In this study, we compare the scaling of waiting time distributions in
Northern Chile Subduction context. For this, we analized 7-yr high
spatial resolution and low complete- ness magnitude IPOC seismic catalog
and 45-yr USGS catalog. A unified moment-epicentral area linear
dimension-time scaling relation is empirically evaluated by calculating
wait- ing times for different ranges of magnitude and epicentral area
linear dimension and es- timating associated scaling coefficients, β
analog to b-value and γ, the correlation frac- tal dimension. We find a
scaling function that can be characterized with 3 distinct re- gions,
regions whose behaviour depend on whether seismicity is in the coastal
area or from intermediate depth. Moreover, high resolution localizations
from IPOC catalog al- lows us to further observe differences in coastal
seismicity, with lower plane seismicity behaviour alike intermediate
depth. Thus, waiting time distribution primarily depends on whether
seismicity is associated with subduction interface interaction or not,
having respectively high/low correlated behaviour in the short scale
region, non-exponential/exponential decay in the transition middle
region and in all cases long-term clustering with a slower than
exponential decay in the long scale.
In the South Andes western edge, a very active seismic contact, with
earthquakes up to magnitude $9.5$ and ca.
$4000\thinspace\textnormal{km}$
extension threatens cities and very large populations. The existence of
modern seismological networks along the contact allowed the observation
of unprecedented earthquake cycle characteristics, which can improve our
ability to estimate earthquake hazard, a main objective of seismology.
Using dimensional and similarity analysis techniques, we show precise
mechanical conditions under which the earthquake generation process
unfolds, and derive a set of scaling equations linking renormalized
variables. Later on, we test our theoretical results using a curated
earthquake point-catalog by using gridding, box-counting, statistical
bootstrap and fixed-point iteration collapse techniques. We found
non-trivial scaling laws valid across multiple orders of magnitude
capable of describing a complex interplay between renormalized
earthquake occurrence and renormalized moment release rate. We discuss
finite-strain and seismic-moment release-rate conditions; declustering,
foreshock, mainshock, aftershock notions; cutoff magnitudes, earthquake
hazard implications and a possible large-scale tectonic energy transfer
mechanism.
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