M. Dragoni et A. Tallarico, THE EFFECT OF CRYSTALLIZATION ON THE RHEOLOGY AND DYNAMICS OF LAVA FLOWS, Journal of volcanology and geothermal research, 59(3), 1994, pp. 241-252
The dynamics of a lava flow is studied by a two-dimensional model desc
ribing a viscous fluid with Bingham rheology, flowing down a slope. Th
e temperature in the flow is calculated assuming that heat is transfer
red through the plug by conduction and is lost by radiation to the atm
osphere at the top of the flow. Taken into account is that the increas
ing crystallization takes place in the flow as a consequence of coolin
g. The lava viscosity and yield stress are expressed as a function of
crystallization degree as well as of temperature: in particular it is
assumed that yield stress reaches a maximum value above the solidus te
mperature, according to experimental data. Dynamical variables, such a
s velocity and thickness of the flow, are calculated for different val
ues of the maximum crystallization degree and the flow rate. The model
shows how the lava flow dynamics is affected by cooling and crystalli
zation. The cooling of the flow is controlled by the increase of yield
stress, which produces a thicker plug and makes the heat loss slower.
The increasing crystallization has two opposing effects on viscosity:
it produces an increase of viscosity, but at the same time produces a
n increase of yield stress and hence reduces the heat loss and keeps t
he internal temperature high. As a consequence, lava flows are signifi
cantly affected by the dependence of yield stress on temperature and s
carcely by the maximum crystallization degree.