03 Aug 2022
03 Aug 2022
Status: a revised version of this preprint is currently under review for the journal NHESS.

On the calculus of smoothing kernels for seismic parameter spatial mapping: methodology and examples

David Montiel-López1, Sergio Molina1,2, Juan José Galiana-Merino3,4, and Igor Gómez1,2 David Montiel-López et al.
  • 1Multidisciplinary Institute for Environmental Studies (IMEM), University of Alicante, Crta. San Vicente del Raspeig, s/n, 03080 Alicante, Spain
  • 2Department of Applied Physics, University of Alicante, Crta. San Vicente del Raspeig, s/n, 03080 Alicante, Spain
  • 3University Institute of Physics Applied to Sciences and Technologies, University of Alicante, Crta. San Vicente del Raspeig, s/n, 03080 Alicante, Spain
  • 4Department of Physics, Systems Engineering and Signal Theory, University of Alicante, Crta. San Vicente del Raspeig, s/n, 03080 Alicante, Spain

Abstract. Spatial mapping is one of the most useful methods to display information about the seismic parameters of a certain area. As in b-value times series, there is a certain arbitrariness regarding the function selected as smoothing kernel (which plays the same role as the window size in time series). We propose a new method for the calculus of the smoothing kernel as well as its parameters. Instead of using the spatial cell–event distance we study the distance between events (inter-event distance) in order to calculate the smoothing function, as this distance distribution gives information about the event distribution and the seismic sources. We examine three different scenarios: two shallow seismicity settings and one deep seismicity catalogue. The first one, Italy, allows to calibrate and showcase the method. The other two catalogues: Lorca (Spain) and the Vrancea county (Romania) are examples of different function fits and data treatment. For these two scenarios, the prior-earthquake and after-earthquake b-value maps depict tectonic stress changes related to the seismic settings (stress relief in Lorca and stress build-up zone shifting in Vrancea). This technique could enable operational earthquake forecasting (OEF) and tectonic source profiling given enough data in the time-span considered.

David Montiel-López et al.

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on nhess-2022-191', Anonymous Referee #1, 16 Aug 2022
    • AC1: 'Reply on RC1', David Montiel, 27 Aug 2022
  • RC2: 'Comment on nhess-2022-191', Anonymous Referee #2, 31 Aug 2022
    • AC2: 'Reply on RC2', David Montiel, 13 Sep 2022

David Montiel-López et al.

David Montiel-López et al.


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Short summary
One of the most effective ways to describe the seismicity of a region is to map the b-value parameter of the Gutenberg-Richter law. This research proposes the study of the inter-event distance distribution to define the smoothing kernel that will control the influence of the data. The results of this methodology depict tectonic stress changes before and after intense earthquakes happen, so it could enable operation earthquake forecasting (OEF) and tectonic source profiling.