U-238 TH-230-RA-226 AND U-235 PA-231 DISEQUILIBRIA PRODUCED BY MANTLEMELTING WITH POROUS AND CHANNEL FLOWS

A one-dimensional melting model for radioactive decay series is presen ted, incorporating melt transport by porous flow, with diffusive chemi cal interaction between melt and solid matrix, and instantaneous melt ascent through chemically isolated channels. If melt transport through the channels is dominant, the melting is essentially similar to fract ional melting. A significant radioactive disequilibrium can be produce d near the bottom of the melting column if mantle upwelling velocity i s 10(10) m/s or less, although the time available for producing radioa ctive disequilibrium is limited, due to efficient element extraction f rom the solid. Fast melt transport through channels can retain the dis equilibrium up to the surface. In this case a small amount of melting (approximately 0.5%) of garnet peridotite can account for an activity ratio (Th-230)/(U-238) of much greater than 1, despite a successively larger amount of melting of spinel peridotite. If porous flow is domin ant, compositions of melt and solid are similar to those produced by b atch melting because the melt can re-equilibrate with the solid. The t ime available for producing radioactive disequilibrium is longer than that for melting with channel flow. However, the slow melt percolation and continuous chemical reaction with spinel peridotites buffer the ( Th-230)/(U-238) of the percolating melt around unity. For realistic me lting conditions, local chemical disequilibrium probably has an insign ificant effect on the activity ratios, except that (Ra-226)/(Th-230) c an be greatly decreased by a small degree of chemical disequilibrium. Comparisons between model predictions and observed activity ratios sug gest that fast melt transport through chemically isolated channels is dominant beneath mid-ocean ridges, whereas melt transport within the H awaiian plume is not constrained: the full range of models from porous to channel flow is possible.