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根据岩石在单向压缩应力状态下细观断裂过程及微裂纹演化的试验研究结果 ,对各级应力状态下岩石的微裂纹数目和方向进行了统计分析 ,并在此基础上建立了描述微裂纹生长和演化的数学模型 ,采用现代非线性科学的分叉和混沌理论对岩石细观断裂过程和微裂纹演化过程中的分叉与混沌特征进行了研究 ,其结果表明 :当表征砂岩微裂纹存活比和闭合效应的特征量取一定值时 ,其微裂纹的演化可用Logistic方程来描述 ,因而具有分叉与混沌特征
According to the experimental research results of meso-scale fracture process and microcrack evolution under uniaxial compressive stress, the number and direction of microcracks of rock under various stress states are statistically analyzed. Based on this, Growth and evolution, using the bifurcation and chaos theory of modern non-linear science, the bifurcation and chaos characteristics in the process of rock meso-fracture and microcrack evolution are studied. The results show that when the characteristics of micro-cracks in sandstone The characteristics of the ratio and closure effect of a certain value, the evolution of the microcracks can be described by Logistic equation, which has the characteristics of bifurcation and chaos