Textural equilibrium melt geometries around tetrakaidecahedral grains

摘要: In textural equilibrium, partially molten materials minimize the total surface energy bound up in grain boundaries and grain–melt interfaces. Here, numerical calculations of such equilibrium geometries are presented for a space-filling tessellation grains with tetrakaidecahedral (truncated octahedral) unit cell. Two parameters determine nature geometries: porosity dihedral angle. A variety distinct melt topologies occur different combinations these two parameters, between have been determined. For small angles, wetting occurs once has exceeded 11%. An exhaustive account is given main properties their energy, pressure, mean curvature, contiguity areas on cross sections faces. Their effective permeabilities calculated, demonstrate transition quadratic variation at low porosities to cubic high porosities.