Aftershocks and Omori's law in a modified Carlson-Langer model with nonlinear visco-elasticity
Hidetsugu Sakaguchi, Kazuki Okamura

TL;DR
This paper introduces a modified Carlson-Langer earthquake model incorporating nonlinear visco-elasticity, successfully reproducing aftershock sequences and key seismic laws through numerical simulations on a lattice.
Contribution
It presents a novel earthquake model with nonlinear visco-elasticity that captures aftershock behavior and reproduces seismic laws.
Findings
Successfully reproduces Omori's law and Gutenberg-Richter law
Generates aftershocks due to visco-elastic damping
Validates model on a critical percolation cluster
Abstract
A modified Carlson-Langer model for earthquakes is proposed, which includes nonlinear visco-elasticity. Several aftershocks are generated after the main shock owing to the damping of the additional visco-elastic force. Both the Gutenberg-Richter law and Omori's law are reproduced in a numerical simulation of the modified Carlson-Langer model on a critical percolation cluster of a square lattice.
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