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To D or not to D? Re-evaluating particle-size distributions in natural and experimental fault rocks

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Abstract Cataclasis is a first-order mechanism shaping fault-rock development in the brittle crust. The most accepted model for cataclasis is “constrained comminution” which predicts a power-law distribution of particle size… Click to show full abstract

Abstract Cataclasis is a first-order mechanism shaping fault-rock development in the brittle crust. The most accepted model for cataclasis is “constrained comminution” which predicts a power-law distribution of particle size described by the fractal dimension, D. In this paper, we statistically test for the presence of power-law scaling in 61 naturally and experimentally deformed fault rocks, thereby assessing the validity of the constrained comminution model. We find that no data set exhibits compelling evidence for power-law scaling, even when a lower threshold is applied to promote the appearance of power-law scaling. Log-normal distributions provide better fits to statistically conclusive test cases, both when using a lower threshold (91% of cases) and when examining the full data sets. Thus, our results are not consistent with constrained comminution. We propose that log-normal distributions provide a more useful description of fault-rock particle-size distributions and discuss the implications for the mechanisms of cataclasis.

Keywords: particle size; fault; fault rocks; power law

Journal Title: Earth and Planetary Science Letters
Year Published: 2021

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