Calculation model and experimental study on permeability coefficient of coarse-grained soil
CAO Zhixiang1，2，WANG Yuan1，ZHAO Suhua2，SONG Xinwei2，HAN Xiandong2
(1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering，Hohai University，Nanjing，Jiangsu 210098，China；2. Department of Water Conservancy and Civil Engineering，Tibet Agriculture and Animal Husbandry University，Nyingchi，
Tibet 860000，China)
Abstract：The permeability coefficient is the key parameter to demonstrate the permeability of soil，and its calculation model with a high preciseness is hard to be determined. Based on Poiseuille￠s Law，the soil in laminar flow is assumed as fine tubular clusters and a permeation physical model is then established. According to the meso-mechanism of water head loss，an overlapping coefficient is introduced，and a theoretical formula for calculating permeability coefficient is derived with specific physical meaning based on Darcy?s Law，where porosity and equivalent particle size both function as basic parameters. Permeability tests of six groups of coarse-grained soils with single particle size are carried out. The overlapping coefficient is fitted according to the experimental data，and the formula for calculating the overlapping coefficient is then obtained. It is found that the calculated results obtained from the permeability coefficient formula are almost in accordance with the experimental ones. In order to verify the applicability of the permeability coefficient formula，the experimental data of sandy soil and mixed coarse-grained soil in relevant literatures are calculated by the formula proposed in the study，and the results are in accordance with the measured values. It is also found that the accuracy of the formula in this paper is much higher than those in existing literatures with a high accuracy and reasonability when considering a comparatively large size range of particles(Mixed coarse-grained soil with particle size less than 20 mm and sandy soil with particle size ranging from 0.1 to 5 mm are considered). Finally，the applicability of the formula is analyzed and summarized.
曹志翔1，2，王 媛1，赵素华2，宋新伟2，韩宪东2. 粗粒土渗透系数计算模型及试验研究[J]. 岩石力学与工程学报, 2019, 38(S2): 3701-3708.
CAO Zhixiang1，2，WANG Yuan1，ZHAO Suhua2，SONG Xinwei2，HAN Xiandong2. Calculation model and experimental study on permeability coefficient of coarse-grained soil. , 2019, 38(S2): 3701-3708.
樊贵盛，邢日县，张明斌. 不同级配砂砾石介质渗透系数的试验研究[J]. 太原理工大学学报，2012，43(3)：373–378.(FAN Guisheng，XING Rixian，ZHANG Mingbin. Experimental study on permeability coefficient of different grades of sand and gravel media[J]. Journal of Taiyuan University of Technology，2012，43(3)：373–378.(in Chinese))
[12]
孙军杰，田文通，刘 琨，等. 基于泊肃叶定律的土体渗透系数估算模型[J]. 岩石力学与工程学报，2016，35(1)：150–161.(SUN Junjie，TIAN Wentong，LIU Kun，et al. Estimation model of soil permeability coefficient based on Poiseuille?s law[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(1)：150–161.(in Chinese))
[16]
钱 琨，王新志，陈剑文，等. 南海岛礁吹填钙质砂渗透特性试验研究[J]. 岩土力学，2017，38(6)：1 557–1 572.(QIAN Kun，WANG Xinzhi，CHEN Jianwen，et al. Experimental study on permeability of calcareous sand for islands in the South China Sea[J]. Rock and Soil Mechanics，2017，38(6)：1 557–1 572. (in Chinese))
[11]
CARMAN P C. Flow of gases through porous media[M]. London：
[5]
周 中，傅鹤林，刘宝琛，等. 土石混合体渗透性能的正交试验研究[J]. 岩土工程学报，2006，28(9)：1 134–1 138.(ZHOU Zhong，FU Helin，LIU Baozhen，et al. Orthogonal experimental study on permeability of soil-rock mixture[J]. Chinese Journal of Geotechnical Engineering，2006，28(9)：1 134–1 138.(in Chinese))
[7]
邵生俊，李建军，杨扶银. 粗粒土孔隙特征及其对泥浆渗透性的影响[J]. 岩土工程学报，2009，31(1)：59–65.(SHAO Shengjun，LI Jianjun，YANG Fuyin. Pore characteristics of coarse-grained soil and its influence on mud permeability[J]. Chinese Journal of Geotechnical Engineering，2009，31(1)：59–65.(in Chinese))
[9]
刘孟适，罗 强，郭建湖，等. 过渡型粗粒土渗透变形试验及破坏类型判别[J]. 岩石力学与工程学报，2017，36(12)：3 102–3 110. (LIU Mengshi，LUO Qiang，GUO Jianhu，et al. Experiment on seepage deformation of the transitional coarse grained soil and criterion of failure type[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(12)：3 102–3 110.(in Chinese))
[14]
中华人民共和国行业标准编写组. SL237—1999土工试验规程[S]. 北京：中国水利水电出版社，1999.(The Professional Standards Compilation Group of People?s Republic of China. SL237—1999 Geotechnical test procedures[S]. Beijing：China Water Power Press，1999.(in Chinese))
[10]
KOZENY H. Hydraulik/Ihre grundlagen und praktische anwenddung[M]. Berlin：Springer-verlag，1953：123–131.(in German)
[13]
AND S P S，SKALAK R. The history of Poiseuille?s law[J]. Annual Review of Fluid Mechanics，2003，25(1)：1–20.
[1]
郭庆国. 粗粒土的工程特性及应用[M]. 郑州：黄河水利出版社，1998：28–29.(GUO Qingguo. Engineering characteristics and application of coarse grain soil[M]. Zhengzhou：Yellow River Conservancy Press，1998：28–29.(in Chinese))
[2]
刘 勇，赵燕容. 砂土渗透系数影响因素试验研究[J]. 江苏建筑，2017，(5)：88–90.(LIU Yong，ZHAO Yanrong. Experimental study on influence factors of sand soil permeability coefficient[J]. Jiangsu Architecture，2017，(5)：88–90.(in Chinese))
[4]
朱崇辉，刘俊民，王增红. 粗粒土的颗粒级配对渗透系数的影响规律研究[J]. 人民黄河，2005，27(12)：79–81.(ZHU Chonghui，LIU Junmin，WANG Zenghong. Study on the influence law of particle-scale paired permeability coefficient of coarse-grained soil[J]. Yellow River，2005，27(12)：79–81.(in Chinese))
[6]
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 Tiehang. Experimental study on permeability characteristics of sand with different particle size grades[J]. Rock and Soil Mechanics，2014，35(5)：1 289–1 294.(in Chinese))
[8]
水利水电科学研究院. 水利水电科学研究院科学研究论文集. 第8集：岩土工程[M]. 北京：水利出版社，1982：106–113.(Institute of Water Resources and Hydropower Research. Scientific Research Papers of the Institute of Water Resources and Hydropower Research，Episode 8：Geotechnical Engineering[M]. Beijing：China Water Conservancy Press，1982：106–113.(in Chinese))
Butterworths Scientific Publications，1956：10–14.
[15]
毛昶熙. 渗流计算分析与控制[M]. 北京：水利水电出版社，1990：360–361.(MAO Changxi. Seepage computation analysis and control[M]. Beijing：China Water Power Press，1990：360–361.(in Chinese))
[17]
刘 杰. 土石坝渗流控制理论基础及工程经验教训[M]. 北京：中国水利电力出版社，2006：13–24.(LIU Jie. Theoretical basis of seepage control of earth-rock dam and engineering experience and lessons[M]. Beijing：China Water Power Press，2006：13–24.(in Chinese))
[19]
张宜健. 不同粒径级砂性土渗透特性试验研究[硕士学位论文][D].西安：西安建筑科技大学，2013.(ZHANG Yijian. Experimental study on permeability characteristics of sandy soils with different particle size[M. S. Thesis][D]. Xi?an：Xi?an University of Architecture and Technology，2013. (in Chinese))
[18]
朱崇辉. 粗粒土的渗透特性研究[硕士学位论文][D]. 杨凌：西北农林科技大学，2006.(ZHU Chonghui. Study on permeability characteristics of coarse- grained soil[[M. S. Thesis][D]. Yanglin：Northwest A&F University，2006.(in Chinese))
2019, Vol. 38 
