Dependence of surface fracture energy on earthquake size: A derivation from hierarchical self-similar fault zone geometry

Physics – Geophysics

Scientific paper

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Structural Geology: Fractures And Faults, Tectonophysics: Dynamics And Mechanics Of Faulting (8004), Seismology: Earthquake Dynamics (1242), Structural Geology: Mechanics, Theory, And Modeling, Nonlinear Geophysics: Fractals And Multifractals

Scientific paper

Based on the hierarchical self-similar geometry of fault zones in which fault segments and jogs of different hierarchical ranks are nested, I formulated surface fracture energy of jogs and the mean surface fracture energy averaged over the rupture surface. I incorporated this theory with a new finding that the distribution of microfractures in fault jogs is fractal with a universal fractal dimension of 1.56 (2-D measurements), and derived the result that both fracture energy of jogs and the mean fracture energy are proportional to the rupture length to the power of 0.56.

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