Studies of the frequency-magnitude relation of earthquakes based on a one-dimensional dynamical lattice model

摘要

The Gutenberg-Richter-type frequency-magnitude (FM) relation is studied based on a one-dimensional (1-D) dynamical lattice model. The effects on the FM relation and its scaling exponent, of earthquakes due to model parameters are reviewed. A fractal distribution of the breaking strengths is defined by using the fractal dimension. Finally, simulation results show that three kinds of model events are generated and these include microscopic, localized, and de-localized events.