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统计地震学两条基本定律对压力的共同依赖。

Common dependence on stress for the two fundamental laws of statistical seismology.

作者信息

Narteau Clément, Byrdina Svetlana, Shebalin Peter, Schorlemmer Danijel

机构信息

Institut de Physique du Globe de Paris (UMR 7154, CNRS, Univ. P7), 4 Place Jussieu, 75252 Paris Cedex 05, France.

出版信息

Nature. 2009 Dec 3;462(7273):642-5. doi: 10.1038/nature08553.

DOI:10.1038/nature08553
PMID:19956258
Abstract

Two of the long-standing relationships of statistical seismology are power laws: the Gutenberg-Richter relation describing the earthquake frequency-magnitude distribution, and the Omori-Utsu law characterizing the temporal decay of aftershock rate following a main shock. Recently, the effect of stress on the slope (the b value) of the earthquake frequency-magnitude distribution was determined by investigations of the faulting-style dependence of the b value. In a similar manner, we study here aftershock sequences according to the faulting style of their main shocks. We show that the time delay before the onset of the power-law aftershock decay rate (the c value) is on average shorter for thrust main shocks than for normal fault earthquakes, taking intermediate values for strike-slip events. These similar dependences on the faulting style indicate that both of the fundamental power laws are governed by the state of stress. Focal mechanisms are known for only 2 per cent of aftershocks. Therefore, c and b values are independent estimates and can be used as new tools to infer the stress field, which remains difficult to measure directly.

摘要

统计地震学中两个长期存在的关系是幂律

描述地震频率 - 震级分布的古登堡 - 里希特关系,以及表征主震后余震率随时间衰减的大森 - 宇津定律。最近,通过对b值的断层类型依赖性研究,确定了应力对地震频率 - 震级分布斜率(b值)的影响。以类似的方式,我们在此根据主震的断层类型研究余震序列。我们表明,逆冲主震的幂律余震衰减率开始前的时间延迟(c值)平均比正断层地震短,走滑事件的时间延迟取中间值。这些对断层类型的相似依赖性表明,这两个基本幂律均受应力状态控制。仅2%的余震有震源机制信息。因此,c值和b值是独立的估计值,可作为推断应力场的新工具,而应力场直接测量仍很困难。

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引用本文的文献

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Stress Distribution and Variation Monitored by Microseismic Tracking on a Fractured Horizontal Well: A Case Study from the Qinshui Basin.基于微地震监测的裂缝性水平井应力分布与变化研究:以沁水盆地为例
ACS Omega. 2022 Apr 15;7(16):14363-14370. doi: 10.1021/acsomega.2c01356. eCollection 2022 Apr 26.
2
No Significant Effect of Coulomb Stress on the Gutenberg-Richter Law after the Landers Earthquake.兰德斯地震后库仑应力对古登堡-里希特定律无显著影响。
Sci Rep. 2020 Feb 19;10(1):2901. doi: 10.1038/s41598-020-59416-2.
3
Power law relations in earthquakes from microscopic to macroscopic scales.

本文引用的文献

1
Variations in earthquake-size distribution across different stress regimes.不同应力状态下地震规模分布的变化。
Nature. 2005 Sep 22;437(7058):539-42. doi: 10.1038/nature04094.
2
Earth science: microseismicity data forecast rupture area.地球科学:微震数据预测破裂区域。
Nature. 2005 Apr 28;434(7037):1086. doi: 10.1038/4341086a.
从微观到宏观尺度的地震幂律关系。
Sci Rep. 2019 Jul 24;9(1):10705. doi: 10.1038/s41598-019-46864-8.
4
Depth dependent stress revealed by aftershocks.深度相关的余震揭示的应力。
Nat Commun. 2017 Nov 6;8(1):1317. doi: 10.1038/s41467-017-01446-y.
5
Mechanical origin of aftershocks.余震的力学成因
Sci Rep. 2015 Oct 26;5:15560. doi: 10.1038/srep15560.
6
Common dependence on stress for the statistics of granular avalanches and earthquakes.颗粒崩塌和地震统计对压力的共同依赖。
Sci Rep. 2015 Jul 21;5:12280. doi: 10.1038/srep12280.