Geofizika, Vol. 40 No. 1, 2023.
Original scientific paper
https://doi.org/10.15233/gfz.2023.40.4
Statistical analogies between earthquakes, micro-quakes in metals and avalanches in the 1D Burridge-Knopoff model
András Kuki
; Physics Department, Babeş-Bolyai University, Cluj-Napoca, Romania
Sándor Lipcsei
; Department of Materials Physics, Eötvös Loránd University, Budapest, Hungary
István Gere
; Physics Department, Babeş-Bolyai University, Cluj-Napoca, Romania
Ferenc Járai-Szabó
; Physics Department, Babeş-Bolyai University, Cluj-Napoca, Romania
Attila Gergely
; Physics Department, Babeş-Bolyai University, Cluj-Napoca, Romania
Dávid Ugi
; Department of Materials Physics, Eötvös Loránd University, Budapest, Hungary
Péter Dusán Ispánovity
; Department of Materials Physics, Eötvös Loránd University, Budapest, Hungary
Zoltán Dankházi
; Department of Materials Physics, Eötvös Loránd University, Budapest, Hungary
István Groma
; Department of Materials Physics, Eötvös Loránd University, Budapest, Hungary
Zoltán Néda
; Physics Department, Babeş-Bolyai University, Cluj-Napoca, Romania
*
* Corresponding author.
Abstract
Universalities and intriguing analogies in the statistics of avalanches are revealed for three physical systems defined on largely different length and energy scales. Earthquakes induced by tectonic scale dynamics, micro-scale level quakes observed from slipping crystallographic planes in metals and a one-dimensional, room-scale spring-block type Burridge-Knopoff model is studied from similar statistical viewpoints. The validity of the Gutenberg-Richter law for the probability density of the energies dissipated in the avalanches is proven for all three systems. By analysing data for three different seismic zones and performing acoustic detection for different Zn samples under deformation, universality for the involved scaling exponent is revealed. With proper parameter choices the 1D Burridge-Knopoff model is able to reproduce the same scaling law. The recurrence times of earthquakes and micro-quakes with magnitudes above a given threshold present again similar distributions and striking quantitative similarities. However, the 1D Burridge-Knopoff model cannot account for the correlations observed in such statistics.
Keywords
Earthquakes; Micro-plasticity; Avalanches; Universalities; Scaling; Correlations; Burridge-Knopoff model
Hrčak ID:
308538
URI
Publication date:
31.7.2023.
Visits: 210 *