Hypocenter interval statistics between successive earthquakes in the two-dimensional Burridge–Knopoff model

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• 作者：Tomohiro Hasumi
• 关键词：Hypocenter statistics ; Earthquakes ; Burridge– ; Knopoff model ; ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TVG-4TRCYD4-1&_mathId=mml47&_user=10&_cdi=5534&_pii=S0378437108008613&_r
• 刊名：Physica A
• 出版年：2009
• 出版时间：15 February 2009
• 年：2009
• 卷：388
• 期：4
• 页码：477-482
• 全文大小：807 K

文摘

We study statistical properties of spatial distances between successive earthquakes, the so-called hypocenter intervals, produced by a two-dimensional (2D) Burridge–Knopoff model involving stick-slip behavior. It is found that cumulative distributions of hypocenter intervals can be described by the q-exponential distributions with q<1, which is also observed in nature. The statistics depend on a friction and stiffness parameters characterizing the model and a threshold of magnitude. The conjecture which states that q_t+q_r2, where q_t and q_r are an entropy index of time intervals and spatial intervals, respectively, can be reproduced semi-quantitatively. It is concluded that we provide a new perspective on the Burridge–Knopoff model which addresses that the model can be recognized as a realistic one in view of the reproduction of the spatio-temporal interval statistics of earthquakes on the basis of nonextensive statistical mechanics.