EGU General Assembly 2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Topological properties of aftershock clusters in a viscoelastic model of quasi-brittle failure

Jordi Baro1,2, Joern Davidsen2, and Álvaro Corral3
Jordi Baro et al.
  • 1Centre de Recerca Matemàtica, Spain (
  • 2University of Calgary, Canada
  • 3Centre de Recerca Matemàtica, Spain

Material failure at different scales and processes can be modeled as an emergent feature in terms of avalanche dynamics in micromechanical systems. 
Event-event triggering -or aftershocks- is common in seismological catalogs and acoustic emission experiments [1] among other phenomena.
Stochastic branching and linear Hawkes processes are used to model the statistical properties of catalogs.  In the micromechanical approach, viscoelastic stress transfer and after-slip are among the proposed mechanism of aftershocks. Here we ask this simple question: 'Do aftershock sequences in micromechanical models agree with such epidemic branching paradigm?'

We introduce two fibrous models as prototypes of viscoelastic fracture [2] which (i) provides an analytical explanation to the acceleration of activity in absence of critical failure observed in acoustic emission experiments [3]; (ii) reproduce the typical spatio-temporal properties of triggering found in field catalogs, acoustic emission experiments; but (iii) display discrepancies with the branching topological properties predicted by stochastic models [4], probably due to physical constrains.

[1] J. Baró et al., Phys. Rev. Lett. 110 (8), 088702 (2013).
[2] J. Baró, J. Davidsen, Phys. Rev. E  97 (3), 033002 (2018).
[3] J. Baró, et al., Phys. Rev. Lett. 120 (24), 245501 (2018).
[4] S. Saichev, et al., Pure and App. Geoph. 162 (6), 1113-1134 (2005).

How to cite: Baro, J., Davidsen, J., and Corral, Á.: Topological properties of aftershock clusters in a viscoelastic model of quasi-brittle failure, EGU General Assembly 2020, Online, 4–8 May 2020, EGU2020-4948,, 2020


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