巴斯定律修正形式在北安纳托利亚断裂带中的应用
The application of the modified form of Bath's law to the North Anatolian Fault Zone
摘要：
地震和余震序列遵循几个经验标度定律：其中一个定律是最大余震震级的巴斯定律。在这项工作中，修改形式的巴斯定律及其应用KOERI数据进行了研究。巴斯定律指出，主震与其最大余震之间的震级差近似为常数，与主震的震级无关，约为1.2。在修正的巴斯定律中，我们利用余震序列的古登堡-里克特频率-震级统计量外推得到了主震的最大余震。为了测试这一修改后的法律的适用性，6大地震发生在土耳其1950年和2004年之间的震级等于或大于6.9已被认为是。这些地震发生在北安纳托利亚断层带。此外，在这项研究中，在主震余震序列的能量分配也计算在两种不同的方式。结果表明，大部分能量是在主震中释放的。主震和最大余震之间震级差的恒定性是余震序列尺度不变行为的一个指示。
英文摘要：
Earthquakes and aftershock sequences follow several empirical scaling laws: One of these laws is Bath's law for the magnitude of the largest aftershock. In this work, Modified Form of Bath's Law and its application to KOERI data have been studied. Bath's law states that the differences in magnitudes between mainshocks and their largest detected aftershocks are approximately constant, independent of the magnitudes of mainshocks and it is about 1.2. In the modified form of Bath's law for a given mainshock we get the inferred largest aftershock of this mainshock by using an extrapolation of the Gutenberg-Richter frequency-magnitude statistics of the aftershock sequence. To test the applicability of this modified law, 6 large earthquakes that occurred in Turkey between 1950 and 2004 with magnitudes equal to or greater than 6.9 have been considered. These earthquakes take place on the North Anatolian Fault Zone. Additionally, in this study the partitioning of energy during a mainshock-aftershock sequence was also calculated in two different ways. It is shown that most of the energy is released in the mainshock. The constancy of the differences in magnitudes between mainshocks and their largest aftershocks is an indication of scale-invariant behavior of aftershock sequences.
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