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岩石破裂系分形及分维数测定

FRACTAL DEMENSION OF GRANITE FRACTURE SYSTEM UNDER SOLID MEDIUM TRI-AXIAL COMPRESSION.

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【作者】 程海旭吴开统庄灿涛

【Author】 Cheng Haixu; Wu Kaitong; Zhuang Cantao (Center for Analysis and Prediction, State Seismological Bureau, Beijing 100036, P.R.China)

【机构】 国家地震局分析预报中心

【摘要】 花岗岩在固体围压三轴压缩下破裂,然后沿主破裂面摩擦滑动(粘滑或稳滑),实验后我们将样品从围压介质铅中剥出来,做成显微薄片,在20倍显微投影仪下观测其主破裂及裂纹系分布,用尺度法统计并计算裂纹系分维。结果表明,8个样品的无标度区(R)都相同,但是随尺度变化,分维值表现出分段线性的特征。当0.05<R<0.15mm时,裂纹系分维在1.12-1.41之间,主破裂分维在1.08-1.15之间;当0.15<R<7.5mm时,裂纹系分维在1.46-1.83之间,主破裂分维在1.22-1.53之间。主破裂和裂纹系分维值都和围压、应变率等实验条件及破裂强度有关。随围压和应变率不同,主破裂和裂纹系发育成不同形态。在实验的8个样品中,可以用分数维来识别裂纹系的形态和微裂纹的多少。

【Abstract】 After granite fractured under confining solid medium triaxial pressure, friction sliding (stable sliding or stick sliding) occurred along main fracture surfaces. In our study, the distribution of main fractures and a fracture system in microsections was observed by using microprojector (X20), and the fractal dimension of the fracture system was measured and calculated. The results show that the no-scaling zones (R) are the same for eight samples. When Ris between 0.05 mm and 0.15mm, the fractal dimension (D value) of the fracture system is between 1. 12 and 1.41, and D values of the main fracturcs are between 1.08 and 1.15.When R is between 0. 15min and 7.5inm, D values of the fracture system is between 1.46 and 1.83, and D values of the main fractures are related to the fracture strength and test conditions such as confining pressure, strain rate, etc. With different of strain rate and confining pressure, the fracture system appears as different patterns, such as single fracture sytein, the "λ" -shape fracture system or "X"-shape of fracture system. It follows that the D value can be used a parameter to classify fractures.

【关键词】 破裂系分维数
【Key words】 fracture system fractal dimension
【基金】 国家地震局科技监测司"八·五"规划项目
  • 【文献出处】 地球物理学进展 ,PROGRESS IN GEOPHYSICS , 编辑部邮箱 ,1995年01期
  • 【分类号】TU454
  • 【被引频次】9
  • 【下载频次】154
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