• 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
TAO Gao-liang, LIAO Ling-jin, LEI Da, OUYANG Qing, PENG Yin-jie, ZHANG Fan. Fractal model for bimodal soil-water characteristic curve and its application in pore classification[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(10): 1799-1809. DOI: 10.11779/CJGE202210005
Citation: TAO Gao-liang, LIAO Ling-jin, LEI Da, OUYANG Qing, PENG Yin-jie, ZHANG Fan. Fractal model for bimodal soil-water characteristic curve and its application in pore classification[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(10): 1799-1809. DOI: 10.11779/CJGE202210005

Fractal model for bimodal soil-water characteristic curve and its application in pore classification

More Information
  • Received Date: September 07, 2021
  • Available Online: December 11, 2022
  • Most existing bimodal soil-water characteristic curve (SWCC) models are derived from the empirical models for unimodal SWCC, in which the parameters have no clear physical meanings or value ranges generally. When the parameters are determined by these models, there are always multiple solutions, thus the theoretical researches on the bimodal SWCC are restricted to a large extent. According to the capillary theory, the bimodal SWCC is usually associated with the bimodal pore size distribution (PSD). On account of this, a fractal description method for the bimodal PSD is presented by using Menger sponge model, and a physical model for the bimodal SWCC is established. The established model is employed to fit twenty sets of published data of bimodal SWCC, and compared with the models proposed by other scholars. The results show that the proposed model has a good fitting performance. Furthermore, a method for pore classification is proposed from the established bimodal SWCC model. It is proved that the results obtained by this method are relatively accurate, with the advantages of simple application and clear theoretical basis.
  • [1]
    FREDLUND D G, XING A Q, HUANG S Y. 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
    [2]
    THU T M, RAHARDJO H, LEONG E C. Soil-water characteristic curve and consolidation behavior for a compacted silt[J]. Canadian Geotechnical Journal, 2007, 44(3): 266–275. doi: 10.1139/t06-114
    [3]
    ZHOU A N, HUANG R Q, SHENG D C. Capillary water retention curve and shear strength of unsaturated soils[J]. Canadian Geotechnical Journal, 2016, 53(6): 974–987. doi: 10.1139/cgj-2015-0322
    [4]
    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
    [5]
    孙德安, 徐钱垒, 陈波, 等. 广吸力范围内非饱和原状黄土的力学特性[J]. 岩土工程学报, 2020, 42(9): 1586–1592. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202009005.htm

    SUN De-an, XU Qian-lei, CHEN Bo, et al. Mechanical behavior of unsaturated intact loess over a wide suction range[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(9): 1586–1592. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202009005.htm
    [6]
    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
    [7]
    FREDLUND D G, XING A Q. Equations for the soil-water characteristic curve[J]. Canadian Geotechnical Journal, 1994, 31(4): 521–532. doi: 10.1139/t94-061
    [8]
    ZHANG L M, LI X. Microporosity structure of coarse granular soils[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2010, 136(10): 1425–1436. doi: 10.1061/(ASCE)GT.1943-5606.0000348
    [9]
    蔡国庆, 吴天驰, 王亚南, 等. 双孔结构非饱和压实土微观结构演化模型[J]. 岩土力学, 2020, 41(11): 3583–3590. doi: 10.16285/j.rsm.2020.0554

    CAI Guo-qing, WU Tian-chi, WANG Ya-nan, et al. Model of the microstructure evolution of unsaturated compacted soils with double-pore structure[J]. Rock and Soil Mechanics, 2020, 41(11): 3583–3590. (in Chinese) doi: 10.16285/j.rsm.2020.0554
    [10]
    BURGER C A, SHACKELFORD C D. Soil-water characteristic curves and dual porosity of sand–diatomaceous earth mixtures[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2001, 127(9): 790–800. doi: 10.1061/(ASCE)1090-0241(2001)127:9(790)
    [11]
    ZHANG L, CHEN Q. Predicting bimodal soil-water characteristic curves[J]. Geotechnical and Geoenvironmental Eng, 2005, 131(5): 666–670. doi: 10.1061/(ASCE)1090-0241(2005)131:5(666)
    [12]
    LIU S Y, YASUFUKU N, LIU Q, et al. Bimodal and multimodal descriptions of soil-water characteristic curves for structural soils[J]. Water Science and Technology: a Journal of the International Association on Water Pollution Research, 2013, 67(8): 1740–1747. doi: 10.2166/wst.2013.046
    [13]
    SATYANAGA A, RAHARDJO H, LEONG E C, et al. Water characteristic curve of soil with bimodal grain-size distribution[J]. Computers and Geotechnics, 2013, 48: 51–61. doi: 10.1016/j.compgeo.2012.09.008
    [14]
    PERFECT E, MCLAUGHLIN N B, KAY B D, et al. An improved fractal equation for the soil water retention curve[J]. Water Resources Research, 1996, 32(2): 281–287. doi: 10.1029/95WR02970
    [15]
    TAO G L, WU X K, XIAO H L, et al. A unified fractal model for permeability coefficient of unsaturated soil[J]. Fractals, 2019, 27(1): 1940012. doi: 10.1142/S0218348X19400127
    [16]
    徐永福, 黄寅春. 分形理论在研究非饱和土力学性质中的应用[J]. 岩土工程学报, 2006, 28(5): 635–638. doi: 10.3321/j.issn:1000-4548.2006.05.017

    XU Yong-fu, HUANG Yin-chun. Fractal-textured soils and their unsaturated mechanical properties[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(5): 635–638. (in Chinese) doi: 10.3321/j.issn:1000-4548.2006.05.017
    [17]
    PENG L, CHEN B. Fractal-based models study of the relative hydraulic conductivity and SWCC of bentonite by synchrotron radiation saxs and X-ray computed tomography[J]. Fractals, 2021, 29(7): 2150208. doi: 10.1142/S0218348X2150208X
    [18]
    XU Y F, SUN D. A fractal model for soil pores and its application to determination of water permeability[J]. Physica A: Statistical Mechanics and Its Applications, 2002, 316(1/2/3/4): 56–64.
    [19]
    徐永福, 董平. 非饱和土的水分特征曲线的分形模型[J]. 岩土力学, 2002, 23(4): 400–405. doi: 10.3969/j.issn.1000-7598.2002.04.002

    XU Yong-fu, DONG Ping. Fractal models for the soil-water characteristics of unsaturated soils[J]. Rock and Soil Mechanics, 2002, 23(4): 400–405. (in Chinese) doi: 10.3969/j.issn.1000-7598.2002.04.002
    [20]
    陶高梁, 张季如. 表征孔隙及颗粒体积与尺度分布的两类岩土体分形模型[J]. 科学通报, 2009, 54(6): 838–846. https://www.cnki.com.cn/Article/CJFDTOTAL-KXTB200906034.htm

    TAO Gao-liang, ZHANG Ji-ru. Two categories of fractal models of rock and soil expressing volume and size-distribution of pores and grains [J]. Chinese Science Bulletin, 2009, 54(6): 838–846. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-KXTB200906034.htm
    [21]
    XU Y F, SUN D A. Determination of expansive soil strength using a fractal model[J]. Fractals, 2001, 9(1): 51–60. doi: 10.1142/S0218348X01000506
    [22]
    TAO G L, CHEN Y, KONG L W, et al. A simple fractal-based model for soil-water characteristic curves incorporating effects of initial void ratios[J]. Energies, 2018, 11(6): 1419. doi: 10.3390/en11061419
    [23]
    WANG M, KONG L W, ZANG M. Effects of sample dimensions and shapes on measuring soil-water characteristic curves using pressure plate[J]. Journal of Rock Mechanics and Geotechnical Engineering, 2015, 7(4): 463–468. doi: 10.1016/j.jrmge.2015.01.002
    [24]
    LI X, LI J H, ZHANG L M. Predicting bimodal soil-water characteristic curves and permeability functions using physically based parameters[J]. Computers and Geotechnics, 2014, 57: 85–96. doi: 10.1016/j.compgeo.2014.01.004
    [25]
    SOIL V. UNK999 dataset (dataset ID)[DB]. Canada: SoilVision Systems Ltd, 2002.
    [26]
    RAHARDJO H, AUNG K K, LEONG E C, et al. Characteristics of residual soils in Singapore as formed by weathering[J]. Engineering Geology, 2004, 73(1/2): 157–169.
    [27]
    NEMES A, SCHAAP M, LEIJ F J. The UNSODA Unsaturated Soil Hydraulic Database, Version 2.0[R]. Riverside, Calif: Salinity Lab, 1999.
    [28]
    SATYANAGA A, RAHARDJO H. Unsaturated shear strength of soil with bimodal soil-water characteristic curve[J]. Géotechnique, 2019, 69(9): 828–832. doi: 10.1680/jgeot.17.P.108
    [29]
    BURGER C A, SHACKELFORD C D. Evaluating dual porosity of pelletized diatomaceous earth using bimodal soil-water characteristic curve functions[J]. Canadian Geotechnical Journal, 2001, 38(1): 53–66. doi: 10.1139/t00-084
    [30]
    LLORET A, VILLAR M V, SÁNCHEZ M, et al. Mechanical behaviour of heavily compacted bentonite under high suction changes[J]. Géotechnique, 2003, 53(1): 27–40. doi: 10.1680/geot.2003.53.1.27
    [31]
    刘松玉, 张继文. 土中孔隙分布的分形特征研究[J]. 东南大学学报, 1997, 27(3): 127–130. https://www.cnki.com.cn/Article/CJFDTOTAL-DNDX703.025.htm

    LIU Song-yu, ZHANG Ji-wen. Fractal approach to measuring soil porosity[J]. Journal of Southeast University, 1997, 27(3): 127–130. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-DNDX703.025.htm
    [32]
    杨洋, 姚海林, 陈守义. 广西膨胀土的孔隙结构特征[J]. 岩土力学, 2006, 27(1): 155–158. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200601030.htm

    YANG Yang, YAO Hai-lin, CHEN Shou-yi. Characteristics of microcosmic structure of Guangxi expansive soil[J]. Rock and Soil Mechanics, 2006, 27(1): 155–158. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200601030.htm
    [33]
    SUN D A, GAO Y, ZHOU A N, et al. Soil–water retention curves and microstructures of undisturbed and compacted Guilin lateritic clay[J]. Bulletin of Engineering Geology and the Environment, 2016, 75(2): 781–791. doi: 10.1007/s10064-015-0765-2
    [34]
    LI X, ZHANG L M. Prediction of SWCC for coarse soils considering pore size changes[C]// Experimental Unsaturated Soil Mechanics, Berlin, 2007: 401–412.
    [35]
    TAO G L, CHEN Y, XIAO H L, et al. Determining soil-water characteristic curves from mercury intrusion porosimeter test data using fractal theory[J]. Energies, 2019, 12(4): 12040752.
    [36]
    FREDLUND D G, RAHARDJO H. Soil Mechanics for Unsaturated Soils[M]. Hoboken, NJ, USA: John Wiley & Sons, Inc, 1993.
  • Related Articles

    [1]ZHANG Peng, WANG Xiang-yu, ZENG Cong, MA Bao-song. Site monitoring of mechanical characteristics of pipes during steel curved pipe jacking under large buried depth[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(10): 1842-1848. DOI: 10.11779/CJGE201610013
    [2]HE Hai-jie, LAN Ji-wu, CHEN Yun-min, ZHENG Long-hua, SHI Wei. Monitoring and analysis of slope slip process at a landfill in Northwest China[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(9): 1721-1726. DOI: 10.11779/CJGE201509022
    [3]TIAN Hao, LI Shu-cai, WANG Zhe-chao, XUE Yi-guo, ZHOU Yi, JIANG Yan-yan, ZHAO Jian-gang, WANG Lun-xiang, LÜ Xiao-qing. Field monitoring and stability analysis of underground crude oil storage caverns in construction phase[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(9): 1710-1720. DOI: 10.11779/CJGE201509021
    [4]WANG Zi-yu, LING Xian-zhang, HUI Su-qing. Field monitoring of vibration response of subgrade in a seasonally frozen region[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(9): 1591-1598. DOI: 10.11779/CJGE201509005
    [5]ZHANG Ming-ju, ZHAO Ming, WANG Peng-cheng, JIA Da-peng, LIU Yi, DU Yong-xiao. Field tests and researches on secondary stresses of advanced tunnel segments during parallel shield tunnels driving in close proximity[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(11): 2121-2126.
    [6]LI Dong-hai, WANG Meng-shu, DING Zhen-ming, LIU Jun, ZHANG Ding-li, LIU Ji-yao. Three-dimensional numerical analysis and monitoring of deformation of SMW retaining structures of deep excavations in gravelly soils[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(suppl): 120-124.
    [7]Comparative analyses of model tests and in-situ monitoring of zonal disintegration of rock mass in deep tunnels[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(1).
    [8]XU Chao, YE Guanbao, JIANG Zhusheng, ZHOU Qizhao. Research on mechanism of combined improvement of soft soils based on field monitoring[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(7): 918-921.
    [9]HU Qunfang, HUANG Hongwei. Analysis and monitoring on shield tunneling under existing adjacent tunnel[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(1): 42-47.
    [10]LIU Zhaowei, HE Manchao, XIAO Hongqu. Deformation monitoring and control measures of shallow large-span duel-linked arch tunnel[J]. Chinese Journal of Geotechnical Engineering, 2003, 25(3): 339-342.
  • Cited by

    Periodical cited type(1)

    1. 崔向阳,何华飞,王佳豪,李兆平,刘腾. 紧邻高铁站多级深基坑支护结构一体化设计分析. 地下空间与工程学报. 2024(S2): 783-792 .

    Other cited types(1)

Catalog

    Article views PDF downloads Cited by(2)
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return