Open AccessOn the spatial scaling of seismicity rate
Author(s) -
Molchan G.,
Kronrod T.
Publication year - 2005
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2005.02693.x
Subject(s) - induced seismicity , scaling , magnitude (astronomy) , exponent , geology , seismology , scale (ratio) , spatial ecology , statistical physics , mathematics , physics , geometry , ecology , biology , linguistics , philosophy , quantum mechanics , astronomy
SUMMARY Scaling analysis of seismicity in the space–time–magnitude domain very often starts from the relation λ( m , L ) = a L 10 − bm L c for the rate of seismic events of magnitude M > m in an area of size L . There is some evidence in favour of multifractality being present in seismicity. In this case, the optimal choice of the scale exponent c is not unique. It is shown how different values of c are related to different types of spatial averaging applied to λ( m , L ) and what are the values of c for which the distributions of a L best agree for small L . Theoretical analysis is tested using the California data.