A nonextensive modification of the Gutenberg-Richter law: q-stretched exponential form

被引：30

作者：

Darooneh, Amir H. ^{[1
]}

Mehri, Ali ^{[1
]}

机构：

[1] Zanjan Univ, Dept Phys, Zanjan, Iran

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2010年 / 389卷 / 03期

关键词：

Earthquakes; Gutenberg-Richter law; Nonextensive statistical mechanics; SUCCESSIVE EARTHQUAKES; STATISTICS; INTERVAL; SYSTEMS;

D O I：

10.1016/j.physa.2009.10.006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the cumulative distribution for the magnitude of earthquakes in the context of nonextensive statistical mechanics. A new modification of the Gutenberg-Richter (GR) law is introduced. We use seismic data sets which were recorded in two different regions, Iran and California, to Compute the cumulative distribution of the magnitudes. The empirical data are fitted extremely well by our suggested expression for the modified GR law over the whole range of magnitudes. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：509 / 514

页数：6

共 44 条

[21] The Limits of Applicability of the Gutenberg-Richter Law in the Problems of Seismic Hazard and Risk Assessment
Krushelnitskii, K. V.
Shebalin, P. N.
Vorobieva, I. A.
Selyutskaya, O. V.
Antipova, A. O.
IZVESTIYA-PHYSICS OF THE SOLID EARTH, 2024, 60 (05) : 823 - 835
[22] No Significant Effect of Coulomb Stress on the Gutenberg-Richter Law after the Landers Earthquake
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[23] The gutenberg-richter law for earthquakes in air pollution episodes: A case study for Athens, Greece
Efstathiou, Maria
Tzanis, Chris
Varotsos, Costas
Deligiorgi, Despina
ACTA GEOPHYSICA, 2012, 60 (01) : 280 - 290
[24] Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes
Jagla, E. A.
PHYSICAL REVIEW LETTERS, 2013, 111 (23)
[25] A plausible explanation of the b-value in the Gutenberg-Richter law from first Principles
Varotsos, PA
Sarlis, NV
Skordas, ES
Tanaka, H
PROCEEDINGS OF THE JAPAN ACADEMY SERIES B-PHYSICAL AND BIOLOGICAL SCIENCES, 2004, 80 (09): : 429 - 434
[26] EFFECTS OF MAGNITUDE UNCERTAINTIES ON ESTIMATING THE PARAMETERS IN THE GUTENBERG-RICHTER FREQUENCY-MAGNITUDE LAW
TINTI, S
MULARGIA, F
BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA, 1985, 75 (06) : 1681 - 1697
[27] The gutenberg-richter law for earthquakes in air pollution episodes: A case study for Athens, Greece
Maria Efstathiou
Chris Tzanis
Costas Varotsos
Despina Deligiorgi
Acta Geophysica, 2012, 60 : 280 - 290
[28] Analogy of scaling law for heterogeneous interfacial fracture to explain the Gutenberg-Richter formula for earthquakes
Du, Wei
Zhao, Xiaohua
Hou, Huiming
Fu, Jinping
Su, Jianxin
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2022, 2022 (11):
[29] Converting Magnitudes Based on the Temporal Stability of a- and b-Values in the Gutenberg-Richter Law
Zuniga, F. R.
Figueroa-Soto, A.
BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA, 2012, 102 (05) : 2116 - 2127
[30] The Precursory Meanings of the Deviation of the Magnitude-Frequency Distribution of Earthquakes from the Gutenberg-Richter Law
Lu Peng~ 1)
Earthquake Research in China, 2006, (04) : 426 - 434

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