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Estimation of fractal dimension and b -value of earthquakes in the Himalayan region
Arabian Journal of Geosciences Pub Date : 2021-05-14 , DOI: 10.1007/s12517-021-07271-4
Ratiranjan Jena , Tahani Abdul Aziz Ghansar , Biswajeet Pradhan , Abhishek Kumar Rai

The Himalayan belt is known for seismic activities; however, activities across this belt are not uniform due to various factors, including stress regime, heterogeneity of subsurface material, and the manner by which the major tectonic Indian plate is colliding with the Eurasian plate. In this study, three sample regions spanning northwest to northeast Himalayas (Kashmir, Nepal, and northeast Himalayan regions) were selected, and their b-values and fractal dimensions from the investigation period of 1973–2015 were calculated. Subsequently, the b-value was calculated via the Gutenberg–Richter relation and maximum likelihood method, whereas the fractal dimension or D-value was calculated using the correlation integral technique. Upon subdividing the time duration into six equal interval subsets, a variation in b-value can be observed over the years. The period 1973–2015 was selected to ensure the sufficiency of data in each subset and an adequate number of subsets for comparisons. From the low b-values, possible high-stress regions and asperities can be inferred, and the variation in stress and heterogeneity of material can be observed from the northwest to northeast Himalayas. An increase in b-value was observed on moving from the northwest to northeast Himalayas during the period of investigation. From the D-value, the extent of the epicentre cluster was observed, revealing that the epicentres were far more clustered to a point in Nepal Himalayas than in the two other regions. The spatial distribution of epicentres was more or less in 1D (fractal dimension) in the northeast and northwest Himalayas, indicating their distribution along particular geological linear features, such as major faults. Hence, a comparative study of the three regions was achieved. On the basis of the b-value, the types of fault and tectonics can be predicted, and the frequency of earthquakes in these Himalayan regions can be better understood.



中文翻译:

喜马拉雅地区地震的分形维数和b值估计

喜马拉雅带以地震活动而闻名。然而,由于各种因素,包括应力状态,地下物质的非均质性以及主要的构造印度板块与欧亚板块碰撞的方式,该带上的活动是不均匀的。在这项研究中,选择了喜马拉雅西北至东北的三个样本地区(克什米尔,尼泊尔和喜马拉雅东北地区),并计算了其1973-2015年调查期间的b值和分形维数。随后,通过古腾堡-里希特关系和最大似然法计算b值,而分形维数或D使用相关积分技术计算-值。将持续时间细分为六个等间隔的子集后,可以观察到多年来b值的变化。选择1973-2015年是为了确保每个子集的数据足够,并且要有足够数量的子集进行比较。从低b值可以推断出可能的高应力区域和凹凸,并且可以从喜马拉雅西北部到东北部观察到应力和材料异质性的变化。在调查期间,从西北向喜马拉雅山脉向东北移动时,观察到b值增加。从D值,观察到震中中心簇的程度,表明尼泊尔喜马拉雅山的震中中心比其他两个地区更集中到一个点。东北和西北喜马拉雅山的震中点的空间分布或多或少为一维(分形维数),表明它们沿特定的地质线性特征(例如主要断层)分布。因此,对这三个区域进行了比较研究。基于b值,可以预测断层和构造的类型,并且可以更好地了解这些喜马拉雅地区的地震发生频率。

更新日期:2021-05-14
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