|
|
|
| A RELATIVE HYDRAULIC CONDUCTIVITY MODEL FOR UNSATURATED DEFORMABLE SOILS |
| HU Ran1,2,CHEN Yifeng1,2,ZHOU Chuangbing1,2 |
(1. State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,Wuhan,Hubei 430072,
China;2. Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering,Ministry of Education,Wuhan University,
Wuhan,Hubei 430072,China) |
|
|
|
|
Abstract The relative hydraulic conductivity is indispensable for the seepage flow analysis in unsaturated soils. The Mualem statistical model is widely used to determine this parameter. With the assumption of rigid pore structures,however,the Mualem model is not suitable for describing the relative hydraulic conductivity in deformable soils. On the basis of a newly developed soil-water characteristic curve model for deformable soils developed by the authors,a modified Mualem model was presented,in which the mean radius of pores completely filled by water in a given degree of saturation was adopted to account for the effects of water content and soil deformation on the unsaturated hydraulic conductivity. Experimental data of four types of soils were used to evaluate the modified model. Comparing to the original model,it is indicated that the root mean square error between the experimental measurements and model predictions was reduced by 27%. This more reliable theoretical model can be used for better understanding the seepage flow and coupled hydro-mechanical processes in unsaturated soils.
|
|
Received: 11 January 2013
|
|
|
|
| [1] CHEN Y F,ZHOU C B,JING L R. Modeling coupled THM processes of geological porous media with multiphase flow:theory and validation against laboratory and field scale experiments[J]. Computers and Geotechnics,2009,36(8):1 308–1 329.
[2] 陈益峰,周创兵,童富果,等. 多相流传输THM全耦合数值模型及程序验证[J]. 岩石力学与工程学报,2009,28(4):649–665. (CHEN Yifeng,ZHOU Chuangbing,TONG Fuguo,et al. A numerical model for fully coupled THM processes with multiphase flow and code validation[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(4):649–665.(in Chinese))
[3] CHEN Y F,HU R,LU W,et al. Modeling coupled processes of non- steady seepage flow and non-linear deformation for a concrete-faced rockfill dam[J]. Computers and Structures,2011,89(13/14):1 333–1 351.
[4] HU R,CHEN Y F,ZHOU C B. Modeling of coupled deformation,water flow and gas transport in soil slopes subjected to rain infiltration[J]. Science China:Technological Sciences,2011,54(10):2 561–2 575.
[5] CHAPUIS R P. Predicting the saturated hydraulic conductivity of soils:a review[J]. Bulletin of Engineering Geology and the Environment,2012,71(3):401–434.
[6] GARDNER W. 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.
[7] PHILIP J. Linearized unsteady multidimensional infiltration[J]. Water Resources Research,1986,22(12):1 717–1 727.
[8] IRMAY S. On the hydraulic conductivity of unsaturated soils[J]. Transactions of AGU,1954,35(3):463–467.
[9] BROOKS R H,COREY A T. Hydraulic properties of porous media[R]. Colorado:Colorado State University,1964.
[10] CHILDS EC,COLLIS-GEORGE N,CHILDS E,et al. The permeability of porous materials[J]. Proceedings of the Royal Society of London Series A:Mathematical and Physical Sciences,1950,201(1 066):392–405.
[11] MUALEM Y. A new model for predicting the hydraulic conductivity of unsaturated porous media[J]. Water Resources Research,1976,12(3):3 513–522.
[12] 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(待刊).(HU Ran,CHEN Yifeng,ZHOU Chuangbing. A water retention curve model for deformable soils based on the pore size distribution[J]. Chinese Journal of Geotechnical Engineering,2013(to be pressed).(in Chinese))
[13] 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.
[14] FREDLUND D,XING A. Equations for the soil-water characteristic curve[J]. Canadian Geotechnical Journal,1994,31(4):521–532.
[15] RAVEENDIRARAJ A. Coupling of mechanical behaviour and water retention behaviour in unsaturated soils[Ph. D. Thesis][D]. Glasgow,Scotland:University of Glasgow,2009.
[16] HUANG S,BARBOUR S,FREDLUND D. Development and verification of a coefficient of permeability function for a deformable unsaturated soil[J]. Canadian Geotechnical Journal,1998,35(3):411–425.
[17] SIMMS P,YANFUL E. Predicting soil-water characteristic curves of compacted plastic soils from measured pore-size distributions[J]. Géotechnique,2002,52(4):269–278.
[18] ASSOULINE S. Modeling the relationship between soil bulk density and the water retention curve[J]. Vadose Zone Journal,2006,5(2):554–563.
[19] NUTH M,LALOUI L. Advances in modelling hysteretic water retention curve in deformable soils[J]. Computers and Geotechnics,2008,35(6):835–844.
[20] 孙德安,孙文静,孟德林. 膨胀性非饱和土水力和力学性质的弹塑性模拟[J]. 岩土工程学报,2010,32(10):1 505–1 512.(SUN Dean,SUN Wenjing,MENG Delin. Elastoplastic modelling of hydraulic and mechanical behaviour of unsaturated expansive soils[J]. Chinese Journal of Geotechnical Engineering,2010,32(10):1 505–1 512.(in Chinese))
[21] 张雪东,赵成刚,刘 艳,等. 变形对土水特征曲线影响规律模拟研究[J]. 土木工程学报,2011,44(7):119–126.(ZHANG Xuedong,ZHAO Chenggang,LIU Yan,et al. Modeling study of the relationship between deformation and water retention curve[J]. China Civil Engineering Journal,2011,44(7):119–126.(in Chinese))
[22] 周葆春,孔令伟. 考虑体积变化的非饱和膨胀土土水特征[J]. 水利学报,2011,42(10):1 152–1 160.(ZHOU Baochun,KONG Lingwei. Effect of volume changes on soil-water characteristics of unsaturated expansive soil[J]. Journal of Hydraulic Engineering,2011,42(10): 1 152–1 160.(in Chinese))
[23] GALLIPOLI D. A hysteretic soil-water retention model accounting for cyclic variations of suction and void ratio[J]. Géotechnique,2012,62(7):605–616.
[24] TANAKA H,SHIWAKOTI D R,OMUKAI N,et al. Pore size distribution of clayey soils measured by mercury intrusion porosimetry and its relation to hydraulic conductivity[J]. Soils and Foundations,2003,43(6):63–73.
[25] NINJGARAV E,CHUNG S G,JANG W Y,et al. Pore size distribution of Pusan clay measured by mercury intrusion porosimetry[J]. KSCE Journal of Civil Engineering,2007,11(3):133–139.
[26] ASSOULINE S. A model for soil relative hydraulic conductivity based on the water retention characteristic curve[J]. Water Resources Research,2001,37(2):265–271.
[27] FREDLUND D,XING A,HUANG S. Predicting the permeability function for unsaturated soils using the soil-water characteristic curve. Canadian Geotechnical Journal,1994,31(4):533–546.
[28] LALIBERTE G E,COREY A T,BROOKS R. Properties of unsaturated porous media[R]. Colorado:Colorado State University Fort-Collins,1966.
[29] LEIJ F J. The UNSODA unsaturated soil hydraulic database:user?s manual[R]. U S:National Risk Management Research Laboratory,Office of Research and Development,US Environmental Protection Agency,1996. |
|
|
|