Jr. Grasso et P. Bachelery, HIERARCHICAL ORGANIZATION AS A DIAGNOSTIC-APPROACH TO VOLCANO MECHANICS - VALIDATION ON PITON DE LA FOURNAISE, Geophysical research letters, 22(21), 1995, pp. 2897-2900
Self-organized systems are often used to describe natural phenomena wh
ere power laws and scale invariant geometry are observed. The Piton de
la Fournaise volcano shows power-law behavior in many aspects. These
include the temporal distribution of eruptions, the frequency-size dis
tributions of induced earthquakes, dikes, fissures, lava flows and int
erflow periods, all evidence of self-similarity over a finite scale ra
nge. We show that the bounds to scale-invariance can be used to derive
geomechanical constraints on both the volcano structure and the volca
no mechanics. We ascertain that the present magma bodies are multi-len
s reservoirs in a quasi-eruptive condition, i.e. a marginally critical
state. The scaling organization of dynamic fluid-induced observables
on the volcano, such as fluid induced earthquakes, dikes and surface f
issures, appears to be controlled by underlying static hierarchical st
ructure (geology) similar to that proposed for fluid circulations in h
uman physiology. The emergence of saturation lengths for the scalable
volcanic observable argues for the finite scalability of complex natur
ally self-organized critical systems, including volcano dynamics.