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

HE Na; CHEN Ning-sheng; ZHU Yun-hua; YANG Jian-yuan; YANG Cheng-lin

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

更新时间：2026-06-25

- Experiment study of fractal feature and relationship between fractal dimension and permeability coefficient of gravelly soil in debris flow source area
- Vol. 35, Issue 9, (2014)
- 作者机构：
  
  1. 中国科学院水利部成都山地灾害与环境研究所山地灾害与地表过程重点实验室,成都,610041
  2. 中国科学院大学,北京,100049
  3. 河南理工大学土木工程学院,河南,焦作,454000
  4. 浙江华东建设工程有限公司,杭州,310030
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU411
- Online First：16 September 2014，
  
  Published：2014
- 稿件说明：
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HE Na, CHEN Ning-sheng, ZHU Yun-hua, et al. Experiment study of fractal feature and relationship between fractal dimension and permeability coefficient of gravelly soil in debris flow source area[J]. 2014, 35(9).
DOI：

HE Na, CHEN Ning-sheng, ZHU Yun-hua, et al. Experiment study of fractal feature and relationship between fractal dimension and permeability coefficient of gravelly soil in debris flow source area[J]. 2014, 35(9). DOI：

摘要

以取自泥石流易发区的182个砾石土土样为基础，进行室内颗分试验，通过分形理论计算各土样的分维值，经计算发现，泥石流源区砾石土以一重分形为主，一重分形的土样占样本总数的88.46%，一重分形土样的分维值介于2.250～2.798之间；以此数据为基础配置土样，通过自制、可控的常水头试验装置进行渗透试验。试验结果表明，渗透系数k与分维值D之间有极显著的相关性，且在干密度为1.8 g/cm3时相关性最好。通过多元回归分析发现，不同密度条件下，k与D之间均有较好的幂函数关系；相同的分维值条件下土样的渗透系数随密度的增大呈减小的趋势，分维值在2.450～2.600之间时，样本的干密度与渗透系数k之间的幂函数关系较为明显。试验结果可以为泥石流启动的临界雨量研究提供理论基础，提高已有预报模型的普适性及精度。

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.

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