• 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引(EI)收录期刊
  • Scopus数据库收录期刊
ZHOU Li-pei, TANG Xiao-wu, CHENG Guan-chu, SUN Zu-feng. Influencing factors for calculating clay permeability using asymptotic expansion method[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(7): 1205-1211. DOI: 10.11779/CJGE201807006
Citation: ZHOU Li-pei, TANG Xiao-wu, CHENG Guan-chu, SUN Zu-feng. Influencing factors for calculating clay permeability using asymptotic expansion method[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(7): 1205-1211. DOI: 10.11779/CJGE201807006

Influencing factors for calculating clay permeability using asymptotic expansion method

More Information
  • Received Date: April 12, 2017
  • Published Date: July 24, 2018
  • The determination of representative elemental volume (REV) directly affects the calculating accuracy in permeability calculation for clay using the asymptotic expansion method in geotechnical engineering. Using the sea clay as an example, the influencing factors are studied and compared. By contrasting the results of 4 different types of regular polygon models, and different unit arrangements which are parallel and staggered and different models in 2D and 3D, the calculated permeabilities show large deviations to the measured ones but little differences among each model. It is illustrated that the shape, arrangement and dimensions of the models have little influences in the calculating accuracy. The proposed elliptical particle combined with water film model (E-W model), which takes the consideration of the flattened shape of clay particles and the strong bound water wrapping around them, well improves the accuracy. The representativeness of the physical characteristics of the clay particles is the main influencing factor of REV. The calculated permeabilities of kaolin and illite clay also exhibit high accuracy, which shows that the E-W model can be widely used in the permeability calculation for clay using the asymptotic expansion method.
  • [1]
    ANDREASSEN E, ANDREASEN C S.How to determine composite materials properties using numerical homogenization[J]. Computational Materials Science, 2014, 83: 488-495.
    [2]
    KEIP M A, STEINMANN P, SCHRODER J.Two-scale computational homogenization of electro-elasticity at finite strains[J]. Computer Methods in Applied Mechanics and Engineering, 2014, 278: 62-79.
    [3]
    BEAR J.Dynamics of fluids in porous media[M]. New York: Dover Publications, 1988.
    [4]
    吉泽升, 朱荣凯, 李丹. 传输原理[M]. 哈尔滨: 哈尔滨工业大学出版社, 2002.
    (JI Ze-sheng, ZHU Rong-kai, LI Dan.Principle of transmission[M]. Harbin: Harbin Institute of Technology Press, 2002. (in Chinese))
    [5]
    严宗毅. 低雷诺数流理论[M]. 北京: 北京大学出版社, 2002.
    (YAN Zong-yi.Theory of low reynolds number flows[M]. Beijing: Peking University Press, 2002. (in Chinese))
    [6]
    DASGUPTA A, AGARWAL R K.Oithotropic thermal conductivity of plain-wave fabric composites using a homogenization technique[J]. Journal of Composite Materials 1992, 26(18): 2736-2758.
    [7]
    WANG J G, LEUNG C F, ICHIKAWA Y.A simplified homogenization method for composite soils[J]. Computers and Geotechnics, 2002, 29: 477-500.
    [8]
    TANG X W, CHENG G C, CHEN Y M.An-easy-to implement multi-scale computation of permeability coefficient for porous materials[J]. Microporous and Mesoporous Materials, 2010, 130(13): 274-279.
    [9]
    SUN Z F, TANG X W, CHENG G C.Inversion calculation of permeability coefficient with the multi-scale asymptotic expansion method[J]. Poromechanics V, ASCE, 2013: 2212-2221.
    [10]
    BELIAEV A Y, KOZLOV S M.Darcy equation for random porous media[J]. Communications on Pure and Applied Mathematics 1996, 49: 1-34.
    [11]
    ESPEDAL M S, FASANO A, MIKELIC A.Filtration in porous media and industrial application[M]// Lecture Notes in Mathematics. Berlin: Springer-Verlag, 2000.
    [12]
    TAVENAS F, JEAN P, LEBLOND P, et al.The permeability of natural soft clays part II: permeability characteristics[J]. Canadian Geotechnical Journal, 1983, 20(4): 645-660.
    [13]
    AL-TABBAA A, WOOD D M.Some measurements of the permeability of kaolin[J]. Géotechnique, 1987, 37(4): 499-514.
    [14]
    MESRI G.Mechanisms controlling the permeability of clays[J]. Clays and Clay minerals, 1971, 19: 151-158.
    [15]
    ASTM D2434. ASTM Annual book of standards[S]. Philadelphia: American Society for Testing & Materials, 2002.
    [16]
    ASTM D5084. ASTM Annual book of standards[S]. Philadelphia: American Society for Testing & Materials, 2002.
    [17]
    ASTM D5856. ASTM Annual book of standards[S]. Philadelphia: American Society for Testing & Materials, 2002.
    [18]
    龚晓南. 高等土力学[M]. 杭州: 浙江大学出版社, 1996.
    (GONG Xiao-nan.Advanced soil mechanics[M]. Hangzhou: Zhejiang University Press, 1996. (in Chinese))
    [19]
    BRADY N C, WEIL R R.The Nature and properties of soils[M]. New Jersey: Prentice Hall, 1974.
  • Related Articles

    [1]Effect of cyclic loading frequency on shear modulus decay characteristics of saturated sand[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240491
    [2]LI Rui-shan, CHEN Long-wei, YUAN Xiao-ming, LI Cheng-cheng. Experimental study on influences of different loading frequencies on dynamic modulus and damping ratio[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(1): 71-80. DOI: 10.11779/CJGE201701005
    [3]GU Xiao-qiang, YANG Jun, HUANG Mao-song, GAO Guang-yun. Combining bender element, resonant column and cyclic torsional shear tests to determine small strain shear modulus of sand[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(4): 740-746. DOI: 10.11779/CJGE201604020
    [4]DONG Quan-yang, CAI Yuan-qiang, XU Chang-jie, WANG Jun, SUN Hong-lei, GU Chuan. Measurement of small-strain shear modulus Gmax of dry and saturated sands by bender element and resonant column tests[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(12): 2283-2289.
    [5]C. W. W. Ng, LI Qing, LIU Guo-bin. Measurements of small-strain inherent stiffness anisotropy of intact Shanghai soft clay using bender elements[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(1): 150-156.
    [6]ZHANG Peisen, SHI Jianyong. Effect of stress path circumgyration on shear modulus under small strain and initial stress state[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(3): 379-383.
    [7]SUN Yizhen, SHAO Longtan. Experimental researches on Poisson’s ratio of silty soil based on local and whole deformation measurements[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(8): 1033-1038.
    [8]Lien Kwei Chien. A study on the shear modulus and damping ratio of reclaimed soil in Yun Lin nearshore area[J]. Chinese Journal of Geotechnical Engineering, 1998, 20(6): 86-92.
    [9]Gu Yaozhang. Shear Modulus of the Marine Clay[J]. Chinese Journal of Geotechnical Engineering, 1995, 17(2): 29-35.
    [10]Li Wenyang, Liu Huishan. Influence of Pore Water Pressure on Shear Modulus and Damping Ratio of Saturated Sands[J]. Chinese Journal of Geotechnical Engineering, 1983, 5(4): 56-67.

Catalog

    Article views PDF downloads Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return