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Composition of accumulated fractional melts as a function of melt fraction F. (a) CaO, (b) Al 2 O 3 , (c) MgO, (d) FeO T and (e) SiO 2 , for polybaric fractional melting of peridotite KLB-1 (blue) and silica-deficient pyroxenite KG1(8) (green) and T P ¼ 1315 and 1500 C. Each point represents an F ¼ 0Á01 calculation step. Points show the integrated cumulative melt compositions of all melt fractions up to the one given. Lines show the instantaneous melt compositions. A 1D melt column is assumed; that is, the composition of an F ¼ 0Á03 melt is the average of the F ¼ 0Á01, 0Á02 and 0Á03 incremental melt compositions. Lines show the Paran a– Etendeka CFB province picrite (continuous line) and ferropicrite (dashed line) suggested primary melt compositions for comparison , calculated assuming Fe 3þ /Fe T ¼ 0Á1. Plot (c) also shows the Fo content [100(Mg/(Mg þ Fe 2þ )), mol] of olivine in the solid mantle residue at melting intervals of 0.1, where the colour indicates the corresponding bulk composition.  

Composition of accumulated fractional melts as a function of melt fraction F. (a) CaO, (b) Al 2 O 3 , (c) MgO, (d) FeO T and (e) SiO 2 , for polybaric fractional melting of peridotite KLB-1 (blue) and silica-deficient pyroxenite KG1(8) (green) and T P ¼ 1315 and 1500 C. Each point represents an F ¼ 0Á01 calculation step. Points show the integrated cumulative melt compositions of all melt fractions up to the one given. Lines show the instantaneous melt compositions. A 1D melt column is assumed; that is, the composition of an F ¼ 0Á03 melt is the average of the F ¼ 0Á01, 0Á02 and 0Á03 incremental melt compositions. Lines show the Paran a– Etendeka CFB province picrite (continuous line) and ferropicrite (dashed line) suggested primary melt compositions for comparison , calculated assuming Fe 3þ /Fe T ¼ 0Á1. Plot (c) also shows the Fo content [100(Mg/(Mg þ Fe 2þ )), mol] of olivine in the solid mantle residue at melting intervals of 0.1, where the colour indicates the corresponding bulk composition.  

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Evidence for chemical and lithological heterogeneity in the Earth’s convecting mantle is widely acknowledged, yet the major element signature imparted on mantle melts by this heterogeneity is still poorly resolved. In this study, a recent thermodynamic melting model is tested on a range of compositions that correspond to potential mantle lithologie...

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... evolution of these incremental and accumulated fractional melts with further decompression, thus increasing cumulative F, is shown in terms of five oxides in Fig. 12. T P is a proxy for average depth of melting, as hotter decompressing mantle will intersect the solidus and begin to melt at higher pressure and temperature. As was also indicated by Fig. 10, Fig. 12 shows that the melt composition is a function of both source compos- ition and depth of melting, making it more difficult to in- terpret ...
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... Fo contents of olivine in the solid mantle residue are also shown in Fig. 12c. This shows Fo to increase with increasing extent of melt extraction. KG1(8) pyrox- enite mantle olivine ranges from 82Á8 to 89Á5 and varies predominantly as a function of melt fraction. Primary pyroxenite-derived melts are therefore not required to be in equilibrium with high-Fo (>90) olivine, provided that the melts maintain Fe-Mg ...
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... at MgO ¼ 15Á1 wt % (also with melt Fe 3þ /RFe ¼ 0Á1), which assumes that there had been no significant prior frac- tionation and that these olivines are in equilibrium with their mantle source. On the solidus of KG1 (8) at T P ¼ 1500 C, olivine is Fo 82Á9 in the present model, which steadily increases during decompression frac- tional melting (Fig. 12). Therefore, Fo 86Á0 or lower does not necessarily imply prior olivine fractionation in pyroxenite-derived melts. Figure 12 shows the suggested primary melt com- position of Etendeka picrites and ferropicrites. FeO T (RFe as FeO), rather than FeO, is shown in Fig. 12, to re- duce the effect of (1) choice of Fe 3þ /RFe in the mantle ...
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... Fo 86Á0 or lower does not necessarily imply prior olivine fractionation in pyroxenite-derived melts. Figure 12 shows the suggested primary melt com- position of Etendeka picrites and ferropicrites. FeO T (RFe as FeO), rather than FeO, is shown in Fig. 12, to re- duce the effect of (1) choice of Fe 3þ /RFe in the mantle source and (2) assignment of Fe 3þ /RFe in the natural samples on the comparability of the two. ...
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... model, which steadily increases during decompression frac- tional melting (Fig. 12). Therefore, Fo 86Á0 or lower does not necessarily imply prior olivine fractionation in pyroxenite-derived melts. Figure 12 shows the suggested primary melt com- position of Etendeka picrites and ferropicrites. FeO T (RFe as FeO), rather than FeO, is shown in Fig. 12, to re- duce the effect of (1) choice of Fe 3þ /RFe in the mantle source and (2) assignment of Fe 3þ /RFe in the natural samples on the comparability of the two. The picrites and ferropicrites do not perfectly coincide with any given source composition, T P , or F, reflecting both the large uncertainty associated with determining a ...
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... a-Etendeka picrite and ferropicrite whole-rock compositions and suggested primary melt compos- itions are also shown in Fig. 13. It is clearer here than in Fig. 12 that (1) ferropicrites are similar to low-to moderate-fraction melts of high-pressure (high-T P ) silica-deficient pyroxenite KG1 and (2) picrites are simi- lar to partial melts of KLB-1 peridotite. The dominating effect of olivine loss or gain on the whole-rock compos- itions is clear in Fig. 13a and c. In every plot, the sense of the ...
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... effect of olivine loss or gain on the whole-rock compos- itions is clear in Fig. 13a and c. In every plot, the sense of the change in chemistry between picrites and Fig. 13. Composition of accumulated fractional melts compared with whole-rock data. Points are accumulated (integrated) melt compositions at F ¼ 0Á01 intervals (see caption to Fig. 12 for details). Small arrows indicate the location of the F ¼ 0Á01 melt (i.e. the onset of melting). Small dots represent unfiltered whole-rock samples from the Etendeka province [normalized to 100% in the eight-component NCFMASCrO system; data from Gibson et al. (2000) and Thompson et al. (2001)], enclosed by coloured fields to highlight the general ...

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... Ball et al. 2021], compositional variability [e.g. Brown and Lesher 2014;Gleeson et al. 2021], and primary melt compositions [e.g. Jennings et al. 2016]. These melting models calculate mantle melting behaviour either by minimising thermodynamic potentials at each calculation step [e.g. ...
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... Based on the melting behavior of fertile peridotite and pyroxenite, magmas generated from some types of pyroxenite should generally have lower CaO contents at a given MgO content as compared with peridotite-derived melts (Herzberg and Asimow, 2008). However, fractionation of CaO relative to MgO is sensitive to the bulk mineral/ melt distribution coefficient for CaO (D CaO ) in the magma, and pyroxenites can have D CaO > 1 or D CaO < 1, irrespective of the initial concentration of CaO in the pyroxenite (e.g., Herzberg, 2011;Jennings et al., 2016;Jennings and Holland, 2015). The whole-rock composition of the mantle source is also important, and melting of CaO-poor harzburgite can also produce low-CaO melts because of the absence of clinopyroxene in the source (Hole and Natland, 2020). ...
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... MIX1G is a silica-deficient pyroxenite which plots close to the average global pyroxenite composition and can be considered as a mixture between KLB1 and MORB (Lambart et al., 2016), i.e., recycled crust mixed with ambient mantle. The ferric Fe content of MIX1G is taken as between that of KLB1 peridotite and MORB, following the approach used for KG1 by Jennings et al. (2016), with Fe 3+ /Fe T = 0.1. Further detail on the choice of pyroxenite lithologies is given throughout the thesis. ...
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Thesis
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Throughout this thesis, I investigate five stable isotope systems (Mg-Ca-Fe-V-Cr) that have shown promise in models or natural samples as tracers of mantle lithology. I develop a quantitative model, combining thermodynamically self-consistent mantle melting and equilibrium isotope fractionation models, to explore the behaviour of the stable isotope ratios of these elements during melting of three mantle lithologies (peridotite, and silica-excess and silica-deficient pyroxenites). I also present new Fe isotope data for Samoan shield and Azores volcanoes, and for a suite of samples from 90 million years of evolution of the Galápagos mantle plume system. These OIB allow me to study the role of recycled mantle components in generating Fe isotope variability in melts, to compare to my mantle melting and isotope fractionation model. 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However, continued improvements in analytical precision in conjunction with experimental and theoretical predictions of isotopic fractionation between mantle minerals and melts are required before these heavy stable isotopes can be unambiguously used to understand source heterogeneity in erupted basalts.
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... 10.1029/2020GC009157 4 of 32 mantle source of melts creates additional complexity; at any given pressure and temperature, the chemistry of melts in equilibrium with pyroxenite is different from melts in equilibrium with mantle lherzolite (e.g., Hirschmann & Stolper, 1996;Jennings et al., 2016;Lambart et al., 2013). The chemistry of a mixed magma, containing substantial contributions from both lherzolite and pyroxenite, is difficult to use to directly estimate melting temperature and pressure. ...
... Olivine populations in Fo-T crys space can be bounded by two liquid lines of descent (LLD) (Figure 5c) each corresponding to a primary magma of distinct composition (Matthews et al., 2016). Pyroxenite-derived melts generally have a lower Mg# and a higher FeO content than lherzolite-derived melts (e.g., Jennings et al., 2016;Kogiso et al., 2004;Lambart et al., 2009); therefore, they will saturate in olivine of lower Fo at the same temperature, compared to lherzolite-derived melts (Roeder & Emslie, 1970). Since the lherzolite-derived melts are the most likely to have been in equilibrium with Fo ≥91 olivine, the most suitable starting point for extrapolating back to primary crys T is an olivine crystallized on the lherzolite-derived melt LLD. ...
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Previous studies have concluded that dehydration of serpentinites in subduction zones produces oxidizing fluids that are the cause of oxidized arc magmas. Here, observations of natural samples and settings are combined with thermodynamic models to explore some of the factors that complicate interpretation of the observations that form the basis of this conclusion. These factors include: the variability of serpentinite protoliths; the roles of carbon and sulfur in serpentinite evolution; variability in serpentinization in different tectonic settings; changes in the bulk compositions of ultramafic rocks during serpentinization; fundamental differences between serpentinization and deserpentinization; and the absence of precise geothermobarometers for ultramafic rocks. The capacity of serpentinite-derived fluids to oxidize sub-arc magma is also examined. These fluids can transport redox budget as carbon-, sulfur-, and iron-bearing species. Iron- and carbon-bearing species might be present in sufficient concentrations to transport redox budget deep within subduction zones, but are not viable transporters of redox budget at the temperatures of antigorite breakdown, which produces the largest proportion of fluid released by serpentinite dehydration. Sulfur-bearing species can carry significant redox budget, and calculations using the Deep Earth Water (DEW) model show that these species might be stable during antigorite breakdown. However, oxygen fugacities of ∼ΔFMQ +3 (where FMQ refers to the fayalite–magnetite–quartz buffer, and ΔFMQ is Log fO2 – Log fO2,FMQ), which is close to, or above, the hematite–magnetite buffer at the conditions of interest, are required to stabilize oxidized sulfur-bearing species. Pseudosection calculations indicate that these conditions might be attained at the conditions of antigorite breakdown if the starting serpentinites are sufficiently oxidized, but further work is required to assess the variability of serpentinite protoliths, metamorphic pressures and temperatures, and to confirm the relative positions of the mineral buffers with relation to changes in fluid speciation.
... However, some primary melts show extremely high FeO tot (>13 wt%) with high MgO (>12 wt%) (ferropicrite) [1]. Considering the influence of chemical and mineral compositions of the mantle source on melt compositions, it has been argued that ferropicrites may be near-primary partial melts of pyroxenite formed in the convecting mantle [2][3][4], whereas others favor an origin by partial melting of an iron-rich peridotitic mantle source [5,6]. Melting experiments have shown that melting conditions such as pressure and temperature can strongly influence the melt compositions, such that ferropicrites may be generated by partial melting of an olivine-dominated mantle source at~5 GPa [5]. ...
... This implies that ferropicrite could be produced by the partial melting of oxidized mantle peridotite, and that a Fe-enriched mantle source [1] is not necessary. Some pyroxenite-derived melts formed at normal mantle fO 2 may have higher FeO tot than melts of peridotite, and have been advocated to explain ferropicrite petrogenesis [4]. However, the Al 2 O 3 contents (about 14 wt%) (Tables S3 and S4 online) of these melts are much higher than in ferropicrites (<10 wt%) [5]. ...
... This requires information about the mineral modes along the KG1 solidus and the extents of melting required to exhaust each phase at any given pressure. We quantified these values using ThermoCalc (Powell et al., 1998) and the Jennings and Holland (2015) thermodynamic database using the KG1(8) bulk composition modelled by Jennings et al. (2016). To ensure consistency with the MELT-Px melting parameterization (which depends on the melt fraction at which clinopyroxene is exhausted from the residue, F cpx-out ), we renormalized the phase-out boundaries predicted by ThermoCalc to be consistent with F cpx-out predicted by the MELTS-Px model. ...
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The compositions and volumes of basalt generated by partial melting of the Earth's mantle provide fundamental constraints on the thermo-chemical conditions of the upper mantle. However, using melting products to interpret uniquely these conditions is challenging given the complexity of the melting and melt aggregation processes. Forward models simulating melting of lithologically heterogeneous mantle sources can account for this complexity, but require assumptions about key model input parameters, and the quality of the model fits to the observations are rarely, if at all, considered. Alternatively, inverse melting models can provide estimates of the quality of model fits to the observations, but as of yet, do not account for the presence of lithologic heterogeneity in the mantle source. To overcome these limitations, we present an inverse method coupling a Markov chain Monte Carlo (MCMC) sampling method with the REEBOX PRO forward mantle melting model. We use this tool to constrain mantle potential temperature, melt volumes, and the trace element and isotopic compositions of mantle source lithologies beneath the Reykjanes Peninsula of Iceland. We consider a range of plausible pyroxenite compositions (KG1, G2, and MIX1G) that span much of the range of natural pyroxenite compositions, and constrain the mantle potential temperature between 1455 and 1480 • C and pyroxenite abundance between 6.5 and 8.5%. These results are independent of the choice of pyroxenite composition and indicate that elevated potential temperatures and modest pyroxenite abundances are robust features of the Reykjanes Peninsula mantle source. The permitted ranges of pyroxenite trace element compositions vary as a function of pyroxenite fertility and mineralogy, but differ from the compositions of subduction-modified recycled oceanic crust typically used in previous models, indicating a more complex petrogenetic origin for the pyroxenite source than previously considered. As all of the pyroxenites employed here yield equally good fits to the geochemical and geophysical observations along the Reykjanes Peninsula, forward models should not be used to constrain the major element character of pyroxenite present in mantle source regions based solely on the trace element/isotopic compositions (and volumes) of basalts. Given the range of lithologies included in REEBOX PRO and the flexibility of MCMC inversion, this method may be applied to constrain thermal and compositional source characteristics in a wide variety of basalt source regions.