岩石微裂纹演化的分岔混沌与自组织特征

CHARACTERISTICS OF BIFURCATION,CHAOS AND SELF-ORGANIZATION OF EVOLUTION OF MICRO-CRACKS IN ROCK

在单向压缩应力状态下岩石微观断裂过程及微裂纹演化的试验研究结果的基础上,采用现代非线性科学的分岔、混沌和自组织理论,对微裂纹生长和演化的分岔和混沌特性进行了研究,其结果表明,可以用Logistic方程来描述微裂纹生长和演化,因此,单向压缩应力状态下岩石微观断裂过程及微裂纹演化具有分岔和混沌特性;同时对微裂纹演化过程中,岩石在各个应力阶段的微裂纹数目和规模进行了研究,岩石微裂纹演化遵守幂律规则,具有自组织特征。

On the basis of test results of micro-fracturing process and evolution of micro-cracks in rock under uniaxial compression, the theory of bifurcation, chaos and self-organization in the nonlinear dynamics are applied in the research on micro-crack property. The results show that the evolution of micro-cracks could be described by the Logistic equation, so that the evolution of micro-cracks of rock is of the characteristics of bifurcation and chaos. Meanwhile, the relationship between length and number of micro-cracks at each stress level is studied. The results show that the evolution of micro-cracks follows the power law, and the system of micro-cracks in rock is of the feature of self-organization.