F. Lahaie et Jr. Grasso, A FLUID-ROCK INTERACTION CELLULAR-AUTOMATON OF VOLCANO MECHANICS - APPLICATION TO THE PITON DE LA FOURNAISE, J GEO R-SOL, 103(B5), 1998, pp. 9637-9649
We developed a cellular automata model of fluid circulation within a r
ock matrix to test whether considering a volcano as a complex system h
elps understand the observed eruptive and seismicity patterns of the P
iton de la Fournaise (PF) volcano. In this model; fluid and rock cells
interact through locally defined rules, including a steady increase o
f pressure, a threshold dynamics, a fluid redistribution algorithm, an
d an energy dissipation process. Comparison of the model results and o
bservations for more than 40 simulations provides information on the m
echanics of the PF volcano and basaltic volcanoes in general. First, w
e demonstrate that the multiple lenses magma storage model for the sum
mit reservoir of basaltic volcanoes is consistent with the PF 1920-199
2 eruptive pattern, proposing an alternative to the macrochamber model
. Second, we show that the great number of interactions between magma
storage lenses in a critical state may work as a nonlinear filter, mod
ifying a possible uniform increase of pressure in the input, induced b
y deep magma supply and gas exsolution during crystallization, into a
nonlinear fluid flow emergence in time and size, both unpredictable an
d organized in nonrandom scaling statistics. The fluid-rock cellular a
utomaton allows us to explore scales ranging from global Earth mantle
to porous rock matrix, thus rationalizing the power law volume distrib
ution of total eruptions on the Earth surface [Me Clelland et al., 198
9] and the hierarchical organization that is reported for many types o
f fluid-induced seismicity [Grasso, 1993; Miller et at, 1996], respect
ively.