Abstract
This paper reports the relationship between wave velocity and stress/strain during rock brittle failure under compression. It is assumed that the rock is a strain-softening medium whose strength can be described by Weibull’s distribution. Based on renormalization group theory, it is found that the stress ratio λ c (the ratio of the stress at the critical point to the peak stress) depends mainly on the homogeneity index or shape parameter m in the Weibull’s distribution for the rock. Measured stress–strain curves and corresponding wave velocity–strain curves in four case studies suggest that the changes caused by internal cracking are correlated to variations of rock wave velocity, and the stress at the critical point on the stress–strain curve is considered to correspond to the rapid decreasing point on the wave velocity–strain curve. For uniaxial compression, the critical stress ratio λ c is derived to be about 75.4 %, which is very close to the measured value.
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Acknowledgments
This research was supported by the Project Funded by Development Program of China (No. 2013CB036003), the Priority Academic Program Development of Jiangsu Higher Education Institutions, and the National Science Youth Foundation of China (Grant No. 41102201).
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Sun, Q., Zhu, S. Wave velocity and stress/strain in rock brittle failure. Environ Earth Sci 72, 861–866 (2014). https://doi.org/10.1007/s12665-013-3009-4
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DOI: https://doi.org/10.1007/s12665-013-3009-4