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彭水页岩节理面形貌的分形特征及基于节理粗糙度系数的各向异性表征
Fractal characteristics of joint surface morphology of Pengshui shale and anisotropic characterization based on joint roughness coefficient
【摘要】 岩石节理粗糙度各向异性的定量表征对其力学特性的评估具有重要意义,然而,节理面形貌结构的复杂性以及现有分析方法的局限性给粗糙度计算及各向异性评估带来诸多挑战。以重庆彭水地区的页岩为研究对象,结合分形拓扑理论与节理粗糙度系数JRC(joint roughness coefficient)定量表征节理面形貌各向异性。首先,利用三维激光扫描仪获取了不同劈裂方向的页岩样品表面粗糙形貌;随后,在各个方向上计算了节理剖面线的JRC及分形维数D以比较节理面的各向异性特征。研究结果表明:(1)JRC综合考虑了节理剖面的分形特征与振幅特征,较分形维数D而言,与劈裂方向表现出更强的相关性,以页岩纹理面为参考面,该面与劈裂方向之间的夹角越大,节理面的JRC值越高。(2)单个节理面的JRC值分布可采用椭圆近似拟合,且该椭圆的面积随着纹理面与劈裂方向夹角的增大而增大,这表明当劈裂方向垂直于纹理面时,裂隙面更加粗糙。为岩石节理面各向异性特征的定量表征提供了方法参考,也为劈裂方向对节理面粗糙度控制机制的挖掘提供了新思路。
【Abstract】 Quantitative characterization of the anisotropy of rock joint roughness is crucial for evaluating joint mechanical properties. However, the complex structure of joint surfaces and the limitations of current analytical methods pose significant challenges to roughness calculation and anisotropy evaluation. This study focuses on shale from the Pengshui area in Chongqing, China, combining fractal topography theory and the joint roughness coefficient(JRC) to characterize the anisotropy of joint surfaces. Using a 3D laser scanner, the morphology of joint surfaces from shale samples fractured in different directions was captured. JRC and Fractal Dimension(D) of joint profiles were then calculated in various directions to compare joint surface anisotropy. The results indicate that:(1) JRC, which considers both fractal properties and amplitude characteristics of joint profiles, shows a stronger correlation with fracture orientation than D. Using the bedding plane of shale as a reference, a larger angle between the reference plane and the fracturing direction results in a higher JRC value for the joint surface.(2) The JRC values for a single joint surface can be approximated by an elliptical fit, with the area of the ellipse increasing as the angle between the rock bedding and the fracturing direction increases. This implies that when the fracturing direction is perpendicular to the bedding plane, the fracture surface is rougher. This research provides a reference for characterizing joint surface anisotropy and offers guidance for understanding the relationship between fracturing direction and joint surface roughness.
【Key words】 fractal topography; fractal dimension; fracture surface; roughness; anisotropy;
- 【文献出处】 岩土力学 ,Rock and Soil Mechanics , 编辑部邮箱 ,2025年11期
- 【分类号】TU45
- 【下载频次】46