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

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 f...

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Main Authors: Houquan Zhang, Hao Shi, Yu Wu, Hai Pu
Format: Article
Language:English
Published: Wiley 2018-04-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1177/1550147718768993
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author Houquan Zhang
Hao Shi
Yu Wu
Hai Pu
author_facet Houquan Zhang
Hao Shi
Yu Wu
Hai Pu
author_sort Houquan Zhang
collection DOAJ
description 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.
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spelling doaj-art-4ed8aa07fedf4b00b4a9b67e7e4645dc2025-08-20T03:36:32ZengWileyInternational Journal of Distributed Sensor Networks1550-14772018-04-011410.1177/1550147718768993Numerical statistical analysis on self-organizing behavior of microfracturing events in rock failureHouquan Zhang0Hao Shi1Yu Wu2Hai Pu3School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, ChinaSchool of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, ChinaState Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, ChinaCurrent 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.https://doi.org/10.1177/1550147718768993
spellingShingle Houquan Zhang
Hao Shi
Yu Wu
Hai Pu
Numerical statistical analysis on self-organizing behavior of microfracturing events in rock failure
International Journal of Distributed Sensor Networks
title Numerical statistical analysis on self-organizing behavior of microfracturing events in rock failure
title_full Numerical statistical analysis on self-organizing behavior of microfracturing events in rock failure
title_fullStr Numerical statistical analysis on self-organizing behavior of microfracturing events in rock failure
title_full_unstemmed Numerical statistical analysis on self-organizing behavior of microfracturing events in rock failure
title_short Numerical statistical analysis on self-organizing behavior of microfracturing events in rock failure
title_sort numerical statistical analysis on self organizing behavior of microfracturing events in rock failure
url https://doi.org/10.1177/1550147718768993
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