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Analysis of aftershock sequences in South and Southeastern Spain
Institution:1. Département Etudes et Surveillance Sismique, CRAAG, BP 63 Bouzareah, 16340 Algiers, Algeria;2. Department of Physics, University of Jaén, Campus de Las Lagunillas, Building A3, 23071 Jaen, Spain;3. Earthquake Research Institute, University of Tokyo, 1-1-1 Yayoi, Bunkyo-ku, Tokyo 113-0032, Japan;1. Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, PR China;2. State Key Laboratory of Cognitive Neuroscience and Learning & IDG/McGovern Institute for Brain Research, Beijing Normal University, Beijing 100875, PR China;3. BABRI Centre, Beijing Normal University, Beijing 100875, PR China;4. Beijing Key Lab of Traffic Data Analysis and Mining, School of Computer and Information Technology, Beijing Jiaotong University, Beijing 100044, PR China;1. National and Kapodistrian University of Athens, Faculty of Geology and Geoenvironment, Department of Geophysics and Geothermy, Greece;2. Laboratory of Geophysics and Seismology, Technological Educational Institute of Crete, Chania, GR 73133 Crete, Greece;1. Baylor University Medical Center, Baylor Heart and Vascular Institute, Baylor Jack and Jane Hamilton Heart and Vascular Hospital, 621 North Hall Street, #H030, Dallas, TX 75226, USA;2. The Heart Hospital, 1100 Allied Drive, Plano, TX 75093, USA;1. Dynamical Systems and Risk Laboratory, Civil and Environmental Engineering, School of Engineering, University College Cork, Ireland;2. Communication and Signal Processing Research Group, Department of Electrical and Electronic Engineering, Imperial College, London, UK;3. Civil and Architectural Engineering, The Royal Institute of Technology (KTH) Stockholm, Sweden;4. Department of Civil Engineering, Indian Institute of Science, Bangalore, Karnataka, India;1. Hebei Hongshan National Observatory on Thick Sediments and Seismic Hazards, Beijing 100871, China;2. School of Earth and Space Sciences, Peking University, Beijing 100871, China;3. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China
Abstract:A probabilistic modeling is used to analyze the spatio-temporal behavior of eleven aftershock sequences occurred in South and Southeastern Spain. This study focuses on the analysis of two seismicity parameters: the b-value of the frequency-magnitude distribution, and the p-value, explaining the temporal decay rate of aftershocks. The estimated b values range between 0.77 ± 0.05 and 1.18 ± 0.10 close to the typical b-values of the aftershock frequency-magnitude relationship b  1.0. The estimated p-values range between 0.75 ± 0.03 and 1.43 ± 0.10 showing broad regimes of the temporal decay of aftershocks. The modified Bath’s law used to analyze the energy partitioning, suggests that a large fraction of the accumulated energy is released in the mainshock and relatively small fraction of energy is released during aftershock sequence, for example 80% of the total energy is released during the Mula 1999 mainshock, 88% during Bullas 2002 mainshock and 87% during La Paca 2005 mainshock. The fractal dimension D2 is estimated using the correlation integral, and then used to derive the slip ratio, as the ratio of the slip occurred on primary fault segment to the total slip. For example, we obtained a slip ratio equal to 71% for the Mula 1999 aftershock sequence, 61% for the Bullas 2002 event, 58% for the La Paca 2005 aftershock, 50% for the Lorca 2011 sequence and 63% for the sequence triggered by the Gador 2002 mainshock.Finally, the correlations between the fractal dimension, the b-value and the p-value is analyzed, and the Aki’s relation D = 3b/c is discussed as well.
Keywords:Aftershock sequence  Gutenberg–Richter relationship  Modified Omori law  Modified Bath’s law  Fractal dimension  Southern Spain
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