Multi-scale seismicity model for seismic risk

For a general use of the frequency-magnitude (FM) relation in seismic risk assessment, we formulate a multi-scale approach that relies on the hypothesis that only the ensemble of events that are geometrically small, compared with the elements of the seismotectonic regionalization, can be described by a log-linear FM relation. It follows that the seismic zonation must be performed at several scales, depending upon the self-similarity conditions of the seismic events and the linearity of the log FM relation, in the magnitude range of interest. The analysis of worldwide seismicity, using the Harvard catalog, where the seismic moment is recorded as the earthquake size, corroborates the idea that a single FM relation is not universally applicable. The multi-scale model of the FM relation is tested in the Italian region.

[1]  V. Pisarenko,et al.  Statistical estimation of seismic hazard parameters: Maximum possible magnitude and related parameters , 1996, Bulletin of the Seismological Society of America.

[2]  Javier F. Pacheco,et al.  Changes in frequency–size relationship from small to large earthquakes , 1992, Nature.

[3]  G. Molchan,et al.  Aftershock identification: methods and new approaches , 1992 .

[4]  Yan Y. Kagan,et al.  Seismic moment‐frequency relation for shallow earthquakes: Regional comparison , 1997 .

[5]  P. A. P. Moran,et al.  An introduction to probability theory , 1968 .

[6]  Corey B. Hart,et al.  Self-organized Criticality in Bat Au , 1998 .

[7]  C. Cornell.  Engineering seismic risk analysis , 1968 .

[8]  P. Bak,et al.  Self-organized criticality. , 1988, Physical review. A, General physics.

[9]  David D. Jackson,et al.  Seismic hazards in southern California: probable earthquakes, 1994 to 2024 , 1996 .

[10]  Keiiti Aki,et al.  Magnitude‐frequency relation for small earthquakes: A clue to the origin of ƒmax of large earthquakes , 1987 .

[11]  Yan Y. Kagan,et al.  Seismic moment distribution , 1991 .

[12]  Ian G. Main,et al.  EARTHQUAKES AS CRITICAL PHENOMENA - IMPLICATIONS FOR PROBABILISTIC SEISMIC HAZARD ANALYSIS , 1995 .

[13]  P. Bak,et al.  Earthquakes as a self‐organized critical phenomenon , 1989 .

[14]  Barbara Romanowicz,et al.  Strike‐slip earthquakes on quasi‐vertical transcurrent faults: Inferences for general scaling relations , 1992 .

[15]  Yan Y. Kagan,et al.  Comment on "The Gutenberg - Richter or characteristic earthquake distribution, which is it?" by S , 1996 .

[16]  D. P. Schwartz,et al.  Fault behavior and characteristic earthquakes: Examples from the Wasatch and San Andreas Fault Zones , 1984 .

[17]  G. Molchan,et al.  Seismicity and Principal Seismic Effects , 1970 .

[18]  Contributions to the Theory of Estimation from Grouped and Partially Grouped Samples. , 1963 .

[19]  Yan Y. Kagan,et al.  Observational evidence for earthquakes as a nonlinear dynamic process , 1994 .

[20]  Barbara Romanowicz,et al.  On the variation of b-values with earthquake size , 1994 .

[21]  D. Turcotte.  Chaos, fractals, nonlinear phenomena in Earth sciences , 1995 .

[22]  Douglas A. Wiens,et al.  Preface The flinn-engdahl regionalisation scheme: The 1995 revision , 1996 .

[23]  K. Aki.  17. Maximum Likelihood Estimate of b in the Formula logN=a-bM and its Confidence Limits , 1965 .

[24]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .

[25]  G. Woo.  Kernel estimation methods for seismic hazard area source modeling , 1996, Bulletin of the Seismological Society of America.

[26]  Douglas A. Wiens,et al.  The Flinn-Engdahl Regionalisation Scheme: The 1995 revision , 1996 .

[27]  Steven G. Wesnousky,et al.  The Gutenberg-Richter or characteristic earthquake distribution, which is it? , 1994 .

[28]  J. Rundle.  Magnitude-frequency relations for earthquakes using a statistical mechanical approach , 1993 .