Radon diffusion in an anhydrous andesitic melt: a finite difference solution

Abstract

Radon-222 diffusion in an anhydrous andesitic melt was investigated. The melts were glass discs formed artificially from melted volcanic materials. Solutions of the relevant diffusion equations were done by the explicit finite difference method. Results were compared to analytical solutions reported in the literature and good agreement was found. We have shown that the explicit finite difference method is effective and accurate for solving equations that describe (222)Rn diffusion in andesitic melts, which is especially important when arbitrary initial and boundary conditions are required.