不同加卸载条件煤岩裂隙面形貌分形各向异性特征研究
Study on fractal anisotropy characteristics of fracture surface topography of coal and rock under different loading and unloading conditions
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摘要: 为研究典型破坏形式下煤岩裂隙面分形各向异性特征及其尺寸效应，以复杂破坏荷载作用下煤岩裂隙面为研究对象，采用激光扫描、CATIA三维模型重构等研究手段，结合分形理论，对煤岩裂隙面的分形各向异性特征及尺寸效应展开研究。研究表明：针对裂隙截面迹线分维而言，复杂破坏路径下的迹线分维范围在1.001 3~1.009 6之间，最大值均出现在沿裂隙扩展方向30°~90°范围内；针对裂隙截面分维而言，复杂路径破坏裂隙面的分维最大值集中在120°~300°范围内；截取的正方形裂隙截面分形维数计算结果表明，当截面尺寸边长小于20 mm时，各典型破坏裂隙面分维波动幅度范围较大，但当所取区域边长大于20 mm时，分维逐渐趋于稳定，分析裂隙面分维时初步建议采用大于20 mm的截面尺寸。Abstract: In order to study the fractal anisotropy characteristics and size effect of coal rock fracture surface under typical failure modes, taking the fracture plane of coal and rock under complex failure load as the research object, laser scanning, CATIA3D model reconstruction and other research methods are adopted to study the fractal anisotropy characteristics and size effect of the fracture plane of coal and rock under complex failure path in combination with fractal theory. The results show that, in terms of the fractal dimension of fracture cross-section trace line, the fractal dimension of the trace line under the complex failure path ranges from 1.001 3 to 1.009 6, and the maximum value is within the range of 30°-90° along the fracture expansion direction. In terms of fractal dimension of fracture section, the maximum fractal dimension of fracture surface destroyed by complex path is concentrated in the range of 120° to 300°. The fractal dimension calculation results of the truncated square fracture section show that, when the side length of the cross-section size is less than 20 mm, the fractal dimension fluctuation range of each typical fracture surface is larger, but when the side length of the selected area is greater than 20 mm, the fractal dimension gradually tends to be stable, and the sectional dimension greater than 20 mm is preliminarily recommended to be adopted when the fractal dimension of the fracture surface is analyzed.
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