The Limits of Applicability of the Gutenberg–Richter Law in the Problems of Seismic Hazard and Risk Assessment

IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS Izvestiya, Physics of the Solid Earth Pub Date : 2024-11-22 DOI:10.1134/S1069351324700757
K. V. Krushelnitskii, P. N. Shebalin, I. A. Vorobieva, O. V. Selyutskaya, A. O. Antipova
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Abstract—The Gutenberg–Richter law establishes a log-linear relationship between the number of earthquakes that have occurred within some spatiotemporal volume and their magnitude. This similarity property presumably reflects fractal structure of the fault system in which earthquake sources are formed. The Gutenberg–Richter law plays a key role in the problems of seismic hazard and risk assessment. Using the Gutenberg–Richter relationship, we can estimate the average recurrence period of strong earthquakes from the recurrence rate of weaker earthquakes. Since the strongest earthquakes occur infrequently, with intervals of a few hundred years or more, it is not possible to directly assess their recurrence. From indirect geologic and paleoseismic estimates it often seems that strong earthquakes on individual faults occur more frequently than expected in accordance with the Gutenberg–Richter law. Such estimates underlie the hypothesis of the so-called characteristic earthquakes. This hypothesis is in many cases additionally supported by the form of the magnitude–frequency distributions for individual faults, constructed from the data of modern earthquake catalogs. At the same time, an important factor affecting the form of the magnitude–frequency distribution is the choice of the spatial domain in which the distribution is constructed. This paper investigates the influence of this factor and determines the conditions under which the Gutenberg–Richter law is applicable for estimating the recurrence of strong earthquakes.

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古腾堡-里希特定律在地震危害和风险评估问题中的适用范围
摘要--古腾堡-里克特定律在一定时空范围内发生的地震次数和震级之间建立了对数线性关系。这种相似性可能反映了形成地震源的断层系统的分形结构。古腾堡-里克特定律在地震灾害和风险评估问题上发挥着关键作用。利用古腾堡-里希特关系,我们可以根据较弱地震的重现率估算出强震的平均重现周期。由于最强烈的地震发生频率较低,间隔时间在几百年或更长,因此无法直接评估其重现率。根据间接的地质和古地震估算,单个断层上的强震发生频率似乎比古登堡-里希特定律预期的要高。这种估计是所谓特征地震假说的基础。在许多情况下,根据现代地震目录数据构建的单个断层的震级-频率分布形式也支持这一假设。同时,影响震级-频率分布形式的一个重要因素是选择构建分布的空间域。本文研究了这一因素的影响,并确定了古腾堡-里希特定律适用于估算强震复发的条件。
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来源期刊
Izvestiya, Physics of the Solid Earth
Izvestiya, Physics of the Solid Earth 地学-地球化学与地球物理
CiteScore
1.60
自引率
30.00%
发文量
60
审稿时长
6-12 weeks
期刊介绍: Izvestiya, Physics of the Solid Earth is an international peer reviewed journal that publishes results of original theoretical and experimental research in relevant areas of the physics of the Earth''s interior and applied geophysics. The journal welcomes manuscripts from all countries in the English or Russian language.
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