Vallianatos, F;
Tzanis, A;
(1999)
On possible scaling laws between electric earthquake precursors (EEP) and earthquake magnitude.
Geophysical Research Letters
, 26
(13)
2013  2016.
10.1029/1999GL900406.

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Abstract
We assume, without reference to any particular electrification mechanism, that a preseismic, time dependent polarization appears in a number of spherical volumes distributed in some earthquake preparation zone embedded in a half space of constant resistivity. We estimate the resulting transient electric and magnetic fields in the quasistatic approximation. On assuming that the number of polarized spheres N is scaling with their radii I as N proportional to l/l(D), we show that at some distance r from the zone, the electric field and the magnitude of the earthquake are related as LogE=alpha M+C, where alpha=(3D)/2 and similarly for the magnetic field. Fragmentation experiments and theoretical simulations indicate that 2.2 less than or equal to D less than or equal to 2.6, yielding 0.4>alpha>0.2. The lower fractal dimensions correspond to the case of dynamic crack propagation. Letting D approximate to 2.3, yields alpha approximate to 0.35 which is comparable to the experimental value of 0.35 given by Varotsos and Alexopoulos, (1984) on the basis of a few earthquake sequences in Greece. This indicates that electric and magnetic earthquake precursors may obey scaling laws that are direct consequence of the fractal distribution of their generators and also implies that transient precursors may result from microfracturing and fragmentation processes in the earthquake preparation zone.
Type:  Article 

Title:  On possible scaling laws between electric earthquake precursors (EEP) and earthquake magnitude 
Open access status:  An open access version is available from UCL Discovery 
DOI:  10.1029/1999GL900406 
Publisher version:  http://dx.doi.org/10.1029/1999GL900406 
Language:  English 
Additional information:  Copyright 1999 by the American Geophysical Union 
Keywords:  Signals 
UCL classification:  UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Inst for Risk and Disaster Reduction 
URI:  http://discovery.ucl.ac.uk/id/eprint/132801 
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