Self-organized criticality of long-range interactions Olami–Feder–Christensen with relaxation model

Abstract

Through the study of the real seismic behavior, we find that large mainshocks are often followed by aftershocks. Mainshocks occur instantaneously, while aftershocks feature relatively slow relaxation. Based on the Olami–Feder–Christensen with relaxation (OFCR) model, the long-range interactions and new energy distribution rule are added into our model. At the same time, we find that the statistical distributions of seismic magnitude, and time intervals of mainshock and aftershock conform to the power law behaviors. By comparing the curves of aftershock and mainshock behaviors, we find that they have similar distribution characteristics, which indicates that the study of aftershock behavior is of practical significance for the study of large earthquakes. Meanwhile long-range interactions OFCR model can provide a good supplement for the large earthquake data.