Influence of crustal viscosity on earthquake energy distribution in a viscoelastic spring-block system

Physics – Geophysics

Scientific paper

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Mathematical Geophysics: Fractals And Multifractals, Seismology: Earthquake Dynamics And Mechanics, Seismology: Theory And Modeling

Scientific paper

We show that viscosity of crust-forming rocks makes the frequency curve of earthquake energy deviate from an empirical power law relation. To estimate the effect of viscosity, we consider a modified Burridge-Knopoff type spring-block model. The model consists of the blocks connected by Maxwell springs which represent the material property of crustal rocks. We applied a method of cellular automaton model to the system. The resulting earthquake sequences depend on the relaxation time τ of the Maxwell spring. For relatively small 1/τ, where elasticity dominates, the earthquake energy frequencies show the power law relation and deviate from the relation at large earthquake energies. The separation shifts to smaller energy with increase of 1/τ. For large 1/τ, the distribution does not show the power law relation. The decay of earthquake frequencies after major mainshocks is not observed.

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