岩石细观断裂过程的分叉与混沌特征

Research on Bifurcation and Chaos Characteristics of Meso-Scopic Fracture Process of Rock

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 。

On the basis of test results of meso-scopic fracture process and evolution of microcracks of rock in uniaxial compression,the number and orientation of microcracks at each stress level are obtained.A mathematical model for describing the germination and evolution of microcracks is proposed.The bifurcation and chaos behaviours of the evolution of microcracks and meso-scopic fracture process are studied for the first time with the bifurcation and chaos theory of modern nonlinear science.When the characteristic values which represent the gernimation and closure effect of microcracks take certain values,the evolution of microcracks can be described by the Logistic equation.Therefore,the evolution of microcracks of rock has the bifurcation and chaos characteristics.[WT5HZ]