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鲁拓,唐亚明,李喜安,等. 马兰黄土孔隙分形特征与渗透性关系[J]. 科学技术与工程, 2021, 21(19): 8138-8144.
Lu Tuo,Tang Yaming,Li Xian,et al.Relationship between pore fractal characteristics and permeability of Q3 Malan Loess[J].Science Technology and Engineering,2021,21(19):8138-8144.
马兰黄土孔隙分形特征与渗透性关系
Relationship between pore fractal characteristics and permeability of Q3 Malan Loess
投稿时间:2020-08-29  修订日期:2021-04-08
DOI:
中文关键词:  马兰黄土 压汞  分形模型  分形维数  渗透系数
英文关键词:loess  MIP  fractal mode  fractal dimension  permeability coefficient
基金项目:国家自然科学(41877225);国家自然科学基金项目(211026180335);中国地质调查局地质调查项目(DD20190642)
              
作者单位
鲁拓 长安大学
唐亚明 西安地质调查中心
长安大学
李喜安 长安大学
任永彪 长安大学
任宏玉 长安大学
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中文摘要:
      为探究Q3马兰黄土孔隙分形特征与渗透性之间的联系及为其孔隙结构量化提供参考,通过压汞试验,基于各种分形模型计算不同尺度范围孔隙分形维数,将结果与实测渗透系数及理论渗透系数进行相关分析,筛选最适模型,为渗透性评价提供参考。结果表明:(1)质量分形维数在尺度范围430~2 μm、32~0.2 μm、430~0.2μm内均与渗透系数呈正相关,相关性0.79以上,体积分形维数仅在430~0.2 μm内与渗透系数呈负相关,相关性0.70以上;(2)通过两者分形维数计算的迂曲度分形维数均与渗透系数呈负相关,相关性0.79以上,排驱压力、微孔含量与质量分形维数呈负相关、与中值孔径正相关,这与体积分形维数恰好相反。可见基于孔隙率的质量分形维数与基于孔径搭配的体积分形维数对评价马兰黄土渗透性有重要参考意义。
英文摘要:
      To explore the relationship between pore fractal dimension characteristics and permeability in Malan loess. Based on mercury injection test, pore fractal dimensions of different scales were calculated based on various fractal models, and the correlation between the results and measured permeability coefficient and theoretical permeability coefficient was analyzed, and the optimal model was selected to provide important reference value for permeability. (1) The mass fractal dimension was positively correlated with the permeability coefficient in the scale range of 430~2 μm、32~ 0.2 μm、430~ 0.2 μm, and the correlation was more than 0.79; the volume fractal dimension had a negative correlation with the permeability coefficient only in the range of 430~ 0.2μm, and the correlation was more than 0.70; (2) At the same time, the displacement pressure and micropore content have negative correlation with the mass fractal dimension and positive correlation with the median pore size, which is opposite to the volume fractal dimension. Finally, both the mass fractal dimension of porosity and the volume fractal dimension of pore size collocation are important reference for evaluating the of permeability Malan loess.
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