The Fate of Volatiles in Subaqueous Explosive Eruptions: An Analysis of Steam Condensation in the Water Column

Abstract:

A model has been developed to determine the theoretical limits of steam survival in a water column during a subaqueous explosive eruption. Understanding the role of steam dynamics in particle transport and the evolution of the thermal budget is critical to addressing the first order questions of subaqueous eruption mechanics. Ash transport in subaqueous eruptions is initially coupled to the fate of volatile transport. The survival of steam bubbles to the water surface could enable non-wetted ash transport from the vent to a subaerial ash cloud. Current eruption models assume a very simple plume mixing geometry, that cold water mixes with the plume immediately after erupting, and that the total volume of steam condenses in the initial phase of mixing. This limits the survival of steam to within tens of meters above the vent. Though these assumptions may be valid, they are unproven, and the calculations based on them do not take into account any kinetic constraints on condensation. The following model has been developed to evaluate the limits of juvenile steam survival in a subaqueous explosive eruption.

This model utilizes the analytical model for condensation of steam injected into a sub-cooled pool produced in Park et al. (2007). Necessary parameterizations require an iterative internal calculation of the steam saturation temperature and vapor density for each modeled time step. The contribution of volumetric expansion due to depressurization of a rising bubble is calculated and used in conjunction with condensation rate to calculate the temporal evolution of bubble volume and radius. Using steam bubble volume with the BBO equation for Lagrangian transport in a fluid, the bubble rise velocity is calculated and used to evaluate the rise distance.

The steam rise model proves a useful tool to compare the effects of steam condensation, volumetric expansion, volume flux, and water depth on the dynamics of juvenile steam. The modeled results show that a sufficiently high volatile flux could lead to the survival of steam bubbles from >1km depths to the ocean surface, though low to intermediate fluxes lead to fairly rapid condensation. Building on this result we also present the results of simulations of multiphase steam jets and consider the likelihood of collapse inside a vapor envelope.