Journal of Petrology, Volume 40, Issue 2: February 1999.

Calculation of Peridotite Partial Melting from Thermodynamic Models of Minerals and Melts. II. Isobaric Variations in Melts near the Solidus and owing to Variable Source Composition

M. M. HIRSCHMANN¹, M. S. GHIORSO² AND E. M. STOLPER³

¹DEPARTMENT OF GEOLOGY AND GEOPHYSICS, UNIVERSITY OF MINNESOTA, 310 PILLSBURY DRIVE S.E., MINNEAPOLIS, MN 55455-0219, USA
²DEPARTMENT OF GEOLOGICAL SCIENCES, AJ-20, UNIVERSITY OF WASHINGTON, SEATTLE, WA 98195, USA
³DIVISION OF GEOLOGICAL AND PLANETARY SCIENCES, 170-25, CALTECH, PASADENA, CA 91125, USA

We examine several issues related to peridotite partial melting by performing thermodynamic calculations using the MELTS algorithm. MELTS calculations suggest that the high alkali content of near-solidus melts leads to their having high SiO₂ contents at 1 GPa, but that near-solidus enrichments in SiO₂ become less pronounced with increasing pressure, such that 2% partial melts at 3 GPa have only ~1 wt % more SiO₂ than higher melt fractions (5-15%) at that pressure. Calculated near-solidus solid-liquid partitioning of TiO₂ differs from that calculated and observed at high melt fraction, both at low and high pressure, reflecting variations in melt and mineral compositions as melting proceeds. Specifically, near the solidus, high liquid SiO₂ and an abundant supply of charge coupling ions (Na⁺, Al³⁺) in clinopyroxene (cpx) makes Ti more compatible in the solid. We infer that similar effects are likely for other highly charged cations such as the high field strength elements (HFSE), U, and Th. To investigate the effects of heterogeneous source regions on major element chemistry of basaltic partial melts, we perform melting calculations for a range of peridotite compositions. For partial melts in equilibrium with spinel lherzolite residues, CaO/Al₂O₃ and CaO content increase with increasing temperature and decrease with increasing Na₂O in the melt and Al/(Cr + Al) in coexisting spinel. Thus, at any given melt fraction, the CaO/Al₂O₃ ratios and CaO contents of partial melts are inversely correlated with the fertility or enrichment of the source and only weakly dependent on the source CaO/Al₂O₃ or CaO content. At fixed melt fraction, these effects of source depletion on melt composition (Na₂O decreases, CaO/Al₂O₃ increases) are similar to the effects of increasing total extent of melting of a fixed source composition, and the two phenomena may therefore be difficult to discriminate on the basis of these melt variables alone. The effects of source variability on partial melting depend on whether compositionally distinct domains experience the same or different temperature-pressure paths. If they experience the same paths, as might be expected for small-scale heterogeneities, then enhanced melting of the enriched sources can yield partial melts with depleted characteristics such as low Na₂O and high CaO/Al₂O₃ relative to partial melts of depleted sources at the same pressure and temperature. The differing compatibility of K and Ti in spinel peridotite minerals causes the K₂O/TiO₂ ratio of partial melts to vary inversely with the total extent of melting (and with FeO*), so K₂O/TiO₂ may not be a reliable indicator of source heterogeneity. Moreover, enriched high K₂O/TiO₂ sources probably produce melts richer in FeO than depleted low K₂O/TiO₂ sources at the same conditions. Consequently, the inverse correlation between regionally averaged K₂O/TiO₂ and melt FeO* observed by Shen & Forsyth (1995, Journal of Geophysical Research 100, 2211-2237) is probably more strongly influenced by variations in extent of melting than by source heterogeneity.

Keywords: mantle melting;peridotite;mantle composition; thermodynamic calculations

Pages 297-313