Abstract: Based on the research results of the non-linear dynamic model which consists of a plane network system built by spring-slider-damper, cellular automata model is developed from 2D to 3D, with the evolution rule modified. The authors design 100×100×40 grids for 3D cellular automata model, and produce 13540 synthetic seismic events. The computation results show that the tempo-spatial distribution of 3D synthetic events is consistent with that of actual natural earthquakes, and frequency-magnitude of synthetic seismic events meets G-R relation. Moreover, the synthetic events by cellular automata have fractal distribution on tempo-spatial scale. Compared with 2-D model, 3D cellular automata is more reasonable.

Key words: 3D cellular automata, Seismicity, G-R relation, Self-similar

摘要： 在由弹簧—滑块—阻尼器组成的平面网络非线性动力学模型研究的基础之上，对细胞自动机模型的演化规则进行了修改，并将其由二维拓广到三维。设计了100×100×40 网格的三维大型地震细胞自动机模型, 生成了 13540 个“地震”事件。结果表明, 三维空间“地震”事件的时空分布与天然地震有许多类似的特征，满足震级与频度的G－R关系，且有分形分布规律。由此可见，三维地震细胞自动机比二维模型更符合实际。

关键词: 三维细胞自动机, 地震活动性, G－R关系, 分形分布