Beijing Jiaotong University, Beijing 100044, China; 2. ARC Centre of Excellence for Geotechnical Science and Engineering, The University of Newcastle, Newcastle 2308, Australia; 3. School of Civil, Environmental and Chemical Engineering, Royal Melbourne Institute of Technology (RMIT), Melbourne 3001, Australia
A simple approach is proposed to quantify the effect of the initial void ratio on the relative coefficient of permeability for unsaturated soils based on the incremental relationship between the degree of saturation and the initial void ratio and the prediction of the permeability function for unsaturated soils by use of the soil-water characteristic curve (SWCC). For a given soil and the SWCC equation, only one additional parameter is introduced, which can be conveniently calibrated by the conventional SWCC tests. The relative coefficient of permeability for the same soil with different initial void ratios can be predicted by this approach. The proposed approach is validated through experimental data from the literatures in which both the SWCCs and the coefficients of permeability with different initial void ratios are measured.
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.
CAI Guo-qing, SHENG Dai-chao, ZHOU An-nan. Approach for predicting the relative coefficient of permeability of unsaturated soils with different initial void ratios. Chinese J. Geot. Eng., 2014, 36(5): 827-835.
[1] SHENG D C. Review of fundamental principles in modelling unsaturated soil behaviour[J]. Computers and Geotechnics, 2011, 38(6): 757-776.
[2] 陈正汉, 孙树国, 方祥卫, 等. 非饱和土与特殊土测试技术新进展[J]. 岩土工程学报, 2006, 28(2): 147-169. (CHEN Zheng-han, SUN Shu-guo, FANG Xiang-wei, et al. Recent advances of the measuring technology for unsaturated soils and special soils[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(2): 147-169. (in Chinese))
[3] 赵成刚, 李 舰, 刘 艳, 等. 非饱和土力学中几个基本问题的探讨[J]. 岩土力学, 2013, 34(7): 1825-1831. (ZHAO Cheng-gang, LI Jian, LIU Yan, et al. Discussion on some fundamental problems in unsaturated soil mechanics[J]. Rock and Soil Mechanics, 2013, 34(7): 1825-1831. (in Chinese))
[4] 孙德安. 非饱和土的水力和力学特性及其弹塑性描述[J]. 岩土力学, 2009, 30(11): 3217-3231. (SUN De-an. Hydro-mechanical behaviours of unsaturated soils and their elastoplastic modeling[J]. Rock and Soil Mechanics, 2009, 30(11): 3217-3231. (in Chinese))
[5] KOZENY J. Üeber kapillare leitung des wassers im boden[J]. Akademie der Wissenschaften Wien. 1927, 136(2A): 271-306. (KOZENY J. Capillary line of water in soils. [J]. Academy of Sciences, Vienna, 1927, 136(2A): 271-306. (in Germany))
[6] TAYLOR D W. Fundamentals of soil mechanics[M]. New York: John Wiley & Sons, Inc, 1948.
[7] LAMBE T W, WHITMAN S E. Soil mechanics[M]. New York: John Wiley & Sons, Inc, 1969.
[8] BUCKINGHAM E. Studies on the movement of soil moisture[R]. United States: Department of Agriculture, Soil Bulletin 38, 1907.
[9] CHILDS E C. The use of soil moisture characteristics in soil studies[J]. Journal of Soil Science, 1940, 50(4): 60-64.
[10] STAPLE W J, LEHANE J J. Movement of moisture in unsaturated soils[J]. Canadian Agricultural Science Journal, 1954, 34: 329-342.
[11] BARDEN L, PAVLAKIS G. Air and water permeability of compacted unsaturated cohesive soil[J]. Journal of Soil Science, 1971, 22(3): 302-317.
[12] REICOSKY D C, VOORHEES W B, RADKE J K. Unsaturated water flow through a simulated wheel track[J]. Soil Science Society of America Journal, 1981, 45(1): 3-8.
[13] NIMMO J R, AKSTIN K C. Hydraulic conductivity of a sandy soil at low water content after compaction by various methods[J]. Soil Science Society of America Journal, 1988, 52(2): 303-310.
[14] MITCHELL J K, HOOPER D R, CAMPANELLA R G. Permeability of compacted clay[J]. Soil Mechanics and Foundations Division, ASCE, 1965, 91(SM4): 41-65.
[15] LALIBERTE G E, COREY A T, BROOKS R H. Properties of unsaturated porous media[R]. Fort Collins: Colorado State University, 1966.
[16] LLORET A, ALONSO E E. Consolidation of unsaturated soils including swelling and collapse behavior[J]. Géotechnique, 1980, 30(4): 449-477.
[17] CHANG C S, DUNCAN J M. Consolidation analysis for partly saturated clay by using an elastic-plastic effective stress-strain model[J]. International Journal for Numerical and Analytical Methods Geomechanics, 1983, 7(1): 39-55.
[18] HUANG S Y, BARBOUR S L, FREDLUND D G. Development and verification of a coefficient of permeability function for a deformable unsaturated soil[J]. Canadian Geotechnical Journal, 1998, 35(3): 411-425.
[19] 张雪东, 赵成刚, 蔡国庆, 等. 土体密实状态对土-水特征曲线影响规律研究[J]. 岩土力学, 2010, 31(5): 1469-1474. (ZHANG Xue-dong, ZHAO Cheng-gang, CAI Guo-qing, et al. Research on influence of soil density on soil-water characteristic curve[J]. Rock and Soil Mechanics, 2010, 31(5): 1469-1474. (in Chinese))
[20] 张雪东, 赵成刚, 刘 艳. 变形对非饱和土渗透系数影响规律模拟研究[J]. 工程地质学报, 2010, 18(1): 132-139. (ZHANG Xue-dong, ZHAO Cheng-gang, LIU Yan. Probability based model for influence of deformation on hydraulic conductivity function of unsaturated soils[J]. Journal of Engineering Geology, 2010, 18(1): 132-139. (in Chinese))
[21] 胡 冉, 陈益峰, 周创兵. 基于孔隙分布的变形土土水特征曲线模型[J]. 岩土工程学报, 2013, 35(8): 1451-1462. (HU Ran, CHEN Yi-feng, ZHOU Chuang-bing. A water retention curve model for deformable soils based on pore size Distribution[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(8): 1451-1462. (in Chinese))
[22] 胡 冉, 陈益峰, 周创兵. 考虑变形效应的非饱和土相对渗透系数模型[J]. 岩石力学与工程学报, 2013, 32(6): 1279-1287. (HU Ran, CHEN Yi-feng, ZHOU Chuang-bing. A relative hydraulic conductivity model forunsaturated deformable soils[J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(6): 1279-1287. (in Chinese))
[23] CHILDS E C, COLLIS-GEORGE G N. The permeability of porous materials[J]. Proceedings of the Royal Society A, 1950, 201(1066): 392-405.
[24] BROOKS R H, COREY A T. Hydraulic properties of porous media[R]. Fort Collins: Colorado State University, 1964.
[25] MUALEM Y. A new model for predicting the hydraulic conductivity of unsaturated porous media[J]. Water Resources Research, 1976, 12(3): 513-522.
[26] AGUS S S, LEONG E C, SCHANZ T. Assessment of statistical models for indirect determination of permeability functions from soil-water characteristic curves[J]. Géotechnique, 2003, 53(2): 279-282.
[27] SHENG D C, ZHOU A N. Coupling hydraulic with mechanical models for unsaturated soils[J]. Canadian Geotechnical Journal, 2011, 48(5): 826-840.
[28] ZHOU A N, SHENG D C, CARTER J P. Modelling the effect of initial density on soil-water characteristic curves[J]. Géotechnique, 2012, 62(8): 669-680.
[29] LEONG E C, RAHARDJO H. Permeability functions for unsaturated soils[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1997, 123(12): 1118-1126.
[30] BURDINE N T. Relative permeability calculation from poresize distribution data[J]. Journal of Petroleum Technology, 1953, 5(3): 71-78.
[31] 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.
[32] LALIBERTE G E, COREY A T, BROOKS R H. Properties of unsaturated porous media[R]. Colorado: Colorado State University, 1966.