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隧道失稳破坏的动力学演化模型及其判据与能量演化模型及其判据是对同一系统分别从动力学过程与能量状态两个角度的描述与判别。从两种模型对围岩分区的描述出发,利用非线性动力学中的热力学熵S、Kolmogorov熵、关联维D2的关系,证明了两模型在空间上的一致性,并通过演化时间建立了两模型的联系,证明了其在时间上的一致性。根据两种判据分别描述不同演化阶段的稳定性状态,从其对系统演化阶段的划分出发,研究了隧道系统在一般发展条件与跳跃式发展条件下动力学判据与能量判据的统一性。上述研究相互验证了两种模型及判据,并进一步阐释了隧道失稳破坏的非线性机制,对隧道围岩稳定性的状态判别与控制具有一定指导意义。
The dynamic evolution model of tunnel instability and its criterion and energy evolution model and its criterion are the description and discrimination of the same system from the two aspects of dynamic process and energy status respectively. Based on the description of the surrounding rock partitioning by the two models, the thermodynamic entropy S, Kolmogorov entropy and the correlation dimension D2 in nonlinear dynamics are used to prove the spatial consistency of the two models and the two models are established by evolutionary time The connection of the model proved its consistency in time. According to the two criteria, the stability states of different evolution stages are described respectively. Starting from the division of the system evolution stage, the unification of dynamic criterion and energy criterion of the tunnel system under the general development conditions and the leapfrog development conditions is studied . The above studies verify each other two models and criteria, and further explain the nonlinear mechanism of tunnel failure, which is of guiding significance for the state discrimination and control of the surrounding rock stability.