Crystal dissolution in high temperature silicate melts is typically controlled by diffusion across a boundary layer in the melt next to the crystal. Experimental studies on basaltic systems show a decreasing rate of dissolution from garnet, clinopyroxene, orthopyroxene, to olivine, with the dissolution rate of garnet about 10 times that of olivine at pressures up to 20 kbars. Preferential dissolution is exhibited by many upper mantle-derived spinel peridotite xenoliths in which embayment of orthopyroxene relative to the juxtaposed olivine grains occurs at the xenolith-host basalt contacts. By combining the data on dissolution rates as a function of pressure, the relationship between the path of adiabatic ascent and the liquidus, and the density and viscosity of basaltic melt, we establish here formulations relating the amount of peridotite dissolution to the ascent times and velocities of alkali basalts in continental and oceanic settings. The results show that alkali basalts may ascend at velocities of u...
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