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Journal of Petrology Advance Access published online on July 4, 2008

Journal of Petrology, doi:10.1093/petrology/egn033
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

The Composition and Evolution of Lithospheric Mantle: a Re-evaluation and its Tectonic Implications

W. L. Griffin1,*, Suzanne Y. O’Reilly1, J. C. Afonso1,2 and G. C. Begg1,3

1Arc National Key Centre for Geochemical Evolution and Metallogeny of Continents, Department of Earth and Planetary Sciences, Macquarie University, N. S. W. 2109, Australia
2Gdl, Institute of Earth Sciences ‘J. Almera’, C.S.I.C., Lluls Solé I SabarÍs S/N, 08028, Barcelona, Spain
3Minerals Targeting International, West Perth, W.A. 6005, Australia

Received January 27, 2008; Revised typescript accepted June 12, 2008


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 SECULAR EVOLUTION IN SCLM...
 SEISMIC TOMOGRAPHY: MAPPING THE...
 REFERTILIZATION OF DEPLETED...
 REFERTILIZATION OF DEPLETED...
 DISCUSSION
 APPENDIX
 REFERENCES
 
The composition of the subcontinental lithospheric mantle (SCLM) is broadly related to the tectonothermal age of the overlying crust, suggesting a secular change in SCLM-forming processes. Most estimated compositions of Archean SCLM, based on well-studied suites of xenoliths and xenocrysts, are depleted garnet lherzolites with high orthopyroxene/olivine. However, these compositions make it difficult to account for the high shear-wave velocities measured in the cores of large cratons, and predict deeper geoid anomalies and higher elevations than are observed in most cratons. Global and regional seismic tomography indicates that most cratonic xenolith suites represent material from the lower-velocity margins of lithospheric blocks. This implies that previous compositional estimates are strongly biased toward metasomatized material. We suggest that most Archean SCLM originally consisted of highly depleted dunites/harzburgites, similar to the Archean orogenic massifs of western Norway. Incorporation of such rocks in the cold upper parts of the cratonic SCLM satisfies the seismic and gravity data, suggesting that large volumes of these rocks are preserved in the cores of cratons, but are poorly sampled by volcanic rocks. The roots of most Proterozoic shields probably consist of refertilized Archean SCLM; the juvenile SCLM beneath Proterozoic and Phanerozoic mobile belts reflects only moderate depletion of Primitive Mantle compositions. Rather than a gradual evolution in SCLM-forming processes, we suggest a sharp dichotomy between Archean and younger tectonic regimes. The differences in buoyancy and viscosity between these two types of SCLM have played a major role in the construction, preservation and recycling of continental crust. If originally Archean SCLM is more widespread than currently recognized, models of crustal growth rates and recycling may need to be revised.

KEY WORDS: subcontinental lithospheric mantle; mantle evolution; seismic tomography; mantle metasomatism; Archean lithosphere


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 SECULAR EVOLUTION IN SCLM...
 SEISMIC TOMOGRAPHY: MAPPING THE...
 REFERTILIZATION OF DEPLETED...
 REFERTILIZATION OF DEPLETED...
 DISCUSSION
 APPENDIX
 REFERENCES
 
Earth's continental crust is underlain by the subcontinental lithospheric mantle (SCLM), which ranges in thickness from a few tens of kilometres beneath rift zones to >250 km beneath some Archean cratons. The SCLM consists mainly of ultramafic rocks, ranging from lherzolites (olivine + orthopyroxene +clinopyroxene ± garnet ± spinel) to dunites (olivine) and harzburgites (olivine + orthopyroxene). This compositional range is usually interpreted in terms of the progressive removal of basaltic components during partial melting events. Studies of xenoliths in volcanic rocks and exposed massifs in mobile belts have shown that the mean composition of the SCLM is broadly related to the age of the overlying crust (Griffin et al., 1998Go, 1999aGo). Ancient cratons generally are underlain by highly depleted SCLM, whereas most SCLM beneath Phanerozoic mobile belts is only mildly depleted relative to the underlying asthenosphere. Such compositional variations are significant for the tectonic behaviour of the continental crust, because they affect the buoyancy and rigidity of the lithosphere (Lenardic & Moresi, 1999Go), and lateral differences in composition and physical properties affect the geodynamic behaviour of the mantle. Understanding the origins of the secular evolution in SCLM composition is important, because different models have different implications for the overall evolution of Earth and for the genetic and tectonic relationships between crust and mantle.

Here we present a re-evaluation of the composition of the Archean SCLM, based on data from mantle petrology, seismic tomography and integrated lithospheric modelling, and propose a new interpretation of the causes of the observed secular evolution in SCLM composition. The conclusions have implications for the formation and destruction of continents, and for estimates of crustal growth rates through time.


    SECULAR EVOLUTION IN SCLM COMPOSITION
 TOP
 ABSTRACT
 INTRODUCTION
 SECULAR EVOLUTION IN SCLM...
 SEISMIC TOMOGRAPHY: MAPPING THE...
 REFERTILIZATION OF DEPLETED...
 REFERTILIZATION OF DEPLETED...
 DISCUSSION
 APPENDIX
 REFERENCES
 
In the following discussion, volumes of SCLM are classified in terms of the tectonothermal age of the overlying crust, defined as the age of the last major thermal event (Janse, 1994Go; Griffin et al., 1999aGo). Archons are areas where the crust has been unaffected since ≥2· 5 Ga; Protons experienced tectonism at 2· 5–1· 0 Ga; Tectons have been formed or modified at <1 Ga.

Estimates of SCLM composition can be derived from peridotite massifs or from xenoliths and xenocrysts in volcanic rocks; each has advantages and drawbacks. Peridotite massifs allow recognition of relationships between different rock types, but such massifs typically are derived from relatively shallow SCLM, and have been deformed and metamorphosed during their tectonic emplacement in the crust. Most examples are found in young mobile belts, and provide little insight into the composition of cratonic SCLM. Exceptions are found in some ultrahigh-pressure metamorphic belts, such as western Norway (Brueckner & Medaris, 1998Go, 2000Go), the Qinling–Dabie–Sulu belt of China and the North Qaidam belt of Tibet (e.g. Ye et al., 2000Go; Song et al., 2004Go), where fragments of deeper cratonic SCLM have become embedded in subducting continental crust and were exhumed together with that crust when subduction ceased.

Xenolith suites from kimberlites, basalts and other volcanic rocks provide samples from larger vertical sections of the SCLM, but relationships between rock types are seldom obvious. The mantle sample may be biased in terms of the rock types that survived ascent to the surface, as well as in the types of mantle domains sampled by different magma types. Further bias is introduced during sample collection and the choice of samples for analysis; petrologists have favoured garnet-bearing rocks for which PT estimates could be made. Compositional estimates derived from averages of the analysed material therefore may be distorted. In cratonic areas, comprehensive and well-studied xenolith suites are derived from a small number of kimberlites, many of them mined for diamonds.

A larger sample, with wider spatial distribution, is provided by xenocrysts of peridotitic wall rocks, extracted from kimberlites and other volcanic rocks. Garnet xenocrysts, in particular, are a rich source of information; the major- and trace-element composition of a peridotitic garnet xenocryst allows an estimate of the temperature, depth and major-element composition of its original host rock, and the Mg-number of the coexisting olivine and orthopyroxene (Griffin et al., 1998Go, 1999aGo). The analysis of large numbers of garnets provides an estimate of the mean composition of the SCLM sampled by a given volcanic rock (O’Reilly & Griffin, 2006Go). Table 1 shows that compositional estimates derived from garnet xenocrysts (Gnt-SCLM, Table 1) are similar to the average composition of xenoliths from the same locality, and the xenocryst data provide information from a much wider range of localities. However, these estimates apply only to the garnet-bearing portion of the SCLM, and thus may give a biased picture of SCLM composition, especially in cratonic areas.


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Table 1: Comparison of Gnt-SCLM and xenolith averages for selected localities

 
Table 2 compiles estimates of SCLM composition from Archon, Protons and Tectons, based on both garnet xenocrysts and the averages of well-studied xenolith suites. Two estimates for the composition of Primitive Mantle are provided for comparison. Figure 1 summarizes estimates of SCLM composition (Tables 1 and 2) in terms of Ca and Al, two elements that are removed from the mantle residue during the extraction of mafic to ultramafic melts.


Figure 1
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Fig. 1. Secular evolution of SCLM composition, using estimates for single areas based on garnet xenocrysts and xenolith suites (Table 1), and classified in terms of tectonothermal age (after Griffin et al., 1998Go, 1999aGo; see this reference for data sources).

 

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Table 2: Estimates of SCLM composition

 
‘Typical’ Archon SCLM, as estimated from garnet xenocrysts and xenolith suites (Table 1; Arc_1, Arc_2, Arc_3) is highly depleted, with CaO and Al2O3 in the range of 0·6–1% and 1–1· 5%, respectively. In contrast, most Tecton SCLM is only moderately depleted compared with the Primitive Upper Mantle (PUM). Tecton garnet peridotite xenoliths, and Gnt-SCLM estimates, have mean CaO and Al2O3 contents of 3·1–3·2% and 3· 5–3·9% (vs 3·6% and 4· 5% for PUM). Spinel peridotite xenolith suites from Tecton areas are typically somewhat more depleted (mean CaO and Al2O3 {approx} 5% (Table 2), but Re–Os analyses suggest that many of these xenoliths represent relict Proterozoic mantle preserved at shallow depths (Handler et al., 1997Go; Alard et al., 2002Go; Xu et al., 2008Go). Estimates for the mean composition of Proton SCLM spread across the spectrum between these two extremes (Table 1, Fig. 1) with mean CaO and Al2O3 contents {approx} 2% (Table 2). The secular evolution in composition shown by Fig. 1 has been interpreted (Griffin et al., 1998Go, 1999aGo) as reflecting a similar evolution in the processes that produce the SCLM.

The estimate of mean Archon SCLM composition given in Table 1 (Gnt-SCLM, Arc_1) is strongly depleted relative to the PUM, with a mean Mg-number of 92·7. The low FeO (6·4 wt %) appears to be characteristic of many Archon xenolith suites, and distinguishes these rocks from low Ca–Al peridotites of younger tectonic settings, including Proton and Tecton xenolith suites (Table 2) as well as ophiolites, abyssal peridotites and island-arc mantle, all of which have mean FeO {approx} 8% regardless of their degree of depletion (Fig. 2; Griffin et al., 1999aGo).


Figure 2
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Fig. 2. Covariation of SiO2, FeO and mg-number [100 Mg/(Mg + Fe)] with Al2O3 in xenolith suites, peridotite massifs and oceanic peridotites. Depletion processes in modern oceanic environments produce residues with constant FeO = 8 ± 1 wt %, and mg-number rises only slowly with increasing depletion. Archean residues have lower FeO and higher mg-number at similar Al2O3 contents; the lack of correlation between FeO and SiO2 shows that the low FeO and high mg-number are not related to high opx/olivine in Archean suites. After Griffin et al. (1999aGo); see this reference for details of data sources. Star shows PUM composition PM_1, Table 2.

 
In Table 2, calculated modal compositions, density and seismic velocities (Vp, Vs) are given for a series of estimated SCLM compositions of different tectonothermal age; average compositions are drawn from Griffin et al. (1999aGo) and this work (see discussion below). Two different thermodynamic databases and solution models appropriate to mantle conditions have been used for the calculation of physical properties (Afonso et al., 2008Go; see the Appendix for details). The modal compositions have been calculated self-consistently by free energy minimization (Connolly, 2005Go) within the system CFMAS (CaO–FeO–MgO–Al2O3–SiO2). Differences in aggregate density as calculated by these two schemes at relevant TPX conditions are insignificant. On the other hand, discrepancies in absolute seismic velocities and modal proportions can become significant for some compositions, although the general response of the system to variations in TPX conditions is identical in both schemes. Parallel computations indicate that the inclusion of minor components such as Na2O and Cr2O3 can significantly modify the stability field of the aluminous phases. However, differences in terms of the aggregates’ bulk properties are negligible given the uncertainties in end-member thermodynamic parameters. Therefore, we have not included these components in the calculations presented here. Calculated values of modes and physical parameters are given for 100 km depth and 800°C, and 200 km depth and 1300°C, corresponding to two points on a typical cratonic geotherm (40 m W/m2), to allow evaluation of the effects of composition on these parameters.

The ‘typical’ Archon SCLM derived from garnet xenocryst data (Table 2, Arc_1) has a high opx/olivine ratio compared with PUM and other xenolith suites and massifs. This is because the algorithms used to relate garnet composition to whole-rock composition (Griffin et al., 1999aGo) are heavily based on the well-studied xenolith suite from the kimberlites of the SW Kaapvaal Craton (Arc_2). However, this high opx/olivine ratio is relatively rare in other xenolith suites (Griffin et al., 1999aGo) and thus should be regarded with caution. Proton and Tecton SCLM, whether estimated from garnet xenocrysts, xenolith suites or orogenic massifs, show lower opx/olivine, and in general the opx/olivine ratio decreases with increasing degree of depletion (decreasing CaO or Al2O3).

Composition is directly reflected in density (Table 1); more depleted rocks have lower density than less depleted ones. The relatively fertile Tecton SCLM is buoyant relative to the underlying asthenosphere when its geotherm is high, but will lose this buoyancy on cooling; it will tend to delaminate, with major tectonic consequences (e.g. Poudjom Djomani et al., 2001Go; O’Reilly et al., 2001Go; Zheng et al., 2006aGo). In contrast, Archon SCLM is buoyant relative to the asthenosphere, and also is highly refractory. Unmodified Archon SCLM therefore is unlikely to delaminate, or to melt extensively, and would be expected to persist even through major tectonic events. However, it could be modified through time by metasomatic processes, as seen in many xenolith suites, and this refertilization will affect its density and its rheology.

The ‘typical’ Archon SCLM compositions (Arc_1, 2, 3; Table 2) are consistent with the available xenolith and xenocryst data, and with seismic data from the SW Kaapvaal Craton (James et al., 2001Go, 2004Go; O’Reilly & Griffin, 2006Go; Larson et al., 2006Go). However, such a composition still presents several problems in terms of geophysical data. Deen et al. (2006Go) pointed out that this composition could only be reconciled with the high shear-wave velocities (Vs) observed in the centres of most cratons by assuming a geotherm significantly cooler (≤30 m W/m2) than most xenolith-derived estimates. Afonso et al. (2008Go), using a more sophisticated approach to the calculation of modes, density and seismic velocity, showed that if this composition is assumed to make up the whole SCLM of a typical craton, the predicted geoid anomaly is more negative than the observed values ({Delta}N {approx} –100), and the predicted elevation is significantly higher ({Delta}E {approx} 2 km). It therefore is relevant to ask if the material on which the compositional estimates are based is representative of ‘typical’ cratonic mantle.


    SEISMIC TOMOGRAPHY: MAPPING THE SCLM
 TOP
 ABSTRACT
 INTRODUCTION
 SECULAR EVOLUTION IN SCLM...
 SEISMIC TOMOGRAPHY: MAPPING THE...
 REFERTILIZATION OF DEPLETED...
 REFERTILIZATION OF DEPLETED...
 DISCUSSION
 APPENDIX
 REFERENCES
 
Rapid improvements in the quality and resolution of global and regional seismic tomography images are providing new insights into the nature of the SCLM. The global images (e.g. Fig. 3) show that large cratonic areas typically are underlain by high-velocity roots >200 km thick; these are separated by steep gradients from the SCLM beneath mobile belts and rift zones, which has much lower velocities.


Figure 3
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Fig. 3. Seismic tomography (Vs) image of Africa at 100–175 km depth; seismic tomography by S. Grand and BHP Billiton [see Deen et al. (2006Go) for details]. Scale bar shows per cent deviation from PREM model. ‘Hot’ colours (West African, Congo cratons) represent highest Vs (4·79–4·81 km/s), and ‘cold’ colours (e.g. East Africa Rift) lowest Vs (c. 4·1 km/s). Highest Vs in the Kalahari Craton decreases toward the SW, from c. 4·75 km/s beneath parts of Zimbabwe to c. 4·68 km/s in the SW Kaapvaal Craton.

 
Seismic velocity variations in the SCLM commonly are interpreted in terms of temperature differences (variations in the local geotherm). However, this approach is inadequate, because it ignores important links between thickness, composition and geotherm in the SCLM worldwide. The estimated increase in fertility between Archon and Tecton SCLM corresponds to an increase in density (taken at 100 km depth) of 2· 0–2·3%, and a decrease in Vs of 1· 0–1·4% (Table 2). These compositional variations alone can account for c. 20% of the observed range in Vs at depths of 100–175 km beneath the continents (Griffin et al., 1999aGo). The typical thickness of the depleted SCLM beneath Archons is c. 200 km, resulting in low geotherms; the fertile SCLM beneath Tectons is typically <100 km thick and characterized by high geotherms [see review by O’Reilly & Griffin (2006Go) and references therein]. Thus greater lithospheric fertility is strongly correlated with higher temperatures and thinner SCLM, all of which lead to lower Vs, whereas greater lithospheric depletion is correlated with low geotherms, thicker SCLM and hence higher Vs. These correlations between composition, thickness and thermal state reinforce one another to produce rapid lateral changes in density and seismic velocity; they are the key to interpreting the seismic tomography of the SLCM (Deen et al., 2006Go).

Comparisons of seismic tomography with the thermal and compositional data from xenolith and xenocryst suites provide a basis for using the tomography to map the composition and thermal state of the SCLM. In areas with a relatively high density of mantle-petrology data, such as southern Africa, there are broad correlations between seismic velocity, the tectonothermal age of the overlying crust, and the composition and history of the SCLM (Deen et al., 2006Go; O’Reilly & Griffin, 2006Go). The highest-velocity SCLM underlies the cores of the Archons (Fig. 3); lower Vs is seen beneath areas where Proterozoic events have affected the crust and mantle (Proton/Archon). These include tectonically reworked areas on the margins of the cratons, or areas affected by major intraplate magmatism (e.g. the Bushveld Complex). Protons, reworked Protons (Tecton/Proton) and Tectons have still lower Vs at the level illustrated in Fig. 3, and these lower velocities can be modelled as a combination of more fertile compositions and somewhat higher geotherms (Deen et al., 2006Go).

In detail, kimberlites in southern Africa and other cratons tend to be concentrated at the margins of high-velocity SCLM volumes, rather than within them (Griffin et al., 2003Go; O’Neill et al., 2005Go; Begg et al., 2008Go). This is illustrated in Fig. 4, where the locations of kimberlites are plotted on the detailed Vs tomography derived from the Kaapvaal Seismic Project (Fouch et al., 2004Go). It is especially notable that the kimberlites that have provided some of the best-studied xenolith and xenocryst suites are located on steep velocity gradients along the margins of both high- and low-Vs features. The Kimberley and Prieska areas each lie along a marked low between two highs. The Premier and related pipes lie on the edge of a large low-Vs area marking the centre of the Bushveld intrusion; the Northern Lesotho kimberlites also lie on the edge of a pronounced low-Vs feature. The Jwaneng and Orapa kimberlite fields lie well off the high-Vs areas.


Figure 4
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Fig. 4. Detailed Vs tomography at 200 km depth across the SW part of the Kalahari craton of southern Africa (Fouch et al., 2004Go), with locations of kimberlites (Faure, 2006Go). Circles and oval mark locations of well-studied xenolith and xenocryst suites. Lim, Limpopo Belt; Prem, Premier (Cullinan) Mine; NL, northern Lesotho; Kimb, Kimberley area; Or, Orapa area; Jwa, Jwaneng area; Prieska area lies across the craton margin. These suites clearly do not sample the highest-velocity parts of the SCLM root.

 
Vs calculated from mantle samples can reproduce the observed average seismic velocities beneath the sampling localities (James et al., 2004Go; Larson et al., 2006Go; O’Reilly & Griffin, 2006Go), suggesting that the xenoliths may give a representative sample of the SCLM beneath the kimberlite pipes. However, Fig. 4 shows that the xenolith and xenocryst suites on which most estimates of Archon SCLM composition are based do not sample the highest-Vs parts of this cratonic root. The global seismic tomography images (Fig. 3) show that such high-Vs material dominates the cratonic SCLM, whereas the kimberlites have sampled lower-Vs SCLM around the edges of the highest-Vs volumes (Fig. 4; Begg et al., 2008Go). Figure 3 also shows that even the high-Vs parts of the Kaapvaal Craton actually have lower mean Vs than the main part of the Kalahari Craton to the NW, or the cores of the larger Congo and West African cratons. These observations suggest that the best-studied cratonic xenolith and xenocryst suites are seriously biased toward low-Vs SCLM that is not representative of the bulk of the cratonic roots.


    REFERTILIZATION OF DEPLETED SCLM: EVIDENCE FROM XENOLITHS/XENOCRYSTS
 TOP
 ABSTRACT
 INTRODUCTION
 SECULAR EVOLUTION IN SCLM...
 SEISMIC TOMOGRAPHY: MAPPING THE...
 REFERTILIZATION OF DEPLETED...
 REFERTILIZATION OF DEPLETED...
 DISCUSSION
 APPENDIX
 REFERENCES
 
Most studies of cratonic garnet peridotite suites have implicitly or explicitly regarded the range of garnet and clinopyroxene contents as reflecting different degrees of melt extraction from a fertile protolith. Cox et al. (1987Go) recognized that in garnet lherzolite xenoliths, garnet and clinopyroxene commonly are spatially related to one another, and suggested that both phases had been exsolved from high-T Al-rich opx. However, these relationships could also reflect metasomatic introduction of garnet and cpx into a depleted harzburgite, effectively refertilizing a depleted residue.

Xenolith and xenocryst data (e.g. Griffin et al., 2003Go; Hoal, 2004Go; Simon et al., 2003Go, 2007Go; references therein) suggest that the SCLM in Proton/Archon areas has been extensively refertilized by metasomatic processes, with the addition of Fe, Ca and Al to originally depleted protoliths. Several types of process can be recognized through their fingerprints in xenoliths and garnet xenocrysts. Diamonds and their associated subcalcic garnets probably represent metasomatism of depleted harzburgites by reduced asthenosphere-derived fluids (Malkovets et al., 2007Go). The high opx/olivine seen in many peridotite xenoliths from the SW part of the Kaapvaal Craton, and sporadically in some other suites, appears to reflect the introduction of Si-rich fluids, possibly related to subduction (e.g. Bell et al., 2005Go). Clinopyroxene, lherzolitic garnet and phlogopite have been introduced through metasomatism by low-volume fluids in the kimberlite–carbonatite spectrum. In the Kaapvaal Craton, this style of metasomatism is especially pronounced at depths of 90–150 km, accompanied by an overall reduction in Mg-number and calculated Vs (Fig. 5). The well-studied MARID (Mica–Amphibole–Rutile–Ilmenite–Diopside) metasomatism may be a subset of these processes (Grégoire et al., 2002Go; references therein). The progressive modification of harzburgite to lherzolite through these processes, accompanied by oxidation, has been demonstrated by studies of zoned garnets in xenoliths (Griffin et al., 1999bGo; McCammon et al., 2001Go) and by differences between the matrix minerals of diamond-bearing xenoliths and the corresponding phases included in the diamonds (e.g. Stachel et al., 1998Go; Creighton et al., 2007Go; references therein).


Figure 5
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Fig. 5. (a) Chemical tomography section, modified after O’Reilly & Griffin (2006Go), showing the distribution of garnet-bearing rock types with depth in a composite section of the SCLM based on data from Group 1 kimberlites of the Kimberley area, South Africa (see Fig. 4 for location). (b) Variation with depth of median XMg in olivine; one curve is calculated from garnet xenocryst data following the method of Gaul et al. (2000Go); the other is based on measured olivine compositions in 75 garnet-bearing xenoliths from the Wesselton mine, Kimberley area. A mean value for olivine in high-T sheared lherzolite xenoliths is shown for comparison. (c) Variation with depth of Vs, as estimated from whole-rock modes and mineral compositions. One curve is calculated from whole-rock compositions estimated from garnet xenocrysts (Griffin et al., 1999aGo); the other is based on garnet-bearing xenoliths (James et al., 2004Go).

 
A distinctive style of metasomatism is represented by the sheared high-T lherzolite xenoliths found in many kimberlites. Temperatures of 1200–1400°C suggest that many of these are derived from near the base of the SCLM. Strongly zoned garnets and modal correlations between garnet and clinopyroxene suggest that metasomatism has introduced relatively large volumes of both phases shortly before the xenoliths were entrained in the kimberlites (Smith & Boyd, 1987Go; Griffin et al., 1989Go; Smith et al. 1993Go). This metasomatism, which appears to be related to the infiltration of mafic melts (Smith & Boyd, 1987Go), also leads to a drastic lowering of Mg-number toward the base of the SCLM (Fig. 5b).

The effects of metasomatism on seismic velocity, related to the lowering of Mg-number and the increased modal abundance of garnet, pyroxene and phlogopite, are significant. The overall effect, when combined with increasing temperature, is to produce a strong decrease in Vs with depth within the cratonic SCLM (Fig. 5c). Vp is also affected but shows less of a decrease with depth (James et al., 2004Go; O’Reilly & Griffin, 2006Go). We therefore interpret the lowered Vs in the SCLM beneath areas such as Kimberley and Northern Lesotho as reflecting the strong metasomatic refertilization of the SCLM evidenced in xenoliths and xenocrysts from these kimberlite pipes.

Simon et al. (2003Go, 2007Go) have suggested that garnet and clinopyroxene were introduced into the root of the Kaapvaal craton at around 2·9 Ga, but that most clinopyroxene in low-T granular xenoliths was introduced shortly before kimberlite intrusion (<200 Myr ago). Xenolith and xenocryst data from older kimberlites scattered across the craton (including the Limpopo Belt) show more depleted SCLM, and suggest that the metasomatic modification of the cratonic root has been especially intense over the last 200 Myr (Griffin et al., 2003Go). However, kimberlites have intruded the Kaapvaal craton in many episodes through time [1700 Ma, 1200 Ma, 500 Ma, 200 Ma, 120–100 Ma, 90–80 Ma, and down to 30 Ma (Batumike et al., 2008)], and other magmatic episodes such as the intrusion of the Bushveld Complex (2050–2060 Ma) and the Karoo volcanism (c. 178 Ma) have seriously modified the root (Griffin et al., 2003Go; Hoal, 2004Go). It seems probable that the distribution of high- and low-Vs volumes (Figs 3 and 4) reflects the cumulative effects of such magmatic episodes, in which magmas have been focused by pre-existing weaknesses at the boundaries between major lithospheric blocks (Begg et al., 2008Go).

These metasomatic processes can explain the observed range in Vs without the need to invoke large temperature differences over short lateral distances. This mechanism is consistent with the limited range of palaeogeotherms calculated for xenolith and xenocryst suites from Cretaceous kimberlites across the Kalahari Craton (Griffin et al., 2003Go; James et al., 2004Go; Deen et al., 2006Go). We therefore interpret most of the variation in Vs across this area shown in Fig. 4 as reflecting the metasomatic modification of the cratonic root through time.


    REFERTILIZATION OF DEPLETED SCLM: EVIDENCE FROM MASSIF PERIDOTITES
 TOP
 ABSTRACT
 INTRODUCTION
 SECULAR EVOLUTION IN SCLM...
 SEISMIC TOMOGRAPHY: MAPPING THE...
 REFERTILIZATION OF DEPLETED...
 REFERTILIZATION OF DEPLETED...
 DISCUSSION
 APPENDIX
 REFERENCES
 
Examples of this refertilization process also are provided by detailed studies of orogenic peridotite massifs. The Proterozoic continental crust of the Baltic Shield, which was subducted to considerable depths beneath Laurentia during the Caledonian orogeny (Griffin & Brueckner, 1980Go), contains many large peridotite massifs with well-preserved internal structures (Brueckner & Medaris, 1998Go, 2000Go). Preservation of majoritic garnet and diamond indicates that the peridotite bodies were derived from depths up to 200 km (van Roermund et al., 2000Go, 2001Go; Brueckner et al., 2002Go; Spengler et al., 2006Go; Scambelluri et al., 2008). They are interpreted as fragments of the Laurentian SCLM, entrained in the crust of the Baltic plate during subduction and exhumation. In the Almklovdalen massifs described by Beyer et al. (2004Go, 2006Go; references therein) small volumes of garnet lherzolite, typically interbanded with eclogite and garnet pyroxenite, occur within large volumes of highly depleted dunite/harzburgite, which are extensively mined for refractory material (Fig. 6; Table 2, Arc_5,6). Whole-rock Re–Os analyses show that the dunite/harzburgite is Archean (c. 3 Ga), whereas in situ Re–Os analyses show that the garnet lherzolites contain both Archean and Proterozoic sulfides (Beyer et al., 2004Go), consistent with Proterozoic gnt–cpx Sm–Nd ages on the same rocks (Mearns, 1986Go; Jamtveit et al., 1991Go).


Figure 6
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Fig. 6. Compositions of dunites and garnet peridotites from the Archean Almklovdalen peridotite massif, western Norway (after Beyer et al., 2006Go). The ‘Oceanic Depletion Trend’ of Boyd (1989Go) shows expected compositions of residues after progressive melt extraction from fertile Primitive Mantle compositions. The Norwegian garnet peridotites reflect Proterozoic refertilization of the Archean dunites. This enrichment trend mimics the oceanic trend, but runs in the opposite direction. The difference between the mean compositions of harzburgites (Pr_5; Table 2) and lherzolites (Pr_6; Table 2) from the Lherz massif reflects a similar refertilization process (Le Roux et al., 2007Go).

 
The garnet peridotites are interpreted as zones of Proterozoic metasomatic refertilization, related to the intrusion of mafic melts represented by the eclogites and pyroxenites. This refertilization process has added Fe, Ca and Al to the peridotites, crystallizing garnet and clinopyroxene at the expense of olivine and orthopyroxene. It produces chemical trends (Fig. 6) that parallel the ‘depletion trend’ illustrated in Fig. 1, but run in the opposite direction; these fertilization trends reproduce much of the compositional range seen in garnet lherzolite xenoliths from Archon and Proton settings.

Such refertilization has been recognized previously in numerous studies of European orogenic peridotite massifs and ophiolite complexes, and ascribed to the infiltration of melts, usually in an oceanic setting (e.g. Rampone et al., 1994Go; Piccardo et al., 2004). In the well-studied Ronda massif, refertilization of a depleted protolith has been linked to heating, partial melting and melt migration on a scale of kilometres, related to asthenospheric upwelling (e.g. Bodinier, 1988Go; van der Wal & Bodinier, 1996Go; Garrido & Boudinier, 1999Go; Lenoir et al., 2001Go). More recently, Le Roux et al. (2007Go) have demonstrated that the type lherzolite (olivine + opx + cpx + spinel) from the Lherz massif in the Pyrenees (Pr_6, Table 2) was produced by the metasomatic refertilization of a refractory harzburgite (ol + opx ± spinel; Pr_5, Table 2) along a sharply defined front that cross-cuts older structures. Like the Norwegian example, this refertilization process mimics the ‘depletion trend’ defined by CaO and Al2O3 contents (Fig. 6).

The dunite/harzburgite protoliths of the Norwegian peridotites are highly magnesian (Mg-number = 0·93), with high olivine contents. They do not show the high opx/olivine commonly regarded as typical of Archon SCLM (Table 2). Similar highly depleted peridotites have been reported as xenoliths in basalts from East and West Greenland (Bernstein et al., 1998Go, 2006Go, 2007Go). The East Greenland xenolith suite (Bernstein et al., 1998Go) shows a range of Al contents, with a sharp drop in mean Mg-number and a rise in Cr above 0·6 wt % Al2O3. We interpret this as evidence of refertilization processes similar to those observed in the Norwegian peridotites; the average (Arc_7) shown in Table 2 considers only samples with <0·6% Al2O3. Highly depleted rocks (dunites ± chromite ± garnet) make up the upper layer (<140 km depth) of the SCLM beneath the Slave Craton of northern Canada (Pearson et al., 1999Go; Aulbach et al., 2006Go). Such depleted compositions (garnet-free harzburgites to dunites) do occur in cratonic xenolith suites (e.g. Bell et al., 2005Go; Rudnick et al., 1993Go; Table 2, Arc_8), but are far less well-studied than the more fertile varieties.

The Norwegian garnet peridotites are similar in composition to estimates of Proton SCLM (Table 2, Pr_1, 2, 3) and the high-T sheared peridotites found in many kimberlites (Table 2, Arc_4). The microstructures and compositions of these sheared xenoliths reflect the infiltration of melts into depleted protoliths, adding Ca, Al, Fe, Na and Ti (Smith & Boyd, 1987Go; Smith et al., 1993Go). These comparisons suggest that ‘typical Proton’ SCLM could be produced by the metasomatic refertilization of originally more depleted Archean protoliths.


    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 SECULAR EVOLUTION IN SCLM...
 SEISMIC TOMOGRAPHY: MAPPING THE...
 REFERTILIZATION OF DEPLETED...
 REFERTILIZATION OF DEPLETED...
 DISCUSSION
 APPENDIX
 REFERENCES
 
Secular evolution or abrupt change?
The recognition that metasomatic refertilization can produce the wide range of compositions seen in both Archean garnet peridotites and Proton SCLM has led us to re-examine the crustal history of the areas for which estimates of SCLM composition are available (Fig. 7).


Figure 7
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Fig. 7. Secular evolution of the SCLM. (a) More detailed classification of localities shown in Fig. 1, in terms of tectonothermal age and prehistory; P/A represents areas with Archean crust reworked in Proterozoic time; T/P, Proterozoic crust reworked in Phanerozoic time. (b) Reinterpretation of the ‘secular evolution’ trend; primary Archon SCLM (Arc_9; Table 2) is highly depleted, and its refertilization has produced most ‘Proton’ (P/A) SCLM. However, some juvenile Protons (mainly Proterozoic mobile belts) are underlain by relatively fertile SCLM, produced by moderate depletion of primitive mantle compositions, as in most Tecton areas.

 
This examination shows that most Proton localities in which the mean SCLM has ≤2· 5% CaO and Al2O3 (Fig. 5; Proton/Archon) contain clear geochronological and isotopic evidence for the Proterozoic reworking of Archean crust. Studies of lower-crustal xenoliths and xenocrystic crustal zircons in volcanic rocks are increasingly providing evidence that the lower crust beneath both Archons and Protons may be significantly older than the bulk of the upper crust (e.g. Zheng et al., 2004Go, 2007Go). An example is the Yangtze craton; the exposed upper crust is dominated by Proterozoic rocks with scattered Archean remnants, but the lower crust sampled by lamproite intrusions is dominantly Archean (Zheng et al., 2006bGo). Several localities for which the mean SCLM composition lies between 3 and 3· 5% CaO or Al2O3 (e.g. Teiling, North China) represent Phanerozoic reworking of Proterozoic to Archean crust (Fig. 7a; Tecton/Proton), and Phanerozoic thermal events can be inferred to have affected the SCLM as well. Re–Os studies of sulfide populations in mantle xenoliths from some of these areas may reveal still older precursors. Within the Archon suites, the least depleted example is provided by the well-studied xenolith and xenocryst suites from the Group 1 kimberlites of the SW Kaapvaal craton, where the evidence for metasomatic refertilization is most compelling (Griffin et al., 2003Go; Simon et al., 2003Go, 2007Go).

Rather than a secular evolution in the processes that have produced the SCLM, the data appear to favour a dichotomy in process (Fig. 7b). On the one hand, primitive Archon SCLM may be represented by the most depleted examples, such as the Norwegian peridotites. Metasomatic refertilization of these refractory protoliths over time, and especially during episodes of subduction, collision and magmatism, could produce the range of composition seen in Archon SCLM and, eventually, the more fertile Proton SCLM. On the other hand, the moderate depletion of material similar to the Primitive Upper Mantle may have produced juvenile SCLM with 2· 5–4% Al2O3, as seen beneath some Proterozoic terrains (e.g. Gao et al., 2002Go), and most Tectons (Griffin et al., 1999aGo; Xu et al., 2000Go; Tables 1 and 2).

Estimated composition of the ‘pristine Archon’ SCLM
We interpret the seismic tomography data as showing that the upper 100–150 km of the SCLM beneath large cratonic areas (e.g. Africa, Siberia, North America; Deen et al., 2006Go) is more strongly depleted than the garnet lherzolites that previously have been accepted as representative of the Archean SCLM. Some estimates of Archon SCLM composition derived from garnet xenocryst data are depleted (down to 0· 5% Al2O3; Fig. 1), but even these estimates can only define the composition of the garnet-bearing portion of the SCLM. If much of the garnet in these rocks is metasomatic, the original SCLM must be even more depleted. To understand the original nature of the Archon SCLM, and the bulk composition of the major cratonic roots, we must try to extrapolate back to the less metasomatized protoliths.

A better estimate of the composition of the depleted Archean SCLM can be derived by combining data from the Norwegian massifs and the most depleted (least refertilized?) xenoliths from Greenland (Bernstein et al., 1998Go, 2006Go, 2007Go), the Slave Province (Pearson et al., 1999Go; Aulbach et al., 2006Go) and Tanzania (Rudnick et al., 1993Go). Several of these suites show a strong negative correlation between Al and Mg-number below 0·6–1% Al2O3 (Fig. 2), which may reflect either progressive depletion or metasomatic refertilization. We therefore have selected samples with <0·6% Al2O3 to construct a proposed average composition (Arc_9 in Table 2). It has lower Al, Si and Ca than previous estimates of the Archean SCLM, and higher MgO. We suggest that this composition is representative of the ‘pristine’ Archean SCLM, and that it extends to considerable depths in the cores of major cratons, where it is poorly sampled by kimberlites and other volcanic rocks. Bernstein et al. (2007Go) have suggested that a similar, though slightly less depleted rock type (Mg-number = 92·8) makes up much of the shallow SCLM worldwide. The oldest known kimberlites, the 1· 8 Ga Brockman Creek dykes in the Pilbara Craton of Australia, have sampled extremely depleted roots, consisting largely of magnesian harzburgites (Wyatt et al., 2002Go; mean Mg-number of olivine = 93·3), and these also may be representative of ‘pristine Archon’ SCLM.

The proposed dunite/harzburgite composition (Arc_9), like many Archon xenolith suites, is also remarkably low in Fe, and this makes it essentially unique to the Archean SCLM. As noted above, peridotites (ranging from lherzolite through harzburgite to dunite) from modern oceanic environments have nearly uniform Fe (FeOT {approx} 8 ± 1%; Fig. 2), even at the highest degrees of depletion. Some Archon xenoliths, mainly from the SW Kaapvaal craton, have high opx/olivine ratios, but the low FeO contents are independent of Si content. Low FeO thus is not related to the metasomatic introduction of opx (Bell et al., 2005Go), but appears to be a fundamental primary property of Archon SCLM.

The proposed ‘pristine’ Archon SCLM composition, although significantly more depleted than the earlier estimates, has a similar density, but a noticeably higher Vp and Vs (Table 2). The differences in density and seismic velocity reflect the lower opx/olivine of the new estimate. Assuming cratonic geotherms similar to those observed in many kimberlite-borne xenolith suites, this composition will yield the high seismic velocities observed beneath the cratonic cores (Fig. 3; Table 2). Afonso et al. (2008Go) have demonstrated that a cratonic SCLM in which the upper 100–150 km consists of this highly depleted composition, and the lower part becomes progressively more fertile with depth (see Fig. 5b), produces a geoid anomaly within the observed ranges, a mean elevation of 400–500 m, and a velocity–depth profile that matches that of typical cratonic regions.

Origin of the depleted Archean SCLM
Experimental studies of the progressive melting of pyrolite compositions (e.g. Walter, 1998Go, 1999Go; Herzberg, 1999Go) allow estimates of the depth and degree of melting represented by possible residual compositions. Comparisons with these experimental studies indicate that the ‘pristine Archean’ dunite/harzburgite composition (Arc_9) proposed here represents the residue of >50% melting at pressures around 5 GPa (Fig. 8).


Figure 8
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Fig. 8. Comparison of SCLM compositions with residues produced by melting of a fertile peridotite at pressures from 2 to 7 GPa (c. 60–220 km depth); grey field represents abyssal oceanic peridotites (after Walter, 1998Go). Data from Table 2; A, Archon SCLM estimates; P, Proton SCLM estimates; T, Tecton SCLM estimates. Our preferred estimate of the primary Archon SCLM composition (A9), and the Norwegian and Greenland dunite/harzburgites (A5, A7), would be generated by high-degree melting at pressures ≥5 GPa.

 
However, this approach can be applied only to melt residues; the effects of metasomatic refertilization will produce spurious results. Thus the average compositions derived from Kaapvaal xenoliths (Arc_2) give very high estimated pressures (>7 GPa), as a result of their high opx/olivine ratios. We regard these high opx contents as a localized phenomenon, related to deep-seated metasomatism. As noted above, this high opx/olivine ratio is propagated into the SCLM composition derived from garnet xenocrysts (Arc_1). The harzburgite protoliths of the Lherz massif (Pr_5) yield reasonable pressures of 3–4 GPa at <40% melt extraction, whereas the metasomatic lherzolites give higher P estimates that are inconsistent with their spinel-facies mineralogy. Similarly, the high-T sheared lherzolite xenoliths from Kaapvaal Craton kimberlites (Arc_4) give pressures of 2 GPa, which are inconsistent with PT estimates derived from mineral equilibria (typically 1200–1400°C, 4–6 GPa). The metasomatic garnet lherzolites within the Norwegian dunite/harzburgite massifs yield pressures of 3–4 GPa, in the lower range of the PT estimates for the garnet-bearing assemblages based on mineral equilibria (Brueckner & Medaris, 1998Go). This agreement may reflect the conditions at which metasomatic refertilization of the dunites occurred, or it may be a coincidence; in either case, the estimated pressure cannot reflect a depth of melt depletion.

We suggest the same may be true of the lower P suggested by the composition of Proton SCLM (Pr_1, 2). However, the lower pressures calculated for Tecton garnet and spinel peridotites may reflect an origin through modern plate-tectonic processes, with depletion beneath mid-ocean ridges and island arcs.

Several studies (e.g. Canil, 2004Go; references therein) have used modelling of major- and trace-element data to argue that cratonic xenoliths retain a signature of melt depletion at shallow depths, and that the cratonic SCLM has been built up by the stacking of oceanic slabs beneath pre-existing continents. However, we suggest that this approach produces misleading results, because the cratonic xenolith sample (as represented in the literature) is dominated by rocks that are not simple residues from partial melting. They are the products of metasomatic refertilization and thus cannot be compared with experimentally produced residues or melting trends.

The data from the orogenic peridotite massifs show that the refertilization processes raise the levels of all commonly accepted measures of fertility or depletion, including the large ion lithophile elements, heavy rare earth elements (including Y and Yb), high field strength elements, and ‘mildly incompatible’ elements such as V, Ga and Cr. For example, in the refertilized Norwegian peridotites, all of these elements show strong positive correlations with whole-rock CaO, FeO and Al2O3 contents, whereas Ni and Co contents decrease with increasing CaO and Al2O3 (Beyer et al., 2006Go). These correlations indicate that it is impossible to ‘see through’ such metasomatic refertilization, and to use individual elements, groups of elements or element ratios to derive the conditions under which the protoliths of these rocks were formed. The best guide to formation conditions thus will be found in the most strongly depleted, least refertilized rocks.

The high Cr/Al of the harzburgitic garnets and chromites found as inclusions in diamond and in some diamond-bearing xenoliths is commonly advanced as evidence for the low-P origin of cratonic SCLM, because experimental melting studies have failed to produce such signatures at high P (e.g. Kesson & Ringwood, 1989Go; Kelemen et al., 1998Go; Stachel et al., 1998Go; Canil, 2004Go; Bernstein et al., 2007Go). However, this high-Cr-number signature is also readily explained by metasomatic processes. Malkovets et al. (2007Go) have argued that the depth distribution of diamond, subcalcic garnet and chromite as sampled by kimberlites reflects the formation of both diamonds and G10 garnets by a metasomatic redox process that can be expressed schematically as Opx (Ca, Al) + chromite (Cr, Al, Fe3+) + CH4 (in asthenosphere-derived fluids) -> C (diamond or graphite) + H2O + garnet (high-Cr) + Opx (low-Ca, Al) + chromite (high-Cr-number; Fe2+). This reaction is consistent with other models for diamond formation by oxidation of reduced asthenosphere-derived fluids (e.g. Maruoka et al., 2004Go). Thus high Cr-number in spinel or garnet can be explained as a metasomatic signature produced in the deep lithosphere, and is not evidence for a low-P origin for the protoliths of cratonic SCLM. It should be noted that single depleted peridotite xenoliths from kimberlites and basalts may have Cr2O3 ranging from <0·1 to >2· 0%, and Cr-number ranging from 0·2 to 1 (Bernstein et al., 1998Go, 2006Go; Griffin et al., 1999aGo), probably reflecting modal sorting of pyroxene, olivine and spinel. The estimated Cr2O3 content of the Arc_9 composition therefore is difficult to constrain within a factor of two.

We suggest that the original Archean SCLM is best represented by a strongly depleted dunite/harzburgite composition (Arc_9; Table 2) that formed by high-degree partial melting at pressures ≥5 GPa. This high-P melting may have begun in rising plumes or mantle upwellings, producing the low FeO contents characteristic of Archean SCLM (Fig. 2). Bernstein et al. (2007Go) have suggested that this melting continued to the point of exhaustion of orthopyroxene in the residue, whereas our estimated composition would allow the retention of c. 10% opx. The positive correlation between Al and Cr in some depleted Archean xenolith suites has been cited as an argument for the exhaustion of both spinel and garnet during the melt extraction (Griffin et al., 1999aGo), implying that spinel may later have exsolved from high-T opx during cooling. However, a later metasomatic enrichment in both elements cannot be ruled out as the cause of this correlation.

The dichotomy between Archean processes and those that formed the younger SCLM is illustrated by the data from the Lherz massif (Le Roux et al., 2007Go). Although the primitive harzburgite protolith (Pr_5; Table 2) has Al and Ca contents lower than those of many Archean xenolith suites (see Table 1), it has the FeO content (8 ± 1%) characteristic of all estimates of Proton and Tecton SCLM, abyssal peridotites and xenoliths from arc-related mantle, regardless of their degree of depletion. This dichotomy strongly suggests that the processes that produced the low-Fe Archean SCLM have not operated since the end of the Archean.

Continental crust and the SCLM
Thick sections of highly depleted Archon SCLM are buoyant relative to the convecting mantle on typical cratonic geotherms (Poudjom Djomani et al., 2001Go). Its anhydrous composition will give the Archon SCLM a high degree of rigidity (e.g. Afonso & Ranalli, 2004Go), and both factors will help it to survive even major tectonic processes. Metasomatism may decrease its buoyancy and viscosity, especially in the deeper lithosphere, but most Proton SCLM compositions will remain buoyant relative to the asthenosphere (Poudjom Djomani et al., 2001Go; O’Reilly et al., 2001Go). We therefore suggest that many Proterozoic shields, particularly in areas where an Archean crustal prehistory can be detected in the upper or lower crust, have SCLM roots that were generated in Archean time.

If this interpretation is correct, it suggests that the area (volume) of continental SCLM has remained relatively constant at least since the end of the Archean. This buoyant SCLM would have provided ‘life rafts’ on which Archean crust could be preserved from recycling. Detailed geochronological and geochemical studies of crustal xenoliths (e.g. Zheng et al., 2004Go, 2006aGo, 2007Go) suggest that this ancient crust has been extensively ‘resurfaced’ in many areas, and is still preserved at depth. If the high-velocity SCLM beneath large areas of the present continents (e.g. Deen et al., 2006Go) is in fact relict Archean SCLM, then Archean crust probably is similarly widespread, and thus is more voluminous than commonly recognized. Measurements of crustal growth rates based on surface geology therefore would require revision to allow for a higher rate of crustal growth in the early Archean. This has major implications for mechanisms of crustal growth, recycling and lithosphere evolution (e.g. Armstrong, 1991Go), and for global geodynamic and geochemical models.


    APPENDIX
 TOP
 ABSTRACT
 INTRODUCTION
 SECULAR EVOLUTION IN SCLM...
 SEISMIC TOMOGRAPHY: MAPPING THE...
 REFERTILIZATION OF DEPLETED...
 REFERTILIZATION OF DEPLETED...
 DISCUSSION
 APPENDIX
 REFERENCES
 
We have computed stable assemblages and all their relevant properties by a free energy minimization procedure [see details given by Connolly (2005Go) and Afonso et al. (2008Go)] within the system CFMAS (CaO–FeO–MgO–Al2O3–SiO2). These five major oxides make up more than 98% of the Earth's mantle, and therefore they are an excellent starting basis to model mantle phase equilibria. Two thermodynamic databases were employed: one is based on the work of Holland & Powell (1998Go), as updated by Connolly (2005Go); the other is that of Stixrude & LithgowBertelloni (2005Go). Solution models adopted for these databases are summarized in Table A1, together with their respective notation and formulae.

Properties and modal proportions shown in Table 2 were computed at temperatures and pressures corresponding to 100 and 200 km depth along a 40 m W/m2 conductive geotherm. The latter follows a parameterization of the type P (kbar) = Co(T2) + C1T + C2, where T is temperature in centigrade, Co = 1·786 x 10–5, C1 = 2·742 x 10–2, and C2 = –1·1988.
Table A1: Solution models, and their notation and formulae

Solid solution (HP) Formula Ref. Solid solution (STX) Formula Ref.

Ol Mg2xFe2(1–x)SiO4 1 Ol [MgxFe1–x]2SiO4 4
Opx Mgx(2–y)Fe(1–x)(2–y)Al2ySi2–yO6 2 Opx [MgxFe1–x]2–yAl2ySi2–yO6 4
Cpx Na1–yCayMgxyFe(1–x)yAlySi2O6 2 Cpx Ca1–y[MgxFe1–x]1+ySi2O6 4
Gt Fe3xCa3yMg3(1–xy)Al2Si3O12 1 Gt Fe3xCa3yMg3(1–x+y+z/3)Al2–2zSi3+zO12 4
x + y ≤ 1 x + y ≤ 1
Sp MgxFe1–xAl2O3 1 Sp MgxFe1–xAl2O4 4
Feldspar KyNaxCa1–xyAl2–xySi2+x+yO8
x + y ≤ 1 3 *

HP, Holland & Powell (1998Go); STX, Stixrude & LithgowBertelloni (2005Go). 1, Holland & Powell (1998Go); 2, Holland & Powell (1996Go); 3, Fuhrman & Lindsley (1988Go); 4, Stixrude & LithgowBertelloni (2005Go).

*When using the STX database, the lowpressure Albearing phase is assumed to be pure anorthite.


    ACKNOWLEDGEMENTS
 
The ideas presented here have been developed through many discussions with Jon Hronsky, Lev Natapov, Norman Pearson, Craig O’Neill and Olivier Alard. Steve Grand provided an updated version of his global seismic tomography model and helped us to understand many aspects of its use to investigate the lithosphere. The digital version of Fig. 4 was provided by BHP Billiton. We thank J. Connolly for providing the necessary files and subroutines for the energy minimization calculations (http://www.perplex.ethz.ch/). The manuscript was improved by critical reviews from Doug Smith, Stefan Bernstein and David James. The analytical data were obtained using instrumentation funded by ARC LIEF, and DEST Systemic Infrastructure Grants, industry partners and Macquarie University. This work would have been impossible without the enthusiastic help of the staff of the Geochemical Analysis Unit over many years. The research was supported by ARC and Macquarie University grants to S.Y.O’R. and W.L.G., and collaborative research with industry partners. This is contribution 542 from the ARC National Key Centre for Geochemical Evolution and Metallogeny of Continents (www.es.mq.edu.au/GEMOC).


*Corresponding author. Telephone: +61 2 9850 8954. Fax: +61 2 9850 8943. E-mail: wgriffin{at}els.mq.edu.au


    REFERENCES
 TOP
 ABSTRACT
 INTRODUCTION
 SECULAR EVOLUTION IN SCLM...
 SEISMIC TOMOGRAPHY: MAPPING THE...
 REFERTILIZATION OF DEPLETED...
 REFERTILIZATION OF DEPLETED...
 DISCUSSION
 APPENDIX
 REFERENCES
 
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