Effect of initial void ratio on the soil water characteristics of unsaturated soil at high suctions
-
摘要:
在我国西北干旱半干旱地区,处于高吸力范围内的非饱和土广泛存在于各种岩土工程中。非饱和土土水特性的研究是非饱和土渗流、强度与变形研究的基础。为研究高吸力下不同初始孔隙比非饱和土的土水特性,以一种粉土试样作为研究对象,采用饱和盐溶液蒸汽平衡法控制土试样的吸力,利用阿基米德原理量测不规则土试样的体积,通过修正的Van-Genuchten模型模拟试样高吸力下不同初始孔隙比的土水特征曲线。结果表明:(1)将土水特征曲线表示为含水率与吸力的关系时,初始孔隙比对土水曲线几乎没有影响,表明高吸力下非饱和土的土水特性主要与吸附水的含量相关;(2)以Van-Genuchten模型为基础,发现考虑初始孔隙比影响的土水特征曲线方程无法准确拟合高吸力下的土水曲线;故在此基础上方程引入修正项,得到一个能够较好地模拟高吸力下非饱和土土水特征曲线的方程;(3)将该方程应用于非饱和土相对渗透系数的模拟,可得到考虑初始孔隙比影响的非饱和土相对渗透系数方程。结合相关实测数据加以验证,其预测结果与试验数据吻合较好,说明提出的土水特征曲线方程具有一定的可靠性。
Abstract:In arid and semi-arid regions, such as in northwestern China, unsaturated soils at high suction or over a wide suction range are widespread in various geotechnical designs. Studies of the soil water retention behavior are fundamental to a comprehensive understanding of the water flow, deformation processes, and shears strength for unsaturated soils. To investigate the soil water retention behavior of a silt over a high suction range, the suction is imposed on silt specimens using the vapor equilibrium technique, and the volume of irregular soil sample is measured using the Archimedean method. The soil water characteristic curves (SWCCs) with different initial void ratios at high suctions were simulated by the modified Van Genuchten’s model. The results show that (1) SWCCs in terms of water content versus suction relation with different initial void ratios are independent of the initial void ratio at high suctions. That is, soil water retention at high suctions is mainly related to adsorbed water content. (2) It was found that the fitting results of the existing equation based on Van Genuchten’s model can not accurately simulate the soil water retention behavior over a high suction range. A modified soil water characteristic equation is proposed by introducing a correcting function into the equation. (3) A modified relative permeability coefficient equation is proposed and it can be applied to predict the relative permeability coefficient with different initial void ratios. The predicted results are in good agreement with the measured values.
-
Key words:
- unsaturated soil /
- high suctions /
- initial void ratio /
- SWCC
-
表 1 试验粉土基本物理指标
Table 1. Physical indices of silt
指标 比重 液限
/%塑限
/%最优含水率/% 最大干密度/(g·cm−3) 取值 2.70 28.73 18.96 15.2 1.81 表 2 饱和盐溶液及对应吸力值(20 °C)
Table 2. Saturated salt solution and corresponding suction
饱和盐溶液 总吸力/MPa LiCl·H2O 286.70 MgCl2·6H2O 149.51 NaBr 71.12 NaCl 38.00 KCl 21.82 KNO3 7.48 K2SO4 3.29 表 3 典型的土水特征曲线方程
Table 3. Typical soil water characteristic curve equations
-
[1] FREDLUND D G, RAHARDJO H. Soil mechanics for unsaturated soils[M]. Hoboken, NJ, USA: John Wiley & Sons, Inc, 1993.
[2] LU N, KHORSHIDI M. Mechanisms for soil-water retention and hysteresis at high suction range[J]. Journal of Geotechnical and Geoenvironmental Engineering,2015,141(8):04015032. doi: 10.1061/(ASCE)GT.1943-5606.0001325
[3] 朱利君, 裴向军, 张晓超, 等. 双聚材料改良黄土持水性及生态效应研究[J]. 水文地质工程地质,2020,47(4):158 − 166. [ZHU Lijun, PEI Xiangjun, ZHANG Xiaochao, et al. A study of water retention and ecological effects of loess improved by double polymers[J]. Hydrogeology & Engineering Geology,2020,47(4):158 − 166. (in Chinese with English abstract)
ZHU L J, PEI X J, ZHANG X C, et al. A study of water retention and ecological effects of loess improved by double polymers[J]. Hydrogeology & Engineering Geology, 2020, 47(4): 158-166. (in Chinese with English abstract)
[4] VANAPALLI S K, FREDLUND D G, PUFAHL D E. The influence of soil structure and stress history on the soil-water characteristics of a compacted till[J]. Géotechnique,1999,51(6):573 − 576.
[5] 李同录, 张辉, 李萍, 等. 不同沉积环境下马兰黄土孔隙分布与土水特征的模式分析[J]. 水文地质工程地质,2020,47(3):107 − 114. [LI Tonglu, ZHANG Hui, LI Ping, et al. Mode analysis of pore distribution and soil-water characteristic curve of Malan loess under different depositional environments[J]. Hydrogeology & Engineering Geology,2020,47(3):107 − 114. (in Chinese with English abstract)
LI T L, ZHANG H, LI P, et al. Mode analysis of pore distribution and soil-water characteristic curve of Malan loess under different depositional environments[J]. Hydrogeology & Engineering Geology, 2020, 47(3): 107-114. (in Chinese with English abstract)
[6] 刘小文, 叶云雪. 不同影响因素下非饱和红土土-水特征曲线的试验研究[J]. 水文地质工程地质,2015,42(2):97 − 104. [LIU Xiaowen, YE Yunxue. Experimental study of the soil-water characteristic curve of unsaturated laterite under different affecting factors[J]. Hydrogeology & Engineering Geology,2015,42(2):97 − 104. (in Chinese with English abstract)
LIU X W, YE Y X. Experimental study of the soil-water characteristic curve of unsaturated laterite under different affecting factors[J]. Hydrogeology & Engineering Geology, 2015, 42(2): 97-104. (in Chinese with English abstract)
[7] LI Z S, FLEUREAU J M, TANG L S. Aspects of compaction and drying-wetting curves of a subgrade clayey soil[J]. Géotechnique,2017,67(12):1120 − 1126.
[8] 伊盼盼, 牛圣宽, 韦昌富. 干密度和初始含水率对非饱和重塑粉土土水特征曲线的影响[J]. 水文地质工程地质,2012,39(1):42 − 46. [YI Panpan, NIU Shengkuan, WEI Changfu. Effects of dry density and initial moisture content on soil water characteristic curve of remolded unsaturated silt[J]. Hydrogeology & Engineering Geology,2012,39(1):42 − 46. (in Chinese with English abstract)
YI P P, NIU S K, WEI C F. Effects of dry density and initial moisture content on soil water characteristic curve of remolded unsaturated silt[J]. Hydrogeology & Engineering Geology, 2012, 39(1): 42-46. (in Chinese with English abstract)
[9] 蔡国庆, 张策, 李舰, 等. 考虑初始干密度影响的SWCC预测方法研究[J]. 岩土工程学报,2018,40(增刊 2):27 − 31. [CAI Guoqing, ZHANG Ce, LI Jian, et al. Prediction method for SWCC considering initial dry density[J]. Chinese Journal of Geotechnical Engineering,2018,40(Sup 2):27 − 31. (in Chinese with English abstract)
CAI G Q, ZHANG C, LI J, et al. Prediction method for SWCC considering initial dry density[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(S2): 27-31. (in Chinese with English abstract)
[10] 张佳伟, 孙德安. 全吸力范围内不同干密度膨胀土的强度特性[J]. 工业建筑,2017,47(8):84 − 88. [ZHANG Jiawei, SUN Dean. Strength characteristics of expansive soil with different dry densities in full suction range[J]. Industrial Construction,2017,47(8):84 − 88. (in Chinese with English abstract)
ZHANG J W, SUN D A. Strength characteristics of expansive soil with different dry densities in full suction range[J]. Industrial Construction, 2017, 47(8): 84-88. (in Chinese with English abstract)
[11] 于沉香, 张虎元, 王志硕, 等. 盐渍土土水特征曲线测试及预测[J]. 水文地质工程地质,2013,40(2):113 − 118. [YU Chenxiang, ZHANG Huyuan, WANG Zhishuo, et al. Test and prediction of SWCC of saline soil[J]. Hydrogeology & Engineering Geology,2013,40(2):113 − 118. (in Chinese with English abstract)
YU C X, ZHANG H Y, WANG Z S, et al. Test and prediction of SWCC of saline soil[J]. Hydrogeology & Engineering Geology, 2013, 40(2): 113-118. (in Chinese with English abstract)
[12] SUN D A, SHENG D C, XU Y F. Collapse behaviour of unsaturated compacted soil with different initial densities[J]. Canadian Geotechnical Journal,2007,44(6):673 − 686. doi: 10.1139/t07-023
[13] 邹维列, 王协群, 罗方德, 等. 等应力和等孔隙比状态下的土–水特征曲线[J]. 岩土工程学报,2017,39(9):1711 − 1717. [ZOU Wweilie, WANG Xiequn, LUO Fangde, et al. Experimental study on SWCCs under equal stress and equal void ratio states[J]. Chinese Journal of Geotechnical Engineering,2017,39(9):1711 − 1717. (in Chinese with English abstract) doi: 10.11779/CJGE201709020
ZOU W L, WANG X Q, LUO F D, et al. Experimental study on SWCCs under equal stress and equal void ratio states[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(9): 1711-1717. (in Chinese with English abstract) doi: 10.11779/CJGE201709020
[14] GAO Y, SUN D A. Soil-water retention behavior of compacted soil with different densities over a wide suction range and its prediction[J]. Computers and Geotechnics,2017,91:17 − 26. doi: 10.1016/j.compgeo.2017.06.016
[15] 唐朝生, 崔玉军, TANG A M, 等. 土体干燥过程中的体积收缩变形特征[J]. 岩土工程学报,2011,33(8):1271 − 1279. [TANG Chaosheng, CUI Yujun, TANG A M, et al. Volumetric shrinkage characteristics of soil during drying[J]. Chinese Journal of Geotechnical Engineering,2011,33(8):1271 − 1279. (in Chinese with English abstract)
TANG C S, CUI Y J, TANG A M, et al. Volumetric shrinkage characteristics of soil during drying[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(8): 1271-1279. (in Chinese with English abstract)
[16] GREENSPAN L. Humidity fixed points of binary saturated aqueous solutions[J]. Journal of Research of the National Bureau of Standards,1977,81A(1):89 − 96. doi: 10.6028/jres.081A.011
[17] 朱赞成, 孙德安, 王小岗, 等. 基于膨润土微观结构确定土水特征曲线的残余含水率[J]. 岩土工程学报,2015,37(7):1211 − 1217. [ZHU Zancheng, SUN Dean, WANG Xiaogang, et al. Determination of residual water content in SWCC based on microscopic structure of bentonite[J]. Chinese Journal of Geotechnical Engineering,2015,37(7):1211 − 1217. (in Chinese with English abstract) doi: 10.11779/CJGE201507006
ZHU Z C, SUN D A, WANG X G, et al. Determination of residual water content in SWCC based on microscopic structure of bentonite[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(7): 1211-1217. (in Chinese with English abstract) doi: 10.11779/CJGE201507006
[18] BROOKS R H. Hydraulic properties of porous media[D]. Colorado: Colorado State University, 1964.
[19] 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
[20] FREDLUND D G, XING A. Equations for the soil-water characteristic curve[J]. Canadian Geotechnical Journal,1994,31(4):521 − 532. doi: 10.1139/t94-061
[21] GARDNER W R. Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table[J]. Soil Science,1958,85(4):228 − 232. doi: 10.1097/00010694-195804000-00006
[22] ROMERO E, VANUNAT J. Retention curves of deformable clays[C]. Experimental evidence and theoretical approaches in unsaturated soils: Proceedings of the international workshop on unsaturated soils, 2000: 91 − 106.
[23] GALLIPOLI D, WHEELER S J, KARSTUNEN M. Modelling the variation of degree of saturation in a deformable unsaturated soil[J]. Géotechnique,2003,53(1):105 − 112.
[24] LEE I M, SUNG S G, CHO G C. Effect of stress state on the unsaturated shear strength of a weathered granite[J]. Canadian Geotechnical Journal,2005,42(2):624 − 631. doi: 10.1139/t04-091
[25] FREDLUND D G, XING A, HUANG S. 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
[26] BURDINE N T. Relative permeability calculations from pore size distribution data[J]. Journal of Petroleum Technology,1953,5(3):71 − 78. doi: 10.2118/225-G
[27] LALIBERTE G E, COREY A T, BROOKS R H. Properties of unsaturated porous media[R]. Colorado: Colorado State University, 1966.