Extrusion cycles of dome-forming eruptions

We investigated the dynamics of magma ascent along a dome-forming conduit coupled with the formation and extrusion of a degassed plug at the top by a two-phase flow model. We treated the magma mixture as a liquid continuum with dispersed gas bubbles and crystals in thermodynamic equilibrium with the melt. A modified Poiseulle form of the viscous term for fully developed laminar flow in an elliptic conduit was assumed. During ascent, magma pressure decreases and water vapor exsolves and partially degasses from the melt as the melt simultaneously crystallizes, causing changes in mixture density and viscosity, which may eventually lead to the formation of a degassed plug sealing the conduit. The numerical model DOMEFLOW (de’ Michieli Vitturi et al., EPSL 2010) has been applied to dome-building eruptions using conditions approximately appropriate for the Soufrière Hills volcano, Montserrat, which has led to a better understanding of the role of a plug on eruption periodicity. Two mechanisms, which have been proposed to cause periodicity, have been implemented in the model and their corresponding timescales explored. The first test applies a stick-slip model in which the plug is considered as solid and static/dynamic friction, as described in Iverson et al. [Nature 2006, 444, 439-43], replaces the viscous forces in the momentum equation. This mechanism yields cycle timescales of seconds to tens of seconds with values generally depending on assumed friction coefficients. Although not all constants and parameters have been explored for this model, we suggest that a stick-slip mechanism of this type cannot explain the cycles of extrusion and explosion typically observed at Montserrat (timescales of hours). The second mechanism does not consider friction but allows enhanced permeable gas loss in the shallow conduit, possibly due to connected porosity or micro- or macro-scale fractures. Enhanced permeable gas loss may lead to formation of a dense and rheologically stiffened magma plug with high viscosity at the top of the conduit which can resist extrusion and prevent steady conduit flow. The plug produces high pressure in the upper conduit, which can cause edifice inflation. Eventually the pressure increases sufficiently to drive the degassed plug from the conduit, overcoming dome overburden, plug weight, and viscous forces. Extrusion and escape of pressurized gas result in a relaxation of pressure in the upper conduit and allow edifice deflation. In general, cycle period decreases with increasing magma supply rate until a threshold is reached, at which point periodicity disappears and extrusion rate becomes steady. Results are compared to well-documented cyclic phases of the ongoing eruption of the Soufrière Hills volcano, Montserrat, in order to demonstrate the appropriateness of this second formulation.