Abstract

The earthquake size distribution (b-value) is a significant factor to recognize the seismic activity, seismotectonic, and seismic hazard assessment. In the current work, the connection of the b-constant value with the focal depth and mechanism was studied. The effect of the study scale (global, regional and local) on the dependence of b-value on the focal mechanisms was investigated. The database is quoted from the Global Centroid Moment Tensor catalog. The selected earthquakes are the shallow normal, reverse and strike-slip events. The completeness magnitude (Mc) is 5.3. The maximum likelihood method is utilized to compute the b-value. The obtained results show that the b-value is decreasing with depth to range 10-20 km, then increases to the depth of 40km. The turning point of b-value (increasing of b-value) locates at the depth of the transition brittle-ductile zone. Globally and regionally, low, moderate, and high b-values are associated with reverse, strike-slip, and normal focal mechanisms, respectively, while locally, the relation between b-values and focal mechanisms shows different association trends, such as low, moderate, and high b-values are associated with normal, strike-slip, and reverse focal mechanisms and so on.

Highlights

  • The earthquake-magnitude distribution follows the Gutenberg-Richter power law (Gutenberg and Richter, 1944)

  • The remarkable trend in the reliance of b-value on depth is the decreasing in b-constant value at depth about

  • We have investigated variations of b constant value of the earthquake’s frequency-magnitude relation with the focal depth and the focal mechanisms

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Summary

Introduction

The earthquake-magnitude distribution follows the Gutenberg-Richter power law (Gutenberg and Richter, 1944) This distribution is described by log10N= a – bM, where N is the total number of earthquakes with magnitude ≥ M, and a, b are constants. Gutenberg and Richter (1944) investigated the depth variation of the b-value. They found that the b-value of shallow events is less than b-value of intermediate and deep events. Variation of b-value is often statistically insignificant and that the lowering of b-constant value with depth should be explained with care (Amorese et al 2010). The dependence of b-constant value on depth value was investigated locally and/or

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