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Numerical statistical analysis on self-organizing behavior of microfracturing events in rock failure

机译:岩石破裂中微破裂事件自组织行为的数值统计分析

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摘要

Current experimental investigations on microfracturing (or acoustic emission) events mainly focus on their location and distribution. A new function in rock failure process analysis (RFPA~(2D)) code was developed to capture the size and number of damage element groups in each loading step. The rock failure process evolving from the initiation, propagation, and nucleation of microcracks was visually simulated by RFPA~(2D) in this research. Based on the newly developed function, the statistical quantitative analysis of microfracturing events in rock was effectively conducted. The results show that microfracturing (failed element) events in the whole failure process accord with negative power law distribution, showing fractal features. When approaching a self-organized criticality state, the power exponent does not vary drastically, which ranges around 1.5 approximately. The power exponent decreases correspondingly as the stress increases. Through the analysis of the frequency and size of damaged element groups by rescaled range analysis method, the time series of microfracturing events exhibits the self-similar scale-invariant properties. Through the analysis by the correlation function method, the absolute value of the self-correlation coefficient of microfracturing sequence demonstrates a subsequent precursory increase after a long time delay, exhibiting long-range correlation characteristics. These fractal configuration and long-range correlations are two fingerprints of self-organized criticality, which indicates the occurrence of self-organized criticality in rock failure. Compared with the limited in situ monitoring data, this simulation can supply more sufficient information for the prediction of unstable failure and good understanding of the failure mechanism.
机译:当前对微破裂(或声发射)事件的实验研究主要集中在其位置和分布上。开发了岩石破坏过程分析(RFPA〜(2D))代码中的新功能,以捕获每个加载步骤中损坏元素组的大小和数量。通过RFPA〜(2D)直观地模拟了从微裂纹的萌生,扩展和成核演变而来的岩石破坏过程。基于新开发的函数,有效地进行了岩石中微破裂事件的统计定量分析。结果表明,整个破裂过程中的微破裂(失效元)事件符合负幂律分布,表现出分形特征。接近自组织临界状态时,功率指数不会急剧变化,大约在1.5左右。功率指数随着应力的增加而相应减小。通过重标范围分析法分析损伤单元群的频率和大小,微破裂事件的时间序列表现出自相似的尺度不变性。通过相关函数法的分析,微压裂序列自相关系数的绝对值表现出较长时间延迟后的前期增加,表现出长期的相关特征。这些分形构型和远距离相关性是自组织临界的两个指纹,表明岩石破坏中自组织临界的发生。与有限的现场监测数据相比,该模拟可以提供更多的信息来预测不稳定的故障,并更好地了解故障机理。

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