Self-similar branching of aftershock sequences
Self-similar branching of aftershock sequences
复制标题
余震序列的自相似分支
DOI：
10.1016/j.physa.2007.09.045
复制
发表时间：
2008
影响因子：
3.3
通讯作者：
J. Rundle
中科院分区：
文献类型：
--
作者：
J. Holliday;D. Turcotte;J. Rundle
在本文中，我们提出了地震活动的分支余震序列（BASS）模型。我们建议 BASS 模型是广泛研究的流行型余震序列 (ETAS) 模型的首选替代模型。在 BASS 模型中指定了初始地震或种子地震。随后的地震是根据震级、时间和位置的统计分布获得的。震级标度基于古腾堡-里希特标度关系和针对余震相对于种子地震震级的标度关系的修正巴斯定律的组合。大森定律规定了地震时间的分布，大森定律的修改形式规定了地震位置的分布。由于 BASS 模型是由四个标度关系指定的，因此它是完全自相似的。 ETAS 的情况并非如此。我们还给出了 BASS 的确定性版本，并表明它以与扩散限制聚合 (DLA) 类似的方式满足德永侧枝统计。
In this paper we propose a branching aftershock sequence (BASS) model for seismicity. We suggest that the BASS model is a preferred alternative to the widely studied epidemic type aftershock sequence (ETAS) model. In the BASS model an initial, or seed, earthquake is specified. The subsequent earthquakes are obtained from the statistical distributions of magnitude, time, and location. The magnitude scaling is based on a combination of the Gutenberg–Richter scaling relation and the modified Båth’s law for the scaling relation of aftershocks relative to the magnitude of the seed earthquake. Omori’s law specifies the distribution of earthquake times, and a modified form of Omori’s law specifies the distribution of earthquake locations. Since the BASS model is specified by the four scaling relations, it is fully self-similar. This is not the case for ETAS. We also give a deterministic version of BASS and show that it satisfies Tokunaga side-branching statistics in a similar way to diffusion-limited aggregation (DLA).