Fractal model for unsaturated seepage flow in fractured rock masses

REN Qiang; XU Wei-ya

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Fractal model for unsaturated seepage flow in fractured rock masses

更新时间：2026-06-25

- Fractal model for unsaturated seepage flow in fractured rock masses
- Vol. 29, Issue 10, (2008)
- 作者机构：
  
  河海大学岩土工程研究所,南京,210098
- 作者简介：
- 基金信息：
- DOI：
  CLC： TV139.14
- Online First：03 August 2013，
  
  Published：2008
- 稿件说明：
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REN Qiang, XU Wei-ya. Fractal model for unsaturated seepage flow in fractured rock masses[J]. 2008, 29(10).
DOI：

REN Qiang, XU Wei-ya. Fractal model for unsaturated seepage flow in fractured rock masses[J]. 2008, 29(10). DOI：

摘要

基于毛细吸持理论和Sierpinski空间的假定，建立了用分维数表示的毛细压力-有效饱和度及毛细压力-相对渗透系数关系的裂隙岩体非饱和渗流分形模型。根据Monte-Carlo模拟技术由平硐资料生成三维裂隙网络，利用盒维数方法计算裂隙岩体体积分维数。探讨了分维数与裂隙渗透率的关系。结合糯扎渡水利工程实例，将模型计算结果与Brook-Corey模型对比，结果表明相对渗透率主要受最大裂隙开度的影响，当裂隙开度范围不大时，分形模型可较好描述岩体裂隙的毛细压力与有效饱和度的关系。当裂隙开度范围较大时，，忽略最大裂隙开度，模型可以等价于Brook-Corey模型。

Abstract

Based on the capillary theory and Sierpinski space hypothesis

a fractal model for unsaturated seepage in fractured rock masses of function among capillary pressure

effective water saturation and relative permeability coefficient is established. In order to provide evidence to unsaturated seepage flow theory

the box dimension method is studied according to the technique of Monte-Carlo three-dimensional network simulation. The relationship between fractal dimension and unsaturated permeability is studied. A calculation example in Nuozhadu slope is given .The comparison results of proposed model and the Brook-Corey model indicate that the proposed model seems to be adequate to describe the fractured rocks for small ranges of fracture aperture and the relative permeability is mainly influenced by the maximum fracture aperture.

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