A New b Value Estimation Method in Rock Acoustic Emission Testing
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH(2020)
Abstract
The Gutenberg-Richter (G-R) relationship has been regarded as the fundamental description of the size distribution from large-scale-earthquake to small-scale-laboratory rock ruptures. However, because deviation from the G-R relationship has often been reported, especially when the amplitude distribution is used for b value estimation in rock acoustic emission testing, the effect of attenuation should be considered. Here, we perform a detailed analysis on the deviation of the size distribution from a G-R law and discuss modification of the attenuation on the doubly truncated size distribution from a more general perspective. We find that the attenuation will not modify the size distribution, and the b value is theoretically verified to be unchanged within an interval specified by the minimum and maximum amount of attenuation. Based on these discussions, we propose a new b value estimation procedure for rock acoustic emission testing and apply it to a dilation rupturing test; the results confirm that b value depends on material heterogeneity and stress.
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Key words
rock acoustic emission,b value,amplitude‐,frequency distribution,attenuation,doubly truncated size distribution,standard b value estimation procedure
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