|
|
|
| Estimation model of soil permeability coefficient based on Poiseuille?s law |
| SUN Junjie1，2，3，TIAN Wentong1，LIU Kun1，2，3，FENG Minjie1，LI Na1 |
| (1. Lanzhou Institute of Seismology，China Earthquake Administration，Lanzhou，Gansu 730000，China；2. Key Laboratory of Loess Earthquake Engineering，China Earthquake Administration and Gansu Province，Lanzhou，Gansu 730000，China；3. Geotechnical Disaster Prevention Engineering Technology Research Center of Gansu Province，Lanzhou，Gansu 730000，China) |
|
|
|
|
Abstract Calculating the permeability of soil theoretically is very difficult due to complexity of soil properties. A concept of equivalent pipe-diameter was introduced and a mathematical expression was derived in the paper for the estimation of soil permeability based on Poiseuille?s law. The rationality and applicability of the model were carefully checked against the special laboratory data of permeability tests. Results showed that the percolation path of soil could be converted into a series of thin pipes by means of the equivalence principle. The mathematical expression of equivalent pipe-diameter considered the influencing factors to soil permeability，such as the compactness，bound water content，particle grading，pattern distribution and geometric shape of soil particles. The model produced results in agreement with the laboratory data. The estimation model was found to be applicable to the soils with the particle sizes between 0.002 mm(lower bound of coarse clay，0.002 mm) and 0.500 mm(upper bound of medium sand，0.500 mm).
|
|
|
|
|
|
| [1] 许建聪，尚岳全. 碎石土渗透特性对滑坡稳定性的影响[J]. 岩石力学与工程学报，2006，25(11)：2 264–2 271.(XU Jiancong，SHANG Yuequan. Influence of permeability of gravel soil on debris landslide stability[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(11)：2 264–2 271.(in Chinese))
[2] 黎志辉，陈晓平，周秋娟. 饱和软黏土渗透特性及对一维大变形固结影响[J]. 岩石力学与工程学报，2009，28(增2)：3 746–3 752.(LI Zhihui，CHEN Xiaoping，ZHOU Qiujuan. Permeability of saturated soft clays and its effects on one-dimensional large strain consolidation[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(supp.2)：3 746–3 752.(in Chinese))
[3] 黄雪峰，李 佳. 渗透对非饱和原状黄土高边坡土压力和水平位移影响的试验研究[J]. 岩石力学与工程学报，2011，30(3)：635–642.(HUANG Xuefeng，LI Jia. Test study on influence of immersion on earth pressure and horizontal displacement of high slope of unsaturated intact loess[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(3)：635–642.(in Chinese))
[4] 张 磊，张璐璐，程 演，等. 考虑潜蚀影响的降雨入渗边坡稳定性分析[J]. 岩土工程学报，2014，36(9)：1 680–1 687.(ZHANG Lei，ZHANG Lulu，CHEN Yan，et al. Slope stability under rainfall infiltration considering internal erosion[J]. Chinese Journal of Geotechnical Engineering，2014，36(9)：1 680–1 687.(in Chinese))
[5] 孔令伟，李新明，田湖南. 砂土渗透系数的细粒效应与其状态参数关联性[J]. 岩土力学，2011，32(增刊2)：21–26.(KONG Lingwei，LI Xinming，TIAN Hunan. Effect of fines content on permeability coefficient of sand and its correlation with state parameters[J]. Rock and Soil Mechanics，2011，32(supp.2)：21–26.(in Chinese))
[6] 顾正维，孙炳楠，董邑宁. 粘土的原状土、重塑土和固化土渗透性试验研究[J]. 岩石力学与工程学报，2003，22(3)：505–508.(GU Zhengwei，SUN Bingnan，DONG Yining. Testing study on permeability of the original clay，recomposed clay and improved clay with stabilizer ZDYT-1[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(3)：505–508.(in Chinese))
[7] 梁健伟，房营光. 极细颗粒黏土渗流特性试验研究[J]. 岩石力学与工程学报，2010，29(6)：1 222–1 230.(LIANG Jianwei，FANG Yingguang. Experimental study of seepage characteristics of tiny-particle clay[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(6)： 1 222–1 230.(in Chinese))
[8] 许 江，袁 梅，李波波，等. 煤的变质程度、孔隙特征与渗透率关系的试验研究[J]. 岩石力学与工程学报，2012，31(4)：681–687.(XU Jiang，YUAN Mei，LI Bobo，et al. Experimental study of relationships between metamorphic grade，pore characteristics and permeability of coal[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(4)：681–687.(in Chinese))
[9] 张改玲，王雅敬. 高围压下砂土的渗透特性试验研究[J]. 岩土力学，2014，35(10)：2 748–2 755.(ZHANG Gailing，WANG Yajing. Experimental investigation of hydraulic conductivity of sand under high confining pressure[J]. Rock and Soil Mechanics，2014，35(10)：2 748–2 755.(in Chinese))
[10] 苏立君，张宜健，王铁行. 不同粒径级砂土渗透特性试验研究[J]. 岩土力学，2014，35(5)：1 289–1 294.(SU Lijun，ZHANG Yijian，WANG Tiexing. Investigation on permeability of sands with different particle sizes[J]. Rock and Soil Mechanics，2014，35(5)：1 289– 1 294.(in Chinese))
[11] 姚志华，陈正汉，黄雪峰，等. 非饱和原状和重塑Q3黄土渗水特性研究[J]. 岩土工程学报，2012，34(6)：1 020–1 027.(YAO Zhihua，CHEN Zhenghan，HUANG Xuefeng，et al. Hydraulic conductivity of unsaturated undisturbed and remolded Q3 loess[J]. Chinese Journal of Geotechnical Engineering，2012，34(6)：1 020–1 027.(in Chinese))
[12] THOMSEN K L. Percolation cooling of the Three Mile Island Unit 2 lower head by way of thermal cracking and gap formation[J]. Nuclear Technology：A Journal of the American Nuclear Society，2002，137(1)：28–46.
[13] INDRARATNA B，PRICE J，RANJITH P. Some aspects of unsaturated flow in jointed rock[J]. International Journal of Rock Mechanics and Mining Sciences，2002，39(5)：555–568.
[14] XU J，SANKAR B V. Finite element based method to predict gas permeability in cross-ply laminates[J]. Journal of Composite Materials，2008，42(9)：849–864.
[15] VU Minh-Ngoc，POUYA A. Fluid flow and effective permeability of an infinite matrix containing disc-shaped cracks[J]. Advances in Water Resources，2012，42(6)：37–46.
[16] VU Minh-Ngoc，POUYA A，SEYEDI M D. Theoretical and numerical study of the steady-state flow through finite fractured porous media[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2014，38(3)：221–235.
[17] XIAO X L，ENDRUWEIT A，ZENG X S，et al. Through-thickness permeability study of orthogonal and angle-interlock woven fabrics[J]. Journal of Materials Science，2015，50(3)：1 257–1 266.
[18] 何 俊，施建勇. 膨润土中饱和渗透系数的计算[J]. 岩石力学与工程学报，2007，26(增2)：3 920–3 925.(HE Jun，SHI Jianyong. Calculation of saturated permeability coefficient of bentonite[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(supp.2)：3 920–3 925.(in Chinese))
[19] NAEINI S A，BAZIAR M H. Effect of fines content on steady state strength of mixed and layered samples of a sand[J]. Soil Dynamics and Earthquake Engineering，2004，24(3)：181–187.
[20] YIN J H. Properties and behavior of Hong Kong marine deposits with different clay contents[J]. Canadian Geotechnical Journal，1999，36(6)：1 085–1 095.
[21] XENAKI V C，ATHANASOPOULOUS G A. Liquefaction resistance of sand-silt mixtures：an experimental investigation of the effect of fines[J]. Soil Dynamics and Earthquake Engineering，2003，23(3)：1–12.
[22] THEVANAYAGAM S，MOHAN S. Intergranular state variables and stress-strain behaviour of silty sands[J]. Geotechnique，2000，50 (1)：1–23.
[23] AMER A M，AWAD A A. Permeability of Cohesion-less soils[J]. Journal of the Geotechnical Engineering Division，ASCE，1974，100(12)：1 309–1 316.
[24] SUTERA S P，SKALAK R. The history of Poiseuille?s law[J]. Annual Review of Fluid Mechanics，1993，25(1)：1–19.
[25] WANG Yajing，LU Sen，REN Tusheng，et al. Bound water content of air-dry soils measured by thermal analysis[J]. Soil Science Society of America Journal，2011，75(2)：481–487. |
|
|
|
2016, Vol. 35 
