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首页> 外文期刊>Pure and Applied Geophysics >Self-organized Fractal Seismicity and b Value of Aftershocks of the 2001 Bhuj Earthquake in Kutch (India)
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Self-organized Fractal Seismicity and b Value of Aftershocks of the 2001 Bhuj Earthquake in Kutch (India)

机译：印度库奇2001年布吉地震余震的自组织分形地震活动和b值

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— The devastating intraplate earthquake of M w 7.7 of 26 January, 2001 took place along the south-dipping reverse fault in the lower crust (∼ 23 km) of Kutch, Gujarat, India, obliterating some 14,000 people. The aftershock activity has ensued for three years. We analyzed 997 aftershocks of M ≥ 3.0 to study the b value and fractal correlation dimensions in time and space. The ‘b’ value is found to be 0.8 ± 0.03 from the Gutenberg-Richter relation and 0.76 ± 0.02 from the maximum-likelihood, suggesting a typical value for the intraplate region. The spatial correlation is 1.71 ± 0.02, indicating that events are approaching a two-dimensional region. Further, the temporal correlation dimension is estimated to be 0.78 ± 0.02, confirming the structure is mono-fractal in time domain. The depth section of b value shows a peak at 15–35 km depth range coinciding with the maximum occurrence of aftershocks (∼ 47%), which is inferred as a fluid-filled highly fractured rock matrix with fractures of high density. It will be important to note that tomographic results also suggest a low Vp, low Vs and a large Poisson’s ratio for the same depth range, further confirming this inference. Additionally, we have studied the variation of D 2 s and b value with time. During the first two months of aftershock activity the results show a marked negative correlation between spatial correlation dimension D 2 (large) and b value (low), indicating the predominance of large events associated with weak clustering. The negative correlation means the stress release along faults of a larger surface area. After two months the fractal dimension (D 2 s ) and b value suggests a positive correlation implying more numerous smaller shocks with stress release along faults of a smaller surface area. This would indicate a reduced probability of large magnitude earthquakes due to fragmentation of the fault zone.
机译：— 2001年1月26日发生的毁灭性板内地震MW 7.7，发生在印度古吉拉特邦Kutch下部地壳（约23公里）的南倾反向断裂上，使约14,000人丧生。余震活动已经进行了三年。我们分析了997次M≥3.0的余震，以研究b值和时空的分形相关维。根据古腾堡-里希特（Gutenberg-Richter）关系，“ b”值为0.8±0.03，而根据最大似然关系，“ b”值为0.76±0.02，表明板内区域是典型值。空间相关性为1.71±0.02，表明事件正在接近二维区域。此外，时间相关维数估计为0.78±0.02，从而确认该结构在时域中是单分形的。 b值的深度部分显示出在15-35 km深度范围内的一个峰值，与余震的最大发生率（约47％）相吻合，可以推断为充满高裂缝的充满流体的高裂隙岩体。重要的是要注意到，层析成像结果还表明在相同深度范围内，Vp低，Vs低且泊松比大，进一步证实了这一推断。此外，我们研究了D 2 s ssup和b值随时间的变化。在余震活动的前两个月，结果显示空间相关维数D 2 （大）和b值（低）之间显着负相关，表明与弱聚类有关的大事件占优势。负相关性表示应力沿较大表面积的断层释放。两个月后，分形维数（D 2 s ）和b值表明存在正相关关系，这意味着沿着较小表面积断层的应力释放会释放出更多的较小冲击。这将表明由于断层带的破碎而降低了发生大地震的可能性。

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