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[1]XIE Xianjian.Study on Fractal Feature and Relationship Between Fractal Dimension and Permeability Coefficient of Weathered Materials of Different Lithologies[J].Research of Soil and Water Conservation,2017,24(05):204-208.

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Study on Fractal Feature and Relationship Between Fractal Dimension and Permeability Coefficient of Weathered Materials of Different Lithologies

Research of Soil and Water Conservation[ISSN 1005-3409/CN 61-1272/P] Volume: 24 Number of periods: 2017 05 Page number: 204-208 Column: Public date: 2017-10-28

Title:: Study on Fractal Feature and Relationship Between Fractal Dimension and Permeability Coefficient of Weathered Materials of Different Lithologies

Author(s):: XIE Xianjian; School of Geography and Resources Science, Neijiang Normal University, Neijiang, Sichuan 641000, China

Keywords:: debris flow; weathering; fractal; coefficient of permeability

CLC:: TU411

DOI:: -

Abstract:: Based on the field sampling and laboratory analysis, the fractal feature and relationship between fractal dimension and permeability coefficient of 9 types of weathered materials of lithology were studied by using the fractal theory. The results showed that different weathered materials of lithology had significant fractal characteristics, the dimension values were between 2.567 to 2.833, and the order followed the sequence: dolomite > sandstone > quaternary sedimentary > basalt > phyllite > limestone > powder sandstone > slate > mudstone. With the fractal dimension values for the dependent variable, the content of particle size for the independent variable, the equation was built up, the results showed that the fractal dimension had a significant linear positive correlation to the content of < 0.005 mm particle size and 0.005～0.05 mm particle sizes, and a significant negative correlation to the contents of 10～20 mm, 20～40 mm and 40～60 mm particle sizes. There was no significant correlation with other particles. Furthermore, by the multiple linear regression analysis, the fractal dimensions of different weathered materials of lithology were contolled by < 0.05 mm size particle. A linear equation between fractal dimension and permeability coefficient was fitted by regression analysis, the function was expressed as y=-276.84x+810.66 with 0.919 of R² value, it was suggested that there was a good correlation between fractal dimension and permeability coefficient. In the other word, this showed that the bigger the fractal dimension, the more fine particulate matter, the smaller the coefficient of permeability, and the worse the infiltration capacity. As a result, the fractal dimension can be used as the parameter to characterize the graded composition and permeability of different weathered materials of lithology, and it can provide certain theoretical basis for the research on debris flow starting.

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