Quantification of the fracturing of the slab using a fractal approach

Details Quantification of the fracturing of the slab using a fractal approach Quantification of the fracturing of the slab using a fractal approach

Aug 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989e%26psl..94...97d&link_type=abstract

Earth and Planetary Science Letters, Volume 94, Issue 1-2, p. 97-108.

Computer Science

3

Scientific paper

According to previous studies, the number of earthquakes associated to a fault length greater than L is given by N ~ L-3b/c, where b and c are the slopes of Gutemberg's law and seismic moment-magnitude relationship, respectively. The quantification of the complexity of a fault is then given by a fractal dimension D = 3b/c. Application of such an analysis to the seismicity of subduction zones between 100 and 700 km depth provides a good description of the various earthquake groups, the fracturing, and the different mechanisms of failure along the slab. Our results show that the branching model of fracturing is generally valid except in subduction zones which present anomalies such as: (1) lateral distribution of stress and strain related to contortion of the slab or to curvature of the trench axis (e.g. eastern Indonesia), and (2) deep distortion of a slab which is anchored at depth (e.g. Tonga). Our results are in good agreement with previous studies which have shown that earthquakes at depths greater than 70-100 km cannot be attributed to the shear displacement between the descending slab and the adjacent mantle but rather indicate deformation within the slab, and that aftershocks of deep earthquakes do not occur preferentially on nodal planes of focal mechanisms of the main shocks.

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