A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time
Abstract Using the order parameter of seismicity defined in natural time, we suggest a simple model for the explanation of Båth law, according to which a mainshock differs in magnitude from its largest aftershock by approximately 1.2 regardless of the mainshock magnitude. In addition, the validity o...
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Format: | Article |
Language: | English |
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KeAi Communications Co., Ltd.
2016-11-01
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Series: | Earthquake Science |
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Online Access: | http://link.springer.com/article/10.1007/s11589-016-0171-2 |
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author | Konstantina A. Papadopoulou Efthimios S. Skordas Nicholas V. Sarlis |
author_facet | Konstantina A. Papadopoulou Efthimios S. Skordas Nicholas V. Sarlis |
author_sort | Konstantina A. Papadopoulou |
collection | DOAJ |
description | Abstract Using the order parameter of seismicity defined in natural time, we suggest a simple model for the explanation of Båth law, according to which a mainshock differs in magnitude from its largest aftershock by approximately 1.2 regardless of the mainshock magnitude. In addition, the validity of Båth law is studied in the Global Centroid Moment Tensor catalogue by using two different aftershock definitions. It is found that the mean of this difference, when considering all the pairs mainshock-largest aftershock, does not markedly differ from 1.2 and the corresponding distributions do not depend on the mainshock’s magnitude threshold in a statistically significant manner. Finally, the analysis of the cumulative distribution functions provides evidence in favour of the proposed model. |
first_indexed | 2024-04-11T02:36:39Z |
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institution | Directory Open Access Journal |
issn | 1674-4519 1867-8777 |
language | English |
last_indexed | 2024-04-11T02:36:39Z |
publishDate | 2016-11-01 |
publisher | KeAi Communications Co., Ltd. |
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series | Earthquake Science |
spelling | doaj.art-5b36fbd55ce944c4be9240ccaf29b1fa2023-01-02T20:04:46ZengKeAi Communications Co., Ltd.Earthquake Science1674-45191867-87772016-11-0129631131910.1007/s11589-016-0171-2A tentative model for the explanation of Båth law using the order parameter of seismicity in natural timeKonstantina A. Papadopoulou0Efthimios S. Skordas1Nicholas V. Sarlis2Section of Solid State Physics, Department of Physics, School of Science, National and Kapodistrian University of AthensSection of Solid State Physics, Department of Physics, School of Science, National and Kapodistrian University of AthensSection of Solid State Physics, Department of Physics, School of Science, National and Kapodistrian University of AthensAbstract Using the order parameter of seismicity defined in natural time, we suggest a simple model for the explanation of Båth law, according to which a mainshock differs in magnitude from its largest aftershock by approximately 1.2 regardless of the mainshock magnitude. In addition, the validity of Båth law is studied in the Global Centroid Moment Tensor catalogue by using two different aftershock definitions. It is found that the mean of this difference, when considering all the pairs mainshock-largest aftershock, does not markedly differ from 1.2 and the corresponding distributions do not depend on the mainshock’s magnitude threshold in a statistically significant manner. Finally, the analysis of the cumulative distribution functions provides evidence in favour of the proposed model.http://link.springer.com/article/10.1007/s11589-016-0171-2Båth lawAftershocksOrder parameterNatural time |
spellingShingle | Konstantina A. Papadopoulou Efthimios S. Skordas Nicholas V. Sarlis A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time Earthquake Science Båth law Aftershocks Order parameter Natural time |
title | A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time |
title_full | A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time |
title_fullStr | A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time |
title_full_unstemmed | A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time |
title_short | A tentative model for the explanation of Båth law using the order parameter of seismicity in natural time |
title_sort | tentative model for the explanation of bath law using the order parameter of seismicity in natural time |
topic | Båth law Aftershocks Order parameter Natural time |
url | http://link.springer.com/article/10.1007/s11589-016-0171-2 |
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