煤体裂隙应力敏感性及其对渗透率的控制作用

Stress-sensitivity of coal fracture systems and its governing mechanism on permeability

  • 摘要: 研究高应力敏感性煤体裂隙在外部载荷作用下的演化机制及其对渗透率的控制作用,是揭示深部煤层瓦斯运移规律的关键。针对传统图像分析在煤体CT图像裂隙表征中的局限,研究采用深度学习算法自动分割裂隙,并基于0~25 MPa围压下的原位CT实验数据,重构了裂隙网络的三维结构与拓扑模型,量化了其结构参数的演变规律。在理论模型表征方面,不同于传统的裂隙平均化处理方式,引入币状裂隙假设来等效表征裂隙在应力下的逐级闭合行为。进而构建了反映裂隙系统基本闭合应力条件的临界应力模型。基于该理论,进一步推导出适用于高应力条件的渗透率演化模型。结果表明,深度学习模型对分布外图像的预测精度达84.14%,显著优于传统方法的40.96%,有效提升了裂隙提取准确性。当围压从0 MPa增至6 MPa时,裂隙平均开度由136.96 μm降至75.29 μm,平均迂曲度由2.87升至3.32,而表征连通性的平均配位数从2.45降至1.21。围压达25 MPa时,裂隙率平均下降98.99%,表明裂隙基本闭合。基于静水压缩实验力学数据及试错迭代算法,获得临界应力分别为24.16 MPa和23.86 MPa,对应渗透率低至8.78×10−7 μm2和4.20×10−6 μm2,其换算的扩散系数与煤粒解吸实验中测得的量级一致,间接地证明了临界应力条件对于渗流通道的封闭作用。与传统模型相比,考虑裂隙闭合和弹性压缩的渗透率演化模型预测精度显著提升,尤其在高于20 MPa的高应力条件下,平均误差降低51.14%。

     

    Abstract: The investigation into the evolution mechanisms of fractures in high-stress-sensitive coal under external loading and their controlling effects on permeability is crucial for understanding gas migration in deep coal seams. To address the limitations of traditional image analysis in characterizing fractures in coal CT images, this study employs a deep learning algorithm to automatically segment fractures. Based on in-situ CT experimental data under confining pressures ranging from 0 to 25 MPa, the three-dimensional structure and topological model of the fracture network were reconstructed, and the evolution of structural parameters was quantified. In terms of theoretical modeling, unlike conventional methods that average fracture properties, a penny-shaped fracture assumption was introduced to equivalently characterize the progressive closure of fractures under stress. A critical stress model was subsequently developed to reflect the fundamental closure stress conditions of the fracture system. Based on this theory, a permeability evolution model applicable to high-stress conditions was further derived. The results show that the deep learning model achieved a prediction accuracy of 84.14% on out-of-distribution images, significantly outperforming the traditional method (40.96%), thereby effectively improving fracture extraction accuracy. As the confining pressure increased from 0 MPa to 6 MPa, the average fracture aperture decreased from 136.96 μm to 75.29 μm, the average tortuosity increased from 2.87 to 3.32, and the average coordination number—a key indicator of connectivity—dropped from 2.45 to 1.21. At a confining pressure of 25 MPa, the fracture porosity decreased by an average of 98.99%, indicating near-complete closure of the fractures. Based on hydrostatic compression test data and a trial-and-error iterative algorithm, the critical closure stresses were determined to be 24.16 MPa and 23.86 MPa, with corresponding permeabilities as low as 8.78×10−7 μm2and 4.20×10−6 μm2, respectively. The converted diffusion coefficients matched the magnitude measured in coal particle desorption experiments, indirectly confirming that the critical-stress condition exerts a sealing effect on seepage pathways. Compared to traditional models, the proposed permeability evolution model, which accounts for both fracture closure and elastic compression, significantly improved prediction accuracy—reducing the average error by 51.14%, particularly under high-stress conditions above 20 MPa.

     

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