Abstract

This paper is a review of a long-continued research by many Russian and foreign scientists in the theory of self-organized criticality (SOC) in application to seismological data. We mean the Unified Scaling Law for Earthquakes (USLE). This law uses the spatial similarity of earthquake epicenters to derive a generalization of the classical Gutenberg–Richter relation. We discuss why this generalization is needed for practical problems that involve space–time parameters of seismicity, and we point out possible restrictions on practical applications. Several different methods are set forth for estimating the constants in USLE with examples of their practical use.

中文翻译：

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地震统一尺度定律

摘要

本文是对许多俄罗斯和外国科学家针对自组织临界度（SOC）应用于地震数据的长期研​​究的回顾。我们指的是《地震统一定标法》（USLE）。该定律利用地震震中的空间相似性来推导经典古登堡-里希特关系的推广。我们讨论了为什么涉及地震时空参数的实际问题需要这种概括，并指出了对实际应用的可能限制。提出了几种不同的方法来估计USLE中的常数，并举例说明其实际用途。