分形
磁导率
分形维数
断裂(地质)
煤
覆盖层
半径
岩土工程
覆岩压力
煤矿开采
机械
几何学
地质学
网络模型
材料科学
数学
工程类
化学
数学分析
物理
计算机科学
数据库
生物化学
膜
废物管理
计算机安全
作者
Zhen Liu,Wenzhi Yang,He Yang,Peng Hu,Shuangyue Wang
出处
期刊:Fractals
[World Scientific]
日期:2021-12-01
卷期号:29 (08)
被引量:4
标识
DOI:10.1142/s0218348x21502674
摘要
The study of water seepage characteristics in coal fracture networks is the key for accurately guiding the development of coal seam water injection technology. Based on the fractal geometry theory, we represented the shape of a fracture network in a water-injected coal body through a tree branch network; furthermore, we established a seepage model for the fracture network, determined the relationship between permeability, overburden pressure, and water pressure according to the relationship between fractal dimension and effective stress, and verified the applicability of the proposed model through a self-developed experimental system. This model was developed based on the “penny-shaped” single-fracture seepage model and did not contain any empirical constants. The results showed that the influence weight of the fracture diameter ratio ([Formula: see text] on permeability was the highest: when [Formula: see text], the permeability was almost 0, but when [Formula: see text], the permeability increased rapidly. Notably, the local and overall permeabilities of the fracture network decreased with the increase of the radial distance; when the radial distance was constant, however, the permeability of the fracture network decreased with the increase of the bifurcation series (m) and of the fracture radius. Lastly, the ratio of gap depth to length increased with the increase of the ratio of fracture depth to length ([Formula: see text]. Overall, our research results provide a theoretical basis for defining the seepage law of high-pressure water in coal bodies, as well as the relationship between permeability and several environmental parameters.
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