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Precursory phenomena associated with large avalanches in the long‐range connective sandpile model II: An implication to the relation between the b ‐value and the Hurst exponent in seismicity
Author(s) -
Lee YaTing,
Chen Chienchih,
Hasumi Tomohiro,
Hsu HanLun
Publication year - 2009
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2008gl036548
Subject(s) - hurst exponent , exponent , abelian sandpile model , statistical physics , physics , power law , range (aeronautics) , induced seismicity , geology , mathematics , statistics , seismology , materials science , philosophy , linguistics , composite material
We analyze the Hurst exponent H and a power‐law exponent B obtained from frequency‐size distributions of avalanche events in the long‐range connective sandpile (LRCS) model and study the relation between those two exponents. The LRCS model is introduced by considering the random distant connection between two separated cells. We find that the B ‐values typically reduce prior to large avalanches while the H ‐values increase. Both parameters appear precursory phenomena prior to large avalanche events. Most importantly, we show that the LRCS model can demonstrate an interesting negative correlation between the B ‐ and H ‐values, which has been frequently implied in observations of seismicity and firstly verified in our present simulations.