Skip to main content
SpringerLink
Log in

Modelling garnet-fluid partitioning in H2O-bearing systems: a preliminary statistical attempt to extend the crystal lattice-strain theory to hydrous systems

  • Original Paper
  • Published:
Contributions to Mineralogy and Petrology Aims and scope Submit manuscript

Abstract

Accurate geochemical models of magmatic processes require an understanding of crystal-melt partitioning of trace elements. Many major igneous processes at different tectonic environments in Earth occur in the presence of garnet as a residual phase. Since the pioneering crystal lattice-strain model, several attempts have been made to quantify garnet-melt partitioning coefficients over a wide range of conditions. However, high pressure high-temperature experimental data demonstrate distinct differences in partitioning determined at anhydrous conditions and partitioning determined in the presence of H2O. In this study, we present for the first time a constraint on the partitioning of REE, Y, and Sc between garnet and hydrous fluids as a function of the water content in the fluid phase. We analysed published hydrous experimental partitioning data using different statistical methods and modelled key parameters in the crystal lattice strain model (r0, D0, and E). We show a robust correlation between r0, temperature and garnet-fluid partitioning of Mg. We further show that D0 can be predicted using the garnet-fluid partitioning of Fe and that E can be predicted using various parameters describing the fluid phase. We validate and illustrate the ability to predict partitioning of REE in H2O-bearing systems using major element analysis of garnet and fluid only. Consequently, our statistical model paves the way to integrate thermodynamic models based on major element chemical equilibria with trace element studies on hydrous magmatic systems, allowing a description of the transfer of key trace elements in more realistic conditions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Adam J, Green T (2006) Trace element partitioning between mica- and amphibole-bearing garnet lherzolite and hydrous basanitic melt: 1. Experimental results and the investigation of controls on partitioning behaviour. Contrib Miner Petrol 152:1–17. https://doi.org/10.1007/s00410-006-0085-4

    Article  Google Scholar 

  • Allegre C, Minster J (1978) Quantitative models of trace element behavior in magmatic processes. Earth Planet Sci Lett 38:1–25

    Google Scholar 

  • Antignano A, Manning CE (2008) Rutile solubility in H2O, H2O–SiO2, and H2O–NaAlSi3O8 fluids at 0.7–2.0 GPa and 700–1000 C: implications for mobility of nominally insoluble elements. Chem Geol 255:283–293

    Google Scholar 

  • Audétat A, Keppler H (2005) Solubility of rutile in subduction zone fluids, as determined by experiments in the hydrothermal diamond anvil cell. Earth Planet Sci Lett 232:393–402

    Google Scholar 

  • Ayers JC, Dittmer SK, Layne GD (1997) Partitioning of elements between peridotite and H2O at 2.0–3.0 GPa and 900–1100 C, and application to models of subduction zone processes. Earth Planet Sci Lett 150:381–398

    Google Scholar 

  • Barth MG, Foley SF, Horn I (2002) Partial melting in Archean subduction zones: constraints from experimentally determined trace element partition coefficients between eclogitic minerals and tonalitic melts under upper mantle conditions. Precamb Res 113:323–340

    Google Scholar 

  • Beattie P et al (1993) Terminology for trace-element partitioning. Geochim Cosmochim Acta 57:1605–1606

    Google Scholar 

  • Blundy J, Wood B (1994) Prediction of crystal–melt partition coefficients from elastic moduli. Nature 372:452

    Google Scholar 

  • Blundy J, Wood B (2003a) Mineral-melt partitioning of uranium, thorium and their daughters. Rev Min 52:59–123

    Google Scholar 

  • Blundy J, Wood B (2003b) Partitioning of trace elements between crystals and melts. Earth Planet Sci Lett 210:383–397

    Google Scholar 

  • Brenan JM, Watson EB (1991) Partitioning of trace elements between olivine and aqueous fluids at highP-T conditions: implications for the effect of fluid composition on trace-element transport. Earth Planet Sci Lett 107:672–688

    Google Scholar 

  • Brenan J, Shaw H, Ryerson F, Phinney D (1995a) Experimental determination of trace-element partitioning between pargasite and a synthetic hydrous andesitic melt. Earth Planet Sci Lett 135:1–11

    Google Scholar 

  • Brenan J, Shaw H, Ryerson F, Phinney D (1995b) Mineral-aqueous fluid partitioning of trace elements at 900 C and 2.0 GPa: constraints on the trace element chemistry of mantle and deep crustal fluids. Geochim Cosmochim Acta 59:3331–3350

    Google Scholar 

  • Brenan JM, Ryerson FJ, Shaw HF (1998) The role of aqueous fluids in the slab-to-mantle transfer of boron, beryllium, and lithium during subduction: experiments and models. Geochim Cosmochim Acta 62:3337–3347

    Google Scholar 

  • Chu L, Enggist A, Luth RW (2011) Effect of KCl on melting in the Mg2SiO4–MgSiO3–H2O system at 5 GPa. Contrib Miner Petrol 162:565–571

    Google Scholar 

  • Corgne A, Wood BJ (2004) Trace element partitioning between majoritic garnet and silicate melt at 25 GPa. Phys Earth Planet Inter 143:407–419

    Google Scholar 

  • Corgne A, Armstrong LS, Keshav S, Fei Y, McDonough WF, Minarik WG, Moreno K (2012) Trace element partitioning between majoritic garnet and silicate melt at 10–17 GPa: implications for deep mantle processes. Lithos 148:128–141

    Google Scholar 

  • Draper DS, van Westrenen W (2007) Quantifying garnet-melt trace element partitioning using lattice-strain theory: assessment of statistically significant controls and a new predictive model. Contrib Miner Petrol 154:731–746

    Google Scholar 

  • Draper DS, Andrew duFrane S, Shearer CK, Dwarzski RE, Agee CB (2006) High-pressure phase equilibria and element partitioning experiments on Apollo 15 green C picritic glass: implications for the role of garnet in the deep lunar interior. Geochim Cosmochim Acta 70:2400–2416

    Google Scholar 

  • Ellison AJ, Hess PC (1990) Lanthanides in silicate glasses: a vibrational spectroscopic study. J Geophys Res Solid Earth 95:15717–15726

    Google Scholar 

  • Ellison AJ, Hess PC (1994) Raman study of potassium silicate glasses containing Rb+, Sr2+, Y3+ and Zr4+: implications for cation solution mechanisms in multicomponent silicate liquids. Geochim Cosmochim Acta 58:1877–1887

    Google Scholar 

  • Evans TM, O’Neill HSC, Tuff J (2008) The influence of melt composition on the partitioning of REEs, Y, Sc, Zr and Al between forsterite and melt in the system CMAS. Geochim Cosmochim Acta 72:5708–5721

    Google Scholar 

  • Frey F, Pringle M, Meleney P, Huang S, Piotrowski A (2011) Diverse mantle sources for Ninetyeast Ridge magmatism: geochemical constraints from basaltic glasses. Earth Planet Sci Lett 303:215–224

    Google Scholar 

  • Gaetani GA (2004) The influence of melt structure on trace element partitioning near the peridotite solidus. Contrib Miner Petrol 147:511–527

    Google Scholar 

  • Gaetani GA, Kent AJR, Grove TL, Hutcheon ID, Stolper EM (2003) Mineral/melt partitioning of trace elements during hydrous peridotite partial melting. Contrib Miner Petrol 145:391–405. https://doi.org/10.1007/s00410-003-0447-0

    Article  Google Scholar 

  • Gast PW (1968) Trace element fractionation and the origin of tholeiitic and alkaline magma types. Geochim Cosmochim Acta 32:1057–1086

    Google Scholar 

  • Goldschmidt VM (1937) The principles of distribution of chemical elements in minerals and rocks. The seventh Hugo Müller Lecture, delivered before the Chemical Society on March 17th, 1937. J Chem Soc 655–673

  • Green T, Blundy J, Adam J, Yaxley G (2000) SIMS determination of trace element partition coefficients between garnet, clinopyroxene and hydrous basaltic liquids at 2–7.5 GPa and 1080–1200 C. Lithos 53:165–187

    Google Scholar 

  • Hanchar JM, Van Westrenen W (2007) Rare earth element behavior in zircon-melt systems. Elements 3:37–42

    Google Scholar 

  • Hayden LA, Manning CE (2011) Rutile solubility in supercritical NaAlSi3O8–H2O fluids. Chem Geol 284:74–81

    Google Scholar 

  • Hertogen J, Gijbels R (1976) Calculation of trace element fractionation during partial melting. Geochim Cosmochim Acta 40:313–322

    Google Scholar 

  • Hess PC (1995) Thermodynamic mixing properties and the structure of silicate melts. Struct Dyn Prop Silic Melts 32:145–189

    Google Scholar 

  • Howarth GH et al (2014) Superplume metasomatism: evidence from Siberian mantle xenoliths. Lithos 184:209–224

    Google Scholar 

  • Huang F, Sverjensky DA (2019) Extended Deep Earth Water Model for predicting major element mantle metasomatism. Geochim Cosmochim Acta 254:192–230

    Google Scholar 

  • Huang F, Lundstrom C, McDonough W (2006) Effect of melt structure on trace-element partitioning between clinopyroxene and silicic, alkaline, aluminous melts. Am Miner 91:1385–1400

    Google Scholar 

  • Kessel R, Schmidt MW, Ulmer P, Pettke T (2005a) Trace element signature of subduction-zone fluids, melts and supercritical liquids at 120–180 km depth. Nature 437:724–727. https://doi.org/10.1038/nature03971

    Article  Google Scholar 

  • Kessel R, Ulmer P, Pettke T, Schmidt MW, Thompson AB (2005b) The water–basalt system at 4 to 6 GPa: phase relations and second critical endpoint in a K-free eclogite at 700 to 1400 °C. Earth Planet Sci Lett 237:873–892. https://doi.org/10.1016/j.epsl.2005.06.018

    Article  Google Scholar 

  • Kessel R, Fumagalli P, Pettke T (2015a) The behaviour of incompatible elements during hydrous melting of metasomatized peridotite at 4–6 GPa and 1000°C–1200°C. Lithos 236:141–155. https://doi.org/10.1016/j.lithos.2015.08.016

    Article  Google Scholar 

  • Kessel R, Pettke T, Fumagalli P (2015b) Melting of metasomatized peridotite at 4–6 GPa and up to 1200 °C: an experimental approach. Contrib Miner Petrol. https://doi.org/10.1007/s00410-015-1132-9

    Article  Google Scholar 

  • Kim N, Stebbins JF, Quartieri S, Oberti R (2007) Scandium-45 NMR of pyrope-grossular garnets: resolution of multiple scandium sites and comparison with X-ray diffraction and X-ray absorption spectroscopy. Am Miner 92:1875–1880

    Google Scholar 

  • Klein M, Stosch H-G, Seck H, Shimizu N (2000) Experimental partitioning of high field strength and rare earth elements between clinopyroxene and garnet in andesitic to tonalitic systems. Geochim Cosmochim Acta 64:99–115

    Google Scholar 

  • Klimm K, Blundy JD, Green TH (2008) Trace element partitioning and accessory phase saturation during H2O-saturated melting of basalt with implications for subduction zone chemical fluxes. J Petrol 49:523–553. https://doi.org/10.1093/petrology/egn001

    Article  Google Scholar 

  • Louvel M, Sanchez-Valle C, Malfait WJ, Testemale D, Hazemann J-L (2013) Zr complexation in high pressure fluids and silicate melts and implications for the mobilization of HFSE in subduction zones. Geochim Cosmochim Acta 104:281–299

    Google Scholar 

  • Mottana A (1986) Crystal-chemical evaluation of garnet and omphacite microprobe analyses: its bearing on the classification of eclogites. Lithos 19:171–186

    Google Scholar 

  • Mysen BO (2004) Element partitioning between minerals and melt, melt composition, and melt structure. Chem Geol 213:1–16

    Google Scholar 

  • Neumann H, Mead J, Vitaliano C (1954) Trace element variation during fractional crystallization as calculated from the distribution law. Geochim Cosmochim Acta 6:90–99

    Google Scholar 

  • O’Neill HSC, Eggins SM (2002) The effect of melt composition on trace element partitioning: an experimental investigation of the activity coefficients of FeO, NiO, CoO, MoO2 and MoO3 in silicate melts. Chem Geol 186:151–181

    Google Scholar 

  • Oberti R, Quartieri S, Dalconi MC, Boscherini F, Iezzi G, Boiocchi M, Eeckhout SG (2006) Site preference and local geometry of Sc in garnets: part I. Multifarious mechanisms in the pyrope-grossular join. Am Miner 91:1230–1239

    Google Scholar 

  • Onuma N, Higuchi H, Wakita H, Nagasawa H (1968) Trace element partition between two pyroxenes and the host lava. Earth Planet Sci Lett 5:47–51

    Google Scholar 

  • Papike J, Burger P, Shearer C, McCubbin F (2013) Experimental and crystal chemical study of the basalt–eclogite transition in Mars and implications for martian magmatism. Geochim Cosmochim Acta 104:358–376

    Google Scholar 

  • Ponader CW, Brown GE Jr (1989) Rare earth elements in silicate glassmelt systems: I. Effects of composition on the coordination environments of La, Gd, and Yb. Geochim Cosmochim Acta 53:2893–2903

    Google Scholar 

  • Prowatke S, Klemme S (2005) Effect of melt composition on the partitioning of trace elements between titanite and silicate melt. Geochim Cosmochim Acta 69:695–709

    Google Scholar 

  • Quartieri S, Antonioli G, Geiger C, Artioli G, Lottici P (1999a) XAFS characterization of the structural site of Yb in synthetic pyrope and grossular garnets. Phys Chem Miner 26:251–256

    Google Scholar 

  • Quartieri S, Chaboy J, Antonioli G, Geiger C (1999b) XAFS characterization of the structural site of Yb in synthetic pyrope and grossular garnets. II: XANES full multiple scattering calculations at the Yb L I-and L III-edges. Phys Chem Miner 27:88–94

    Google Scholar 

  • Quartieri S, Boscherini F, Chaboy J, Dalconi M, Oberti R, Zanetti A (2002) Characterization of trace Nd and Ce site preference and coordination in natural melanites: a combined X-ray diffraction and high-energy XAFS study. Phys Chem Miner 29:495–502

    Google Scholar 

  • Quartieri S, Dalconi M, Boscherini F, Oberti R, D’Acapito F (2004) Changes in the local coordination of trace rare-earth elements in garnets by high-energy XAFS: new data on dysprosium. Phys Chem Miner 31:162–167

    Google Scholar 

  • Ryerson F, Hess P (1978) Implications of liquid-liquid distribution coefficients to mineral-liquid partitioning. Geochim Cosmochim Acta 42:921–932

    Google Scholar 

  • Safonov O, Butvina V (2013) Interaction of model peridotite with H2O-KCl fluid: experiment at 1.9 GPa and its implications for upper mantle metasomatism. Petrology 21:599–615

    Google Scholar 

  • Shannon RD (1976) Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Crystallogr Sect A Found Crystallogr 32:751–767

    Google Scholar 

  • Shaw DM (1953) The camouflage principle and trace-element distribution in magmatic minerals. J Geol 61:142–151

    Google Scholar 

  • Sun C, Liang Y (2013) The importance of crystal chemistry on REE partitioning between mantle minerals (garnet, clinopyroxene, orthopyroxene, and olivine) and basaltic melts. Chem Geol 358:23–36

    Google Scholar 

  • Tatsumi Y, Hamilton D, Nesbitt R (1986) Chemical characteristics of fluid phase released from a subducted lithosphere and origin of arc magmas: evidence from high-pressure experiments and natural rocks. J Volcan Geotherm Res 29:293–309

    Google Scholar 

  • Tsay A, Zajacz Z, Sanchez-Valle C (2014) Efficient mobilization and fractionation of rare-earth elements by aqueous fluids upon slab dehydration. Earth Planet Sci Lett 398:101–112

    Google Scholar 

  • Tsay A, Zajacz Z, Ulmer P, Waelle M, Sanchez-Valle C (2016) A new experimental approach to study fluid–rock equilibria at the slab-mantle interface based on the synthetic fluid inclusion technique. Am Miner 101:2199–2209

    Google Scholar 

  • Tsay A, Zajacz Z, Ulmer P, Sanchez-Valle C (2017) Mobility of major and trace elements in the eclogite-fluid system and element fluxes upon slab dehydration. Geochim Cosmochim Acta 198:70–91

    Google Scholar 

  • Van Kan Parker M, Mason PR, Van Westrenen W (2011) Trace element partitioning between ilmenite, armalcolite and anhydrous silicate melt: Implications for the formation of lunar high-Ti mare basalts. Geochim Cosmochim Acta 75:4179–4193

    Google Scholar 

  • van Westrenen W, Draper DS (2007) Quantifying garnet-melt trace element partitioning using lattice-strain theory: new crystal-chemical and thermodynamic constraints. Contrib Miner Petrol 154:717–730

    Google Scholar 

  • van Westrenen W, Blundy J, Wood B (1999) Crystal-chemical controls on trace element partitioning between garnet and anhydrous silicate melt. Am Miner 84:838–847

    Google Scholar 

  • van Westrenen W, Allan N, Blundy J, Purton J, Wood B (2000a) Atomistic simulation of trace element incorporation into garnets—comparison with experimental garnet-melt partitioning data. Geochim Cosmochim Acta 64:1629–1639

    Google Scholar 

  • van Westrenen W, Blundy JD, Wood BJ (2000b) Effect of Fe2+ on garnet–melt trace element partitioning: experiments in FCMAS and quantification of crystal-chemical controls in natural systems. Lithos 53:189–201

    Google Scholar 

  • van Westrenen W, Blundy JD, Wood BJ (2001) High field strength element/rare earth element fractionation during partial melting in the presence of garnet: implications for identification of mantle heterogeneities. Geochem Geophys Geosyst 2:7

    Google Scholar 

  • van Westrenen W et al (2003) Trace element incorporation into pyrope–grossular solid solutions: an atomistic simulation study. Phys Chem Miner 30(4):217–229

    Google Scholar 

  • Wilke M, Schmidt C, Dubrail J, Appel K, Borchert M, Kvashnina K, Manning CE (2012) Zircon solubility and zirconium complexation in H2O+ Na2O+ SiO2±Al2O3 fluids at high pressure and temperature. Earth Planet Sci Lett 349:15–25

    Google Scholar 

  • Wood BJ, Blundy JD (2002) The effect of H2O on crystal-melt partitioning of trace elements. Geochim Cosmochim Acta 66:3647–3656

    Google Scholar 

  • Zou H, Reid MR (2001) Quantitative modeling of trace element fractionation during incongruent dynamic melting. Geochim Cosmochim Acta 65:153–162

    Google Scholar 

Download references

Acknowledgements

This work was supported by Israel Science Foundation grants (167/14; 760/18). We appreciate the very valuable comments of W. van Westrenen and an anonymous reviewer, as well as comments from the associate editor T. Grove, helping us to significantly improve the manuscript. We thank E. Morin who provided us with the statistical background and guidance, and V. Lyakhovsky for his useful comments and assistance.

Author information

Authors and Affiliations

  1. Institute of Earth Sciences, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Amit Meltzer & Ronit Kessel

Authors
  1. Amit Meltzer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ronit Kessel
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Amit Meltzer.

Additional information

Communicated by Timothy L. Grove.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary file1 (XLSX 598 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Meltzer, A., Kessel, R. Modelling garnet-fluid partitioning in H2O-bearing systems: a preliminary statistical attempt to extend the crystal lattice-strain theory to hydrous systems. Contrib Mineral Petrol 175, 80 (2020). https://doi.org/10.1007/s00410-020-01719-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00410-020-01719-8

Keywords

Search

Navigation