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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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NPG | Articles | Volume 25, issue 1
Nonlin. Processes Geophys., 25, 241–250, 2018
https://doi.org/10.5194/npg-25-241-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Nonlin. Processes Geophys., 25, 241–250, 2018
https://doi.org/10.5194/npg-25-241-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

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
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AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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AR: Author's response | RR: Referee report | ED: Editor decision
AR by Arnaud Mignan on behalf of the Authors (05 Dec 2017)  Author's response    Manuscript
ED: Referee Nomination & Report Request started (02 Jan 2018) by Ilya Zaliapin
ED: Publish subject to minor revisions (review by editor) (21 Feb 2018) by Ilya Zaliapin
AR by Anna Wenzel on behalf of the Authors (23 Feb 2018)  Author's response
ED: Publish subject to minor revisions (review by editor) (26 Feb 2018) by Ilya Zaliapin
AR by Svenja Lange on behalf of the Authors (27 Feb 2018)  Author's response
ED: Publish subject to technical corrections (28 Feb 2018) by Ilya Zaliapin
Publications Copernicus
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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.
The Utsu productivity law, one of the main relationships in seismicity statistics, gives the...
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