Non-extensive statistical analysis of acoustic emissions series recorded during the uniaxial compression of brittle rocks

V. Saltas, F. Vallianatos, D. Triantis, T. Koumoudeli and I. Stavrakas

Physica A: Statistical Mechanics and its Applications, 2019, vol. 528, issue C

Abstract: Non-extensive statistical physics (NESP) provides the theoretical tool to investigate complex systems that appear in different length-scales and violate the classical Boltzmann–Gibbs statistics. In the present study, we apply the concept of NESP to analyze the Acoustic Emissions (AE) series recorded during uniaxial compression of brittle rocks, such as marble and sandstone specimens. In both types of rock samples, the cumulative distribution of inter-event times (interval times between successive AE hits) are well described by the q-exponential function. The variations of the q-index of Tsallis entropy and of the βq parameter with the applied stress follow distinct behavior in each type of rock, indicating in both cases the entrance of the system to the critical stage of fracture. The analysis of the experimental data suggests that NESP is suitable for describing AE activity in rock samples under compression, in a similar way to Earth’s seismic activity.

Keywords: Non-extensive statistical physics; Tsallis entropy; q-exponential distribution; Acoustic emissions; Inter-event times; Brittle materials; Fracture (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:528:y:2019:i:c:s037843711930891x

DOI: 10.1016/j.physa.2019.121498

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