一维Burridge-Knopoff模型中地震、金属微震和雪崩之间的统计类比

IF 0.9 4区 地球科学 Q4 GEOCHEMISTRY & GEOPHYSICS
Geofizika Pub Date : 2023-06-30 DOI:10.15233/gfz.2023.40.4
András Kuki, S. Lipcsei, I. Gere, F. Járai-Szabó, Attila Gergely, Dávid Ugi, P. D. Ispánovity, Z. Dankházi, I. Groma, Z. Néda
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引用次数: 0

摘要

在雪崩统计的普遍性和有趣的类比揭示了三个物理系统定义在很大程度上不同的长度和能量尺度。本文从相似的统计学角度研究了构造尺度动力学地震、金属晶体滑移面微尺度地震和一维室尺度弹簧块型Burridge-Knopoff模型。在这三种系统中证明了古腾堡-里希特定律对雪崩中能量耗散概率密度的有效性。通过对三个不同地震带的数据进行分析,并对不同变形条件下的锌试样进行声学检测,揭示了所涉及的标度指数的普适性。通过适当的参数选择,一维Burridge-Knopoff模型能够再现相同的标度规律。震级超过一定阈值的地震和微地震的重复次数再次呈现出相似的分布和惊人的数量相似性。然而,一维Burridge-Knopoff模型不能解释在这些统计数据中观察到的相关性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Statistical analogies between earthquakes, micro-quakes in metals and avalanches in the 1D Burridge-Knopoff model
Universalities and intriguing analogies in the statistics of avalanches are revealed for three physical systems defined on largely different length and energy scales. Earthquakes induced by tectonic scale dynamics, micro-scale level quakes observed from slipping crystallographic planes in metals and a one-dimensional, room-scale spring-block type Burridge-Knopoff model is studied from similar statistical viewpoints. The validity of the Gutenberg-Richter law for the probability density of the energies dissipated in the avalanches is proven for all three systems. By analysing data for three different seismic zones and performing acoustic detection for different Zn samples under deformation, universality for the involved scaling exponent is revealed. With proper parameter choices the 1D Burridge-Knopoff model is able to reproduce the same scaling law. The recurrence times of earthquakes and micro-quakes with magnitudes above a given threshold present again similar distributions and striking quantitative similarities. However, the 1D Burridge-Knopoff model cannot account for the correlations observed in such statistics.
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来源期刊
Geofizika
Geofizika 地学-地球化学与地球物理
CiteScore
1.60
自引率
0.00%
发文量
17
审稿时长
>12 weeks
期刊介绍: The Geofizika journal succeeds the Papers series (Radovi), which has been published since 1923 at the Geophysical Institute in Zagreb (current the Department of Geophysics, Faculty of Science, University of Zagreb). Geofizika publishes contributions dealing with physics of the atmosphere, the sea and the Earth''s interior.
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