Journal article

Publication year: 2008

Journal: Physical Review E

Volume number: 78

Issue number: 4

ISSN: 1539-3755

eISSN: 1550-2376

DOI Link: https://doi.org/10.1103/PhysRevE.78.041115

Publisher: American Physical Society

Abstract: 
In this paper we extend the branching aftershock sequence model to study the role of missing data at short times and small amplitudes after a mainshock. We apply this model, which contains three parameters characterizing the missing data, to the magnitude and temporal statistics of four aftershock sequences in California. We find that the observed time-dependent deviations of the frequency-magnitude scaling from the Gutenberg-Richter power law dependency can be described quantitatively by the model. We also show that, for the same set of parameters, the model is able to explain quantitatively the observed magnitude-dependent deviations of the temporal decay of aftershocks from Omori's law. In addition, we show that the same sets of data can also reproduce quite well the various functional forms of the probability density functions of the return times between consecutive events with magnitudes above a prescribed threshold, as well as the violation of scaling at short and intermediate time scales.

Harvard Citation style: Lennartz, S., Bunde, A. and Turcotte, D. (2008) Missing data in aftershock sequences: Explaining the deviations from scaling laws, PHYSICAL REVIEW E, 78(4), Article 041115. https://doi.org/10.1103/PhysRevE.78.041115

APA Citation style: Lennartz, S., Bunde, A., & Turcotte, D. (2008). Missing data in aftershock sequences: Explaining the deviations from scaling laws. PHYSICAL REVIEW E. 78(4), Article 041115. https://doi.org/10.1103/PhysRevE.78.041115