Nonlinear Processes in Geophysics
Nonlinear Processes in Geophysics
NPG
Articles | Volume 25, issue 1
Articles | Volume 25, issue 1
https://doi.org/10.5194/npg-25-241-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-25-241-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 25, issue 1
Research article
 | 
29 Mar 2018
Research article |  | 29 Mar 2018

Utsu aftershock productivity law explained from geometric operations on the permanent static stress field of mainshocks

Arnaud Mignan

Viewed

Total article views: 2,880 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
1,688 1,018 174 2,880 151 135
  • HTML: 1,688
  • PDF: 1,018
  • XML: 174
  • Total: 2,880
  • BibTeX: 151
  • EndNote: 135
Views and downloads (calculated since 18 Jul 2017)
Cumulative views and downloads (calculated since 18 Jul 2017)

Viewed (geographical distribution)

Total article views: 2,880 (including HTML, PDF, and XML) Thereof 2,671 with geography defined and 209 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 

Cited

Latest update: 14 Dec 2024
Download
Short summary
The Utsu productivity law, one of the main relationships in seismicity statistics, gives the average number of aftershocks produced by a mainshock of a given magnitude. I demonstrate that the law can be formulated in the solid seismicity theory, where it is parameterized in terms of aftershock density within a geometrical solid, constrained by the mainshock size. This suggests that aftershocks can be studied by applying simple rules of analytic geometry on a static stress field.
Read more