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Spatiotemporal correlations of the two-dimensional spring-block(Burridge-Knopoff) models of earthquakes with the long-range inter-blockinteractions are extensively studied by means of numerical computersimulations. The long-range interaction derived from an elasticd theory, whichtakes account of the effect of the elastic body adjacent to the fault plane,falls off with distance r as 1/r^3. Comparison is made with the properties ofthe corresponding short-range models studied earlier. Seismic spatiotemporalcorrelations of the long-range models generally tend to be weaker than those ofthe short-range models. The magnitude distribution exhibits a ``near-critical''behavior, i.e., a power-law-like behavior close to the Gutenberg-Richter law,for a wide parameter range with its B-value, B\simeq 0.55, insensitive to themodel parameters, in sharp contrast to that of the 2D short-range model andthose of the 1D short-range and long-range models where such a``near-critical'' behavior is realized only by fine-tuning the modelparameters. In contrast to the short-range case, the mean stress-drop at aseismic event of the long-range model is nearly independent of its magnitude,consistently with the observation. Large events often accompany foreshockstogether with a doughnut-like quiescence as their precursors, while they hardlyaccompany aftershocks with almost negligible seismic correlations observedafter the mainshock.

Simulation study of earthquakes based on the two-dimensional Burridge-Knopoff model with the long-range interaction