The present work focuses on the three-dimensional mapping of fractal correlation dimensions and b-values of the Palghar (Maharashtra) and Pulichintala (Andhra Pradesh) regions of the Indian shield. The study is done using catalogues of 8766 Palghar earthquakes of M_L0.4–4.7 and 965 Puclichintala earthquakes of M_L ranging from −0.4 to 4.6. The b-values are estimated using the maximum likelihood approach, while fractal dimensions are modelled using the correlation dimension approach. The b-value is modelled to be 0.88 ± 0.02 for the Palghar sequence and 0.75 ± 0.04 for the Pulichintala sequence. The modelled b- and D₂-values vary from 0.1 to 2.5 and 0.39 to 2.62, respectively, for the Palghar sequence, while they vary from 0.2 to 1.68, and 0.68 to 3.0, respectively, for the Pulichintala sequence. The modelled large b-value (~ 2.5) for the Palghar sequence in particular signifies the typical characteristic of swarm earthquakes. We examine the b-D₂ correlations for both the swarm activity sequences and found a positive correlation (i.e. D₂ = 1.085 + 0.0015b) for the Palghar sequence while a negative correlation (i.e. D₂ = 0.99–0.0414b) for the Pulichintala sequence. The spatial distribution of D₂ and b-values suggests that the seismicity in the Palghar region is occurring in the areas with lower to moderate b-values and moderate correlation dimensions, while the seismicity in the Pulichintala region is occurring in areas with moderate b-values and higher D₂ values. Based on our results, we interpret the Palghar region as a high tectonic stress region, which can generate moderate earthquakes in future, while the Pulichintala region is a low stress region that can accumulate low levels of tectonic stress posing relatively less earthquake hazard.

本工作着重于印度盾构的帕尔加（Maharashtra）和普利钦塔拉（安得拉邦）地区的分形相关维和b值的三维映射。该研究是使用的8766级帕尔加尔地震目录进行中号_大号0 .4-4.7及965级Puclichintala地震中号_大号范围从-0.4至4.6。的b -值是使用最大似然方法估计，而分形维数所使用的关联维数的方法建模。对于Palghar序列，b值建模为0.88±0.02，对于Pulichintala序列，b值建模为0.75±0.04。建模的b和D ₂-值对于Palghar序列分别从0.1至2.5和0.39至2.62变化，而对于Pulichintala序列它们分别从0.2至1.68和0.68至3.0变化。为Palghar序列建模的大b值（〜2.5）特别表示群体地震的典型特征。我们检查了两个群体活动序列的b - D ₂相关性，发现Palghar序列具有正相关性（即D ₂  = 1.085 + 0.0015 b），而 Pulichintala具有负相关性（即D ₂ = 0.99-0.0414 b）顺序。D ₂的空间分布和b -值表明，在帕尔加尔区域地震活动中的区域发生具有较低至中等b -值和中度相关的尺寸，而在Pulichintala区域地震活动在区域具有中等发生b -值和较高的d ₂的值。根据我们的结果，我们将帕尔加尔地区解释为高构造应力区，将来可能会发生中等地震，而普利钦塔拉地区则是低应力区，可以积聚低水平的构造应力，从而相对减少地震危险。