QUANTIFYING ROUGH FRACTURE BEHAVIORS IN GAS-BEARING COAL SEAM: A FULLY COUPLED FRACTAL ANALYSIS

Fractals Pub Date : 2024-05-29 DOI:10.1142/s0218348x24500853
ZHOU ZHOU, WAN ZHIJUN, LIU GUANNAN, YU BOMING, YE DAYU, WEI MINGYAO
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Abstract

In gas-bearing coal seam mining projects, the pivotal considerations encompass the assessment of gas migration, emission trends, and coal seam stability, which are crucial for ensuring both the safety and efficiency of the project. The accurate evaluation of the nonlinear evolution of the fracture network, acting as the primary conduit for gas migration and influenced by mining disturbances, coal seam stress, overlying strata pressure, and gas pressure, emerges as a key determinant in gauging coal seam stress and safety. To address the industry challenge of quantitatively assessing the complex behaviors of fracture networks during gas-bearing coal seam extraction, this study introduces a novel, interdisciplinary fractal analysis model. Drawing upon fractal theory for classical porous media, four fractal parameters capable of quantitatively characterizing the microscopic behaviors of fractures are proposed and defined as functions of permeability. Subsequently, the gas pressure in gas-bearing coal seams, coal seam deformation and stress, in-situ stress, overlying strata pressure, and adsorption–desorption effects are comprehensively coupled and applied to the classic gas-bearing coal seam at the Jianxin Coal Mine’s 4301 working face in Shaanxi, China. Upon the robust validation of the proposed model, the present computational results reveal: (1) the proposed micro-parameters adeptly characterize the number, roughness, tortuosity, and length of fractures in gas-bearing coal seams; (2) a larger fractal dimension of fractures leads to increased coal seam stress and strain, while the fractal dimensions of fracture tortuosity and roughness are inversely proportional to coal seam stress and strain; (3) these fractal parameters directly induce evolutionary changes in gas seepage behavior, leading to varying degrees of mechanical property evolution in the coal seam. When DS and DT increased from 1.2 to 1.8, the maximum change in coal seam deformation was 16.9% and 13.8%, respectively, and when 𝜀 increases from 0.03 to 0.12, the coal seam deformation changes by 15.1%. This represents a quantitative characterization unattainable by previously published coal seam analysis models, including mainstream fractal computation models.

含瓦斯煤层粗糙断裂行为的量化:全耦合分形分析
在含瓦斯煤层开采项目中,瓦斯迁移、排放趋势和煤层稳定性评估是关键考虑因素,对确保项目的安全和效率至关重要。断裂网络是瓦斯迁移的主要通道,受采矿扰动、煤层应力、上覆地层压力和瓦斯压力的影响,准确评估断裂网络的非线性演变是衡量煤层应力和安全的关键因素。为了应对行业挑战,定量评估含瓦斯煤层开采过程中断裂网络的复杂行为,本研究引入了一种新颖的跨学科分形分析模型。借鉴经典多孔介质的分形理论,提出了能够定量描述裂缝微观行为的四个分形参数,并将其定义为渗透率的函数。随后,将含瓦斯煤层中的瓦斯压力、煤层变形和应力、原位应力、上覆地层压力和吸附-解吸效应进行综合耦合,并应用于中国陕西建新煤矿 4301 工作面的典型含瓦斯煤层。通过对所建模型的稳健验证,计算结果表明(1)所提出的微观参数能够很好地表征含瓦斯煤层中裂隙的数量、粗糙度、曲折度和长度;(2)裂隙的分形维数越大,煤层应力和应变越大,而裂隙曲折度和粗糙度的分形维数与煤层应力和应变成反比;(3)这些分形参数直接引起瓦斯渗流行为的演化变化,从而导致煤层不同程度的力学性能演化。当DS和DT从1.2增加到1.8时,煤层变形的最大变化率分别为16.9%和13.8%;当𝜀从0.03增加到0.12时,煤层变形的变化率为15.1%。这是以前发表的煤层分析模型(包括主流的分形计算模型)无法达到的定量特征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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