中文摘要：

在由弹簧一滑块一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。

英文摘要：

Based on the research results of the non-linear dynamic model which consists of a plane network system built by springslider-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 13 540 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.