煤田地质与勘探

2008, No.208(04) 54-56+61

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分形理论在深部粘土孔隙分布特征研究中的应用
Application of fractal theory on the structural distribution feature of deep buried clay

孙如华,李文平
SUN Ru-hua,LI Wen-ping(School of Resources and Earth Science of CUMT

摘要(Abstract):

针对深厚表土层对煤炭资源开采可能带来的安全生产及地表环境破坏问题,利用分形理论方法研究了鲁西南地区大埋深粘土的微孔隙发育规律。研究表明,该区深部粘土孔隙累计分布与孔径大小之间在双对数坐标下具良好的线性关系,相关系数在0.90以上。说明深部粘土中孔隙分布的分形结构是客观存在的,而分维值能真实地反映粘土孔隙特征,可作为一个综合指标,它也是土体孔隙定量描述的有效途径。这种粘土的孔径大于1μm左右时,其分维值在2.5~2.6。同时得出︰孔隙孔径2μm左右是该区深部粘土孔隙性质变化的界限。
Applying the fractal theory to analyze the microporous structural features in great overburden clay from the southwest regions of Shandong Province.The study shows that in this area the total porosity distribution and pore size of deep clay at the double logarithmic coordinates have a good linear relationship,and cross-correlation is greater than 90%.The authors indicate that the value of fractal dimension is a comprehensive index that can really reflect pore characters.It is soil porosity quantitative description of the effective ways.The pore aperture of this clay is greater than 1 μm,and its fractal dimension in value ranges from 2.5 to 2.6.The study also obtained that the 2 μm pore diameter of deep clay is a critical value for the porosity nature changing in this area.

关键词(KeyWords): 分形;分维;孔隙特征;相关系数
fractal;fractal dimension;porous characteristics;cross correlation

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基金项目(Foundation): 国家自然科学基金项目(40272114;40572160)

作者(Author): 孙如华,李文平
SUN Ru-hua,LI Wen-ping(School of Resources and Earth Science of CUMT

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