›› 2014, Vol. 35 ›› Issue (9): 2543-2548.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Experiment study of fractal feature and relationship between fractal dimension and permeability coefficient of gravelly soil in debris flow source area

HE Na1, 2, 3, CHEN Ning-sheng1, ZHU Yun-hua1, 2, YANG Jian-yuan4, YANG Cheng-lin1   

  1. 1. Key Laboratory of Mountain Hazards and Surface Process, Institute of Mountain Hazards and Environment, Chinese Academy of Sciences and Ministry of Water Resources, Chengdu 610041, China; 2. University of Chinese Academy of Sciences, Beijing 100049, China; 3. School of Civil Engineering，Henan Polytechnic University, Jiaozuo, Henan 454000, China; 4.East China Construction Engineering Corporation of Zhejiang, Hangzhou 310030, China)
  • Received:2013-05-16 Online:2014-09-10 Published:2014-09-16

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Abstract: On the basis of 182 gravelly soil samples taken from debris flow source area, the particle size distribution are obtained through laboratory test, fractal dimensions of samples are calculated by fractal theory. Analysis of calculated results show that the gravelly soil samples are mainly one dimension fractal; and it account for 88.46% of the total samples, the value of one dimension fractal is between 2.250－2.798. Based on the calculated fractal dimension, soil samples are configured; and self-made constant head device with controllable waterhead are used to conduct penetration experiment. The experimental results indicate that the correlation between permeability coefficient and fractal dimension is significant. When dry density equals 1.8 g/cm3, the correlation of permeability coefficient and fractal dimension is best; and the relationship between permeability coefficient and fractal dimension shows obvious power function using multiple regression analysis under different density conditions. Moreover, under same fractal dimension (condition), the permeability coefficient decreases with the increase of density; the power function relation between fractal dimension and permeability coefficient is obvious when fractal dimension ranges from 2.450 to 2.600. This study results can provide theory basis for future critical rainfall research; meanwhile, these can improve the universality and accuracy of the existing forecasting models.

Key words: debris flow, gravelly soil, permeability coefficient, fractal dimension, dry density

CLC Number: 

  • TU 411
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