Avalanche duration time in a simple heterogeneous Olami-Feder-Christensen model

A modified version of the Olami-Feder-Christensen model has been introduced to consider the difference between avalanche duration distribution. The duration time of our model well demonstrates the power-law behavior and finite size scaling. Relationship between earthquake duration time and average size has been discussed. It gives a power-law behavior and provides a new evidence of self-organized criticality. We have investigated foreshock and aftershock and discovered that the probability of middle-size earthquake in the aftershock was significantly greater than others. The real data of Sichuan earthquake is in alignment with our model.