论文标题
BATH的定律，相关性和幅度分布
Bath's law, correlations and magnitude distributions
论文作者
论文摘要
经验浴的定律源自地震对的大小差异统计分布。提出了与地震相关性相关的对分布。通过焦点区域中能量积累的几何增长模型，得出了动态相关地震的单事件分布。动态相关性可能至少部分地解释了Gutenberg-Richter分布中的滚动效应。伴随主要冲击的地震活性，包括余震和前锁，都可以看作是大小的波动。对负值的幅度差异的扩展导致波动的平均值消失和标准偏差，以衡量这些波动。有人建议，幅度差的标准偏差是主要冲击与其最大余震（前换）之间的平均幅度差异，从而提供了对浴室定律的性质和起源的见解。结果表明，中等标志的双重速度可能被视为浴室伴侣。还提出了随附的地震活性的确定性时间标志性相关性。
The empirical Bath's law is derived from the magnitude-difference statistical distribution of earthquake pairs. The pair distribution related to earthquake correlations is presented. The single-event distribution of dynamically correlated earthquakes is derived, by means of the geometric-growth model of energy accumulation in the focal region. The dynamical correlations may account, at least partially, for the roll-off effect in the Gutenberg-Richter distributions. The seismic activity which accompanies a main shock, including both the aftershocks and the foreshocks, can be viewed as fluctuations in magnitude. The extension of the magnitude difference to negative values leads to a vanishing mean value of the fluctuations and to the standard deviation as a measure of these fluctuations. It is suggested that the standard deviation of the magnitude difference is the average difference in magnitude between the main shock and its largest aftershock (foreshock), thus providing an insight into the nature and the origin of the Bath's law. It is shown that moderate-magnitude doublets may be viewed as Bath partners. Deterministic time-magnitude correlations of the accompanying seismic activity are also presented.
