基于受损树状分支网络的煤炭注水粗裂缝渗透率新模型

Fractals Pub Date : 2024-04-03 DOI:10.1142/s0218348x24500579
ZHEN LIU, ZHENG LI, HE YANG, JING HAN, MUYAO ZHU, SHUAI DONG, ZEHAN YU
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引用次数: 0

摘要

煤的断裂网络结构非常复杂,利用树状分支网络表征煤的断裂网络结构一直是一个热点问题。本文提出了一种基于受损树状分支网络的新型注水煤粗断裂渗透率模型。在该模型中,分形理论和正弦波模型被用来表征断裂结构的粗糙特征。此外,还通过自主研发的实验系统验证了模型的适用性,并对模型中的影响因素进行了灵敏度分析和权重分析。结果表明,已建立的渗透率数学模型的影响因素主要有正弦波动幅度因子、长度比、最大分支序列、破坏裂缝数量、开口比、开口裂缝尺寸和初始裂缝长度。其中,正弦波动振幅因子对渗透率的影响最大,其他两个因子成反比。因此,在脉动注水的情况下,改变水压的变化频率,可以提高正弦波分布煤裂缝的注水效率,从而提高渗透率。研究成果为进一步完善多孔介质渗流理论模型和受损树状分支网络流体流动分析提供了理论依据。
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A NEW ROUGH FRACTURE PERMEABILITY MODEL OF COAL WITH INJECTED WATER BASED ON DAMAGED TREE-LIKE BRANCHING NETWORK

The fracture network structure of coal is very complex, and it has always been a hot issue to characterize the fracture network structure of coal by using a tree-like branching network. In this paper, a new rough fracture permeability model of water injection coal based on a damaged tree-like branching network is proposed. In this model, fractal theory and sine wave model are used to characterize the rough characteristics of fracture structure. In addition, the applicability of the model is verified by the self-developed experimental system, and the sensitivity analysis and weight analysis of the influencing factors in the model are carried out. The results show that the factors affecting the permeability of the established permeability mathematical model are mainly the amplitude factors of sinusoidal fluctuation, length ratio, maximum branch series, number of damaged fractures, opening ratio, opening fractal dimension and initial fracture length. Among them, the sinusoidal fluctuation amplitude factor has the greatest influence on the permeability and the other two are inversely proportional. Therefore, with pulsating water injection, the frequency of changes in the water pressure was altered to improve the water injection efficiency in coal fractures with sinusoidal distribution to increase permeability. The research results provide a theoretical basis for further improving the theoretical models for seepage in porous media and fluid flow analysis of damaged tree-like branching networks.

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