Spatial Heterogeneity of b Values in Northeastern Tibetan Plateau and Its Interpretation

Abstract

The northeastern margin of the Tibetan Plateau (NE Tibetan Plateau) exhibits active geological structures and has experienced multiple strong earthquakes, with M ≥ 7, throughout history. Particularly noteworthy is the 1920 M81/2 earthquake in the Haiyuan region that occurred a century ago and is documented as one of the deadliest earthquakes. Consequently, analyzing seismic risks in the northeastern margin of the Tibetan Plateau holds significant importance. The b value, a crucial parameter for seismic activity, plays a pivotal role in seismic hazard analyses. This study calculates the spatial b values in this region based on earthquake catalogs since 1970. The study area encompasses several major active faults, and due to variations in b values across different fault types, traditional grid-search methods may introduce significant errors in calculating the spatial b value within complex fault systems. To address this, we employed the hierarchical space–time point–process (HIST-PPM) method proposed by Ogata. This method avoids partitioning earthquake samples, optimizes parameters using Akaike’s Bayesian Information Criterion (ABIC) with entropy maximization, and theoretically allows for a higher spatial resolution and more accurate b value calculations. The results indicate a high spatial heterogeneity in b values within the study area. The northwestern and southeastern regions exhibit higher b values. Along the Haiyuan fault zone, the central rupture zone of the Haiyuan earthquake has relatively higher b values than other regions of this fault zone, which is possibly related to the sufficient release of stress during the main rupture of the Haiyuan earthquake. The b values vary from high in the west to low in the east along the Zhongwei fault. On the West Qinling fault zone, the epicenter of the recent Minxian–Zhangxian earthquake is associated with a low b value. In general, regions with low b values correspond well to areas with moderate–strong seismic events in the past 50 years. The spatial differences in b values may reflect variances in seismic hazards among fault zones and regions within the same fault zone.

Seismic Magnitudes Entropy and b-value

“…El-Isa and Eaton, 2014;Wyss, 1973) the b-value has been widely used to characterize seismicity in different regions in the world (e. g. Kagan, 1999;Utsu, 2002), and it has been proposed that b is related to the fractal dimension (Aki, 1981;Hirata, 1989;Wyss et al, 2004). There are many studies that relate b to the level of stress and observe changes in its value before large earthquakes (DeSalvio & Rudolph, 2021;El-Isa & Eaton, 2014;Enescu & Ito, 2001;Frohlich & Davis, 1993;Godano et al, 2024;Hu et al, 2024;Li & Chen, 2021;Nanjo et al, 2012;Scholtz, 2015;Schorlemmer et al, 2005;Utsu, 2002;Wang, 2016;Wyss, 1973;Wyss et al, 2004;and many others), which gives b an important role in earthquake hazard estimation and forecasting.…”