Long-range connective sandpile models and its implication to seismicity evolution |
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Authors: | Chien-chih Chen Ling-Yun Chiao Ya-Ting Lee Hui-wen Cheng Yih-Min Wu |
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Institution: | aDepartment of Earth Sciences and Graduate Institute of Geophysics, National Central University, Jhongli, Taiwan 320, ROC;bInstitute of Oceanography, National Taiwan University, Taipei, Taiwan 106, ROC;cDepartment of Geosciences, National Taiwan University, Taipei, Taiwan 106, ROC |
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Abstract: | We propose a new variant of the sandpile model, the long-range connective sandpile model, by means of introducing randomly internal connections between two separated distant cells. The long-range connective sandpile model demonstrates various self-organized critical states with different scaling exponents in the power-law frequency-size distributions. We found that a sandpile with higher degree of randomly internal long-range connections is characterized by a higher value of the scaling exponent for the distribution, whereas the nearest neighbor sandpile is possessed of a lower scaling exponent. Our numerical experiments on the long-range connective sandpile models imply that higher degree of random long-range connections makes the earthquake fault system more relaxant that releases accumulated energy more easily and produces fewer catastrophic events, whereas lower degree of long-range connections possibly caused by fracture healing very likely motivates accelerating seismicity of moderate events. |
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Keywords: | Self-organized criticality Sandpile model Long-range connection Seismicity b values |
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