Toy model of accumulation and radiation of strain energy driven by big data of earthquakes

Abstract

We propose the pointwise toy-model, which demonstrates the accumulation and radiation of the (seismic) strain-energy. The calculated absorbed-seismic-energy is mapped to the accumulated strain-energy to balance the radiated strain-energy, because the accumulation of the strain-energy is caused by the subduction of one plate below another plate rather than the absorption of the seismic energy radiated from the hypocenter, which are located at other points. The distribution function of the accumulated strain-energy can be approximated with the Γ-distribution, where the high accumulated-strain-energy-tail is approximated by the inverse-power-law like tail. Meanwhile, the distributions of the radiated and accumulated strain-energies deviate from the Γ-distribution in the both low and high radiated strain-energy-domain. In particular, they have the inverse-power-law (Pareto) type tails in both high radiated and accumulated strain-energy-tails. The accumulated and radiated strain-energies calculated in the long period indicate that the present linear-map must be improved in order to balance the accumulated strain-energy with the radiated strain-energy.