Abstract
The elastic properties of a physical model representing a damaged rock matrix were studied using a square lattice deformed under tensile stress. The elastic modulusM of such a system varies in agreement with percolation theory as|x−x c |f, wherex is the damage parameter andx c the threshold value of the damage parameter,f≃3.6. Atx≃x c the scale dependence ofM can be expressed asM∼L −f/v, whereL is the size of the sample andv the correlation exponent in percolation theory.
The experimental results are of interest in assessing elastic properties in earthquake focal zones and fault zones in general.
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Chelidze, T.L., Spetzler, H., Getting, I.C. et al. Experimental investigation of the elastic modulus of a fractal system—A model of fractured rocks. PAGEOPH 134, 31–43 (1990). https://doi.org/10.1007/BF00878078
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DOI: https://doi.org/10.1007/BF00878078