Journal of Petrology | Pages |
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The relevance of singular equilibria has been largely recognized in chemical systems of interest for the Earth Sciences. After the early experiments of Konovalov on azeotropic or congruent transformations, Ricci, (1951) exhaustively discussed the fundamentals of singularities. Two types of singularities were recognized: the first, called type m and most relevant, is associated with azeotropic points, and the second, called type k, is related to the intersection of solvi with compositional loops, as occurs in the alkali feldspar system at low pressures (Morse, 1970). Examples and discussion of both type m and type k singular points in igneous systems have been given by
Morse, (1980, e.g. see chapters 16 and 18). The widespread occurrence of singularities in igneous systems is obviously related to the extremely large compositional range of silicate liquids. The well-known concept of the `thermal barrier' or `thermal divide' implies the occurrence of singular equilibria, and their importance in the petrogenesis of granites [e.g. modelled in the binary system kalsilite-silica (Lindsley, 1966)] or basalts [e.g. in the binary system forsterite-silica or in the ternary system forsterite-silica-diopside or forsterite-silica-anorthite (Presnall et al., 1979)] has been widely discussed. In contrast, the significance and implications of singular point nets at subsolidus conditions have been largely undervalued. Although
Korzhinskii, (1963) analysed azeotropic transformations in subsolidus open systems, only recently have applications to metamorphic assemblages and theoretical developments been discussed (Connolly & Trommsdorff, 1991; Abart et al., 1992). A number of lines of evidence, however, suggest the occurrence of singularities in a wide range of metamorphic rocks. In metapelites, Ballèvre et al., (1989) demonstrated that the reversal of the Fe-Mg distribution coefficient between garnet and staurolite in kyanite-bearing assemblages implies degeneracies in an AFM compositional diagram and that, consequently, singular curves are generated. Labotka, (1987) found that Fe-Mg reversals between amphibole and biotite coexisting with plagioclase are responsible for the appearance of garnet-hornblende assemblages in K-bearing mafic schists. Degeneracy along such a so-called `garnet + hornblende isograd' is again necessarily related to a singular point net topology in a P-T diagram. Actually, in mafic systems the large compositional variability of both whole rocks [Mg metagabbros, metabasalts, Fe-Ti metagabbros; see
Mottana et al., (1990)] and mineral phases (amphibole, clinopyroxene, garnet) render singular equilibria very likely. Unfortunately, the application of singular point net analysis to mafic rocks involving such complex solid solutions as amphibole has been hindered by the overwhelming number of possible topologies (see also
Zingg, 1995). Despite the fact that amphibolite-eclogite and blueschist-eclogite facies transformations in mafic rocks are commonly regarded as the result of relatively simple divariant reactions (Ridley, 1984), the possible occurrence of singular equilibria greatly complicates the phase relationships. In this case, phase diagrams which neglect singular equilibria are incomplete and may lead to the incorrect interpretation of natural phase assemblages. Using natural constraints recorded both in the mafic schists of the Nevado-Filábride Complex (SE Spain) and in similar case studies published in the recent literature, this paper intends to show that singular point nets may explain the development of complex sequences of mineral assemblages at blueschist-amphibolite-eclogite transition zones. To demonstrate how the occurrence of singular point nets can be retrieved from chemographic constraints we illustrate in Fig. 1 the basic principles concerning the generation of type m singularities (Ricci, 1951). Phase relationships between four solutions in a binary system are shown as a function of a compositional variable X and two potentials Y(1) and Y(2), e.g. pressure and temperature or chemical potentials for open systems. X(A) and X(B) represent the amount of X in the coexisting phases A and B for a bulk composition (dashed plane) selected in the region of the compositional space where an azeotrope develops. The first Y(2)-X section shows a peritectic reaction where the assemblage B + C forms from A with increasing Y(2). In the second section the congruent transformation A -> B appears as a result of the relative displacement of A, B and C compositions as a function of Y(1). As the singularity is formed (open circle) a point of extremum (a maximum or a minimum) in both potentials is generated, following the generalized Konovalov rule as defined by
Hillert, (1985). The locus of extrema in a Y(1)-Y(2) diagram is a singular curve. Figure 1 also shows schematically differences between singular points, invariant points, and indifferent crossings.
It is expected to be a common behaviour that the location of the azeotropic point in the composition space moves along the Y(1)-Y(2) curve. As a result, the coexisting phases A and B in a fixed bulk composition show a variable composition as a function of progressive variation in azeotropic composition. In the case of a suitable bulk composition (dashed plane in Fig. 1), a reversal in the distribution of X between A and B can be observed, and the condition Kd = 1 represents a `picture' of the extremum in the X(A) vs X(B) plane at fixed Y(1) and Y(2). However, in nature it is very unlikely that we will be able to recover such records of the azeotrope. As an example, Ballèvre et al., (1989) were able to demonstrate a reversal in KdFe/Mg between garnet and staurolite in kyanite-bearing metapelites, after the analysis of a number of assemblages from seven different terrains, but none is a direct observation of the azeotropic mixture. Nevertheless, information from the Kd reversal is sufficient to infer the existence of singular equilibria. In a simple binary system, reversal of element partitioning clearly means that the condition Kd = 1 occurs. However, in more complex systems, `reversals' are not easily represented and attainment of azeotropes should be demonstrated using a matrix form [equations (3)-(5) of
Abart et al., (1992), and
Labotka, (1987)]. To test the existence of singularities in mafic systems, we investigated the Fe2+-Mg partition coefficients between the ferromagnesian mineral phases commonly found in mafic systems (i.e. garnet, amphibole and clinopyroxene). All Fe2+-Mg partition coefficient data from natural and synthetic mafic assemblages suggest that garnet has the highest affinity for Fe2+ for a large range of P-T conditions (Ellis & Green, 1979; Graham & Powell, 1984). According to the data of
Ellis & Green, (1979) and
Graham & Powell, (1984), both KdFe/MgGar/Cpx and KdFe/MgGar/Amph
Because commonly there is a large uncertainty in the pressure estimates for mafic assemblages, the variations of ln[KdFe/MgAmph/Cpx Such systematic variations in Fe-Mg partitioning between amphibole, clinopyroxene and garnet are not only of interest for geothermobarometric applications, but also suggest the possible occurrence of degeneracies. However, as most phases belong to the seven-component model system Na2O-CaO-FeO-MgO-Al2O3-SiO2-H2O (NCFMASH), the attainment of KdFe/MgAmph/Cpx Paragonite-epidote-bearing mafic assemblages occur world-wide in high-pressure metamorphic belts (Syros, Ridley, 1984; Alanya Nappes, Okay, 1989; Sifnos, Schliestedt, 1986, , 1990; Puerto Cabello, Morgan, 1970; Margarita Island, Maresch & Abraham, 1977, , 1981; Bocchio et al., 1996; Naustdal, Krogh, 1980; New Caledonia, Yokoyama et al., 1986; Hubei Province, Zhou et al., 1993; Rociavré, Pognante, 1988; Confin, Heinrich, 1986; Sesia Zone, Reinsch, 1979; Droop et al., 1990; Franciscan Complex, Oh & Liou, 1990; Oh et al., 1991). Synthetic analogues in model basaltic compositions or in simplified systems were obtained by
Heinrich & Althaus, (1988) and Poli (1993).
Assuming water-saturated conditions, the chemographic relations among assemblages coexisting with paragonite + epidote + quartz can be examined on a CaO'-FeO'-MgO' (C'-F'-M') compositional diagram (paragonite-CFM chemography, Fig. 3) after a component transformation following the matrix given in Appendix B. Once the compositions of the saturated phases epidote, mica and plagioclase are fixed to pure clinozoisite, paragonite and albite, respectively, grossular (Gro), pyrope (Py) and almandine (Alm) plot at the three corners of the triangle, and grossular, jadeite and albite coincide. Compositional fields of amphibole, clinopyroxene and garnet solid solutions from paragonite-epidote mafic assemblages are shown in Fig. 3. Mafic bulk compositions ranging from Mg gabbros to Fe-Ti gabbros mostly plot within the field of sodic-calcic amphiboles, in agreement with the large amounts of amphibole which commonly occur in mafic rocks. Amphiboles from assemblages formed at the blueschist-eclogite transition plot close to the Mg glaucophane-Fe glaucophane (Gl-FGl) join, whereas those from assemblages approaching the eclogite-amphibolite transition show a larger compositional variability and higher AlIV and NaA occupancies. As a consequence, most amphiboles from intermediate- to high-pressure terrains plot within a (Gl-FGl)-Mg pargasite-Fe pargasite (Parg-FParg) quadrilateral. Clinopyroxenes from relatively low-temperature eclogites show minor Tschermak substitution and plot near the omphacite-Fe-omphacite (Omph-FOmph) join. In the pressure-temperature region considered, garnets are almandine rich and the grossular proportion commonly does not exceed ~30% (Fig. 3). Consequently, reactions which occur in Ca-rich compositions (rodingites and calc-schists) will not be considered here.
In the Nevado-Filábride Complex, the high-pressure metamorphosed mafic rocks appear in two different metamorphic units. Detailed descriptions and thermobarometric estimates have been given by
Gómez-Pugnaire, (1979), Gómez-Pugnaire & Fernández-Soler, (1987), Puga et al., (1989), Jabaloy et al., (1993), Gómez-Pugnaire et al., (1994), Cámara, (1995), Molina, (1995), López Sánchez-Vizcaíno et al., (1997), and Molina et al. (in preparation). In the lower unit, coronitic and foliated eclogites and omphacitites (garnet-absent mafic rocks) display the paragonite-bearing assemblages Gar + Bar + Omph + Pg + Ep + Q + Ru (Gar-Bar-Omph assemblage) and Bar + Omph + Pg + Ep + Q + Ru (Bar-Omph assemblage), respectively. These assemblages are overprinted by the amphibolite facies assemblage pargasite + albite ± epidote. Barroisite is overgrown by pargasitic amphibole, which coexists with albite in symplectites on clinopyroxene sites, and coronas of epidote + pargasite develop on garnet. In the upper unit, mafic schists show the paragonite assemblages Gar + Bar + Pg + Ep + Q + Ru (Gar-Bar assemblage) and Gar + Bar + Ab + Pg + Ep + Q + Ru + Sph (Gar-Bar-Ab assemblage). Barroisite is overgrown by magnesio-hornblende. Albite appears either as small inclusion-free crystals parallel to the foliation or as large porphyroblasts with abundant inclusions of amphibole, epidote, rutile and sphene oriented parallel to the matrix foliation, suggesting an important post-kinematic albite recrystallization. The bulk compositions of rocks showing Gar-Bar-Ab and Gar-Bar-Omph assemblages are very similar (Table 1), although those which display eclogite assemblages sensu stricto have slightly higher Mg/(Mg + Fe2+) ratios. Table 1. Chemical analyses and CIPW norm of bulk compositions of mafic schists from the Nevada-Filábride Complex.
Microprobe analyses of mineral phases characteristic of Gar-Bar-Omph and Gar-Bar-Ab assemblages are given in Table 2a-d. Mineral analyses were performed using a CAMECA SX-50 by wavelength dispersive (WDS) electron microprobe operating at 15 kV accelerating voltage and 20 nA sample current (University of Granada) using ZAP-PAP correction methods, and an ARL-SEMQ (CNR, Milan) using a ZAF (MAGIC IV) matrix correction. Both natural and synthetic standards were used. Amphibole compositions from Gar-Bar-Omph assemblages (assuming that all cations except Ca, Na, K, and Mn occupy 13 sites) are barroisites and magnesio-katophorites (Leake, 1978) and those from Gar-Bar-Ab assemblages are barroisites. Calcic amphiboles in overgrowths are mainly pargasites and hastingsites in the former and magnesio-hornblende in the latter. Once tremolite, tschermakite, pargasite and glaucophane are chosen as linearly independent components of the amphibole solid solution, the compositional variations of amphibole can be described in AlVI + Fe3+ + 2Ti vs NaM4 and AlVI + Fe3+ + 2Ti - NaM4 vs NaA plots (Fig. 4a and b). In paragonite-albite-bearing assemblages the compositional change toward magnesio-hornblende compositions is produced by a decrease both in NaM4 and in NaA coupled to the increase in AlVI + Fe3+ + 2Ti - NaM4. Pargasite-rich compositions appear in eclogitic assemblages as a result of a decrease in NaM4 and an increase in NaA following the compositional trend of pargasite substitution (Fig. 4b) (see Table 2a). Garnets are invariably rich in almandine and show slightly higher pyrope contents in eclogite-garnet (Table 2b, Fig. 5). In both assemblages the pyrope content increases and grossular content decreases toward the rim. Clinopyroxenes are omphacites with Fe3+ contents ranging from 0·14 a.p.f.u. in the cores to ~0·09 a.p.f.u. in the rims (Table 2c). AlIV is negligible, suggesting low equilibrium temperatures (Carpenter, 1979; Newton, 1986). Mg/(Mg + Fe2+) ratios decrease slightly towards the rim, ranging from 0·77 to 0·72. Epidotes in both assemblages show pistacite contents [Xps = Fe3+/(Fe3+ + Al- 2)] ranging from 0·68 in cores and inclusions in garnets to 0·50 in rims (Table 2d). Albite, sphene and rutile have nearly ideal end-member compositions. Paragonite is also very close to its ideal end-member composition and it contains ~0·1 a.p.f.u. of K in eclogite schists. Table 2a. Representative microprobe analyses of amphiboles (cations based on 23 oxygens). Table 2b. Representative microprobe analyses of garnets (cations based on 12 oxygens). Table 2c. Representative microprobe analyses of clinopyroxenes (cations based on six oxygens). Table 2d. Representative microprobe analyses of epidote (cations based on 12.5 oxygens).
Metamorphic conditions for Gar-Bar-Omph and Gar-Bar-Ab assemblages from the Nevado-Filábride Complex were estimated by multiequilibrium calculations (Molina et al., in preparation) using thermodynamic data from the database of
Holland & Powell, (1990, datafile created 1994), the equation of state for water of
Holland & Powell, (1991), and solution models from
Berman, (1990) for garnet, from
Holland, (1990) for clinopyroxene, and an ideal model for epidote. Assuming, as a first approximation, water-saturated conditions, garnet + clinopyroxene + amphibole + paragonite + epidote equilibrated at 527 ± 57°C and 20 ± 5 kbar, whereas the amphibolite facies assemblage, garnet + albite + paragonite + amphibole + epidote, equilibrated at 565°C ± 94°C and 11 kbar ± 4 kbar. Bulk compositions from paragonite-bearing foliated eclogites and albite-paragonite amphibolites (A and B stars in Fig. 6b) plot in the overlapping Gar-Amph-Cpx and Gar-Amph-Ab phase fields. These chemographic relations suggest three possible reactions:
(where 1 and 2 stand for minerals in paragonite-bearing eclogites and albite-paragonite amphibolites, respectively), but only the crossing tie line reaction (1) unequivocally relates the two assemblages considered. Reactions (2) and (3) simply result from the compositional displacement of garnet, clinopyroxene and amphibole because of the change in the metamorphic conditions, but, as shown in fig. 2 of
Gordon et al., (1991), a correct mass-balance should only include reaction (1) as the actual `equilibrium' responsible for the topological difference between the two assemblages.
The compositional and environmental conditions attained by the Nevado-Filábride mafic rocks are clearly not unique. Similarly, in Margarita Island (Maresch, 1971; Maresch & Abraham, 1981) a continuous transition from Gar-Bar-Ab to Gar-Bar-Omph assemblage was recognized in the metamorphic zones of La Rinconada Group. Such zones were suggested to represent the prograde transition from a non-eclogite to an eclogite-bearing terrain according to
Maresch, (1977). Metamorphic conditions for mafic assemblages in Margarita Island range from 450 to 525°C, at pressures from 11·5 to 13·5 kbar (Maresch & Abraham, 1981). Fe2+/Mg partitioning in the Nevado-Filábride Complex and in Margarita Island are similar (Fig. 6b and c), and a KdFe/MgAmph/Cpx
In contrast, Fig. 6a [e.g. experiments reported by
Poli, (1993)] demonstrates that the disappearance of clinopyroxene when KdFe/MgAmph/Cpx
where, opposite to reaction (1), garnet is expected to be a product of the eclogite to amphibolite facies transformation. Table 3. Stoichiometric coefficients for reactions discussed in the text as deduced from mineral compositions of the Nevado-Filábride Complex (Table 2).
The paragonite-bearing assemblages Gar + Gl + Pg + Cz-Zo + Q (garnet-glaucophane assemblage) and Gar + Gl + Omph + Pg + Cz-Zo + Q (garnet-glaucophane-omphacite assemblage) are common in mafic rocks from high-grade blueschist facies or low-temperature eclogite facies (New Caledonia:
Yokoyama et al., 1986; Clarke et al., 1997; Sifnos Island, Greece:
Okrusch et al., 1978; Schliestedt, 1986; Schliestedt & Okrusch, 1988; Sesia-Lanzo Zone, Italy:
Compagnoni, 1977; Lombardo et al., 1977; Reinsch, 1979; Syros Island, Greece:
Ridley, 1984; Hubei Province, Central China:
Zhou et al., 1993; Alanya Nappe, Turkey:
Okay, 1989; Franciscan Complex, California:
Oh & Liou, 1990; Oh et al., 1991) and have been also reported in intermediate-temperature eclogite facies (Spitsbergen:
Hirajima et al., 1988). These high-grade blueschist assemblages show a continuous transition towards `eclogite' (garnet + omphacite) assemblages. Reinsch, (1979) and
Ridley, (1984) suggested that the continuous divariant reaction
is responsible for the blue-amphibole consumption and the generation of garnet + clinopyroxene eclogitic assemblage. However, it should be noted that reaction (5) is divariant in NCFMASH only if Fe and Mg are independent components of the system. Chemographic analysis of some metamorphic terrains (Fig. 6d) shows that collinearity between sodic or sodic-calcic amphibole, garnet and clinopyroxene is approached (Spitsbergen:
Hirajima et al., 1988), or even attained (Hubei Province:
Zhou et al., 1993, sample HB-6.5) and consequently reaction (5) degenerates to the singular equilibrium
In conclusion, chemographic analysis indicates that the stoichiometries of reactions involving amphibole and clinopyroxene change continuously as a function of pressure, temperature and bulk composition, and may reverse both along the eclogite to amphibolite facies and blueschist to eclogite facies transitions. Phase relationships in paragonite-bearing rocks were discussed by
Maresch & Abraham, (1977, , 1981), Reinsch, (1979), Ridley, (1984), Yokoyama et al., (1986), Hirajima et al., (1988), Okay, (1989) and
Evans, (1990). Yokoyama et al., (1986) established a multi-bundle topology in the NCFMASH system with three invariant points. This topology shows a chlorite-absent invariant point in the high-pressure and relatively high-temperature portion of the grid from which two relevant reactions emanate. A chlorite- and glaucophane-absent reaction accounts for the eclogite-amphibolite transition, in agreement with the mass-balance calculations previously discussed, and a chlorite- and albite-absent reaction accounts for the blueschist-eclogite transition in agreement with the results of
Reinsch, (1979), Ridley, (1984) and
Okay, (1989). Therefore, blueschist-eclogite-amphibolite transitions can be assumed to be produced essentially under chlorite-conservative or chlorite-absent conditions for a wide range of mafic compositions and metamorphic conditions. Below, a topological analysis of this chlorite-absent region is performed, on the basis of the reaction mechanisms previously described. In this section, only the non-degenerate reactions in the NCFMASH system are considered. The topological consequences of degeneracies will be analysed in a subsequent section. Following the chemographic constraints imposed by the Fe/Mg partitioning among the phases, Schreinemakers' analysis of the relationships between amphibole, garnet, clinopyroxene, paragonite, albite, epidote, quartz and water is shown in Fig. 7a. Each of the subsystems NCFASH and NCMASH bears one invariant point, four univariant reactions (the right side is the high-temperature side):
Amph + Cz = Gar + Cpx + Pg + Q + W [Ab]Fe, [Ab]Mg and six divariant assemblages. In the NCFMASH system, univariant reactions become divariant and the non-terminal univariant reaction accounts for the eclogite-amphibolite transition.
The Clapeyron slope of these reactions is qualitatively evaluated (Table 3) using volumes and entropies of mineral phases from the database of
Holland & Powell, (1990, revised 1994) and the equation of state for water of
Holland & Powell, (1991). Ideal mixing models were used for solid solutions. However, stoichiometry is not unique and depends on the amphibole and clinopyroxene composition assumed. To provide a reasonable evaluation of reaction coefficients (Table 3), we use the compositions of mineral assemblages from the Nevado-Filábride Complex (Table 2). In agreement with previous considerations by
Maresch & Abraham, (1981), Yokoyama et al., (1986) and
Poli, (1993), reaction (1€) has a moderate dP/dT slope (12·2 bar/K) and indicates the dominant role of pressure in the transition from eclogite to amphibolite. The variation of Fe2+/Mg ratios in mineral phases from the divariant assemblages consistent with the KdFe/MgAmph/Cpx This topology explains, as a first approximation, the reaction mechanisms which control the stability of high-pressure mafic assemblages. All divariant reactions are responsible for an increase of paragonite abundance with increasing pressure. In contrast, the temperature effect on paragonite stability can be the opposite. If the reaction [Gar], [Cpx] or [Amph] occurs, then an increase in temperature will cause a decrease in paragonite abundance, whereas reaction [Ab] will cause an increase in paragonite. This behaviour is simply related to the negative slope of reaction [Ab]. A further consequence of the arrangement shown in Fig. 7 is a generalized increase of XMg in the coexisting phases with temperature increase (Fig. 7b), but a differential response to pressure. XMg of garnet, amphibole and clinopyroxene will decrease for a pressure increase if the reaction [Gar], [Cpx] or [Amph] operates (Fig. 7c), but will increase in the case of reaction [Ab]. The lowermost loop in Fig. 7b relating amphibole, garnet and clinopyroxene basically corresponds to fig. 5 of
Ridley, (1984). As a consequence, paragonite disappearance in Gar-Amph-Cpx eclogites at high pressure and high temperature (albite-absent) has to be determined by a discontinuous reaction, e.g. a kyanite-bearing reaction, inasmuch as the [Ab] divariant reaction cannot account for paragonite breakdown with increasing pressure or temperature. In contrast, within the albite stability field, paragonite may disappear through a set of continuous reactions. The paragonite-CFM chemography from Fig. 8 shows that two singular reactions are possible in the NCFMASH system when Fe-Mg partitioning data from high-pressure terrains and phase relations previously discussed are considered (Fig. 6):
and
Purely on a topological basis, there are a very large number of possible arrangements. Consequently, we will discuss here only two examples which are feasible from a thermodynamic point of view and which may explain phase relations at the blueschist-eclogite-amphibolite transitions.
The singular univariant equilibrium [Gar]s at the eclogite-amphibolite transition As previously shown, KdFe/MgAmph/Cpx
Cpx + Pg + Q = Gar + Amph + Ab + Cz + W (1")
connects the singular point with the invariant point I in NCFASH (Fig. 9a), at conditions where KdFe/MgAmph/Cpx
Along the singular reaction, an extremum point must arise in T-X-X and P-X-X sections [see fig. 15 in
Hillert, (1985), and
Connolly & Trommsdorff, 1991]. This is represented for the topology of Fig. 9a in the hypothetical three-dimensional phase diagram P-XC'-XM' of Fig. 9b, where Xi = i/(C€ + F€ + M€). The two three-phase triangles Cpx-Amph-Ab degenerate into a straight line at the point of maximum P3. In nature, a bulk-rock chemistry that shows a singular reaction such as [Gar]s is unlikely. Bulk compositions along the join Ab-Cpx-Amph (composition 1 in Fig. 9b) would be required. Nevertheless, a relatively large range of bulk compositions may help us to infer the occurrence of singular curves. Let us consider, as an example, bulk composition 2 in Fig. 9b. At P = P1, amphibole and clinopyroxene coexist, but with increasing pressure the three-phase loop Amph + Cpx + Ab is crossed and albite appears. A further increase in pressure at P = P2 will cause the disappearance of clinopyroxene and occurrence of the assemblage albite + amphibole, which suggest the transformation to amphibolite facies. However, clinopyroxene will appear and albite disappear again as P reaches P3, where the singular reaction occurs and albite will no long coexist with amphibole. Actually, the main feature to be expected in common bulk-rock chemistries is possibly a sequential corona of similar assemblages which should not be ascribed to unusual variations of pressure-temperature conditions, but to loops which are conjugate to singular reaction curves. The singular univariant equilibrium [Ab]s at the blueschist-eclogite transition
Reinsch, (1979), Ridley, (1984), Yokoyama et al., (1986) and
Okay, (1989) indicated that the divariant reaction [Ab] is responsible for the blueschist-eclogite transition. However, it should be noted from Fig. 8 that the divariant reaction [Ab] in the NCFMASH system may degenerate to the singular univariant equilibrium [Ab]s. As previously shown, glaucophane, clinopyroxene and garnet were found to be almost collinear in eclogites from the Hubei Province (Zhou et al., 1993), and Spitsbergen (Hirajima et al., 1988), suggesting that the degenerate reaction [Ab]s is also possible in nature and may account for the blueschist-eclogite transition. One of the possible topologies which account for the occurrence of a singular curve [Ab]s at the blueschist-eclogite transition is shown in Fig. 10a. In this topology, the reactions (1€), [Ab]Fe and [Ab]Mg border the P-T region where the singular reaction [Ab]s lies. We chose to let the singular point coincide with invariant point II, to simplify the chemographic arrangement, although in principle it can occur anywhere along [Ab]Mg univariant reaction in NCMASH.
The three-dimensional phase diagram T-XA€-XM€ of Fig. 10b shows an extremum at T = T2, where three distinct amphibole-garnet-clinopyroxene assemblages form. All of these three-phase assemblages vanish on the [Ab]Mg univariant reaction and amphibole finally breaks down. The displacement of phase compositions toward Mg-rich compositions again may cause the sequential appearance and `breakdown' of one of the phases. If we consider the bulk composition 3 (Fig. 10b), the assemblage Gar + Amph occurs at T = T1. At T = T2 the singular reaction develops two new three-phase assemblages (Amph + Gar + Cpx) but no change will be observed in the bulk chemistry 3. With temperature increase the following sequence occurs: Amph + Gar + Cpx (at T2 < T < T3) -> Gar + Cpx (at T = T3) -> Amph + Gar + Cpx (at T3 < T < T4) -> Gar + Amph (at T = T4) -> Amph + Gar + Cpx (at T4 < T < T5) -> Gar + Cpx. At this last step the blueschist to eclogite transformation is completed. This in no way means that complete transformation to eclogite facies only takes place close to the NCMASH system because the diagram just described is largely schematic and all transformations may well occur in a very different XMg region. However, we want to emphasize that complex sequences of mineral replacements, with several stages of growth of amphibole + garnet ± clinopyroxene ± plagioclase symplectites are common in mafic rocks close to the blueschist-eclogite-amphibolite transitions (e.g. Messiga & Scambelluri, 1991; Messiga et al., 1992). Such complex textural relationships may well be interpreted as evidence of degenerate topologies, and complex P-T trajectories are not mandatory. The validity of Fig. 10b is not restricted to the stability field of albite, because singularities occur in albite-absent compositions, and at pressures higher than the reaction albite = jadeite + quartz, three-phase fields such as garnet-clinopyroxene-albite (upper left corner in Fig. 10b) simply degenerate to a garnet-clinopyroxene high-variance assemblage. Therefore, although we do not discuss here the arrangement of the topologies presented with albite breakdown, such a framework is substantially valid both for the transition zone and for eclogites sensu stricto. The interpretation of the transformations from blueschist to eclogite facies and from eclogite to amphibolite facies still relies upon a poor knowledge of the thermodynamic properties of amphibole solid solutions. Although recent experimental studies (Poli, 1993; Jenkins, 1994; Sharma,1996) may help to decipher the mineral chemistry of amphibole, the phenomena previously discussed cannot be predicted from calculations using available thermodynamic data, and therefore cannot be anchored to a P-T diagram. The main reactions which control the stability of paragonite and epidote at water-saturated conditions are shown in Fig. 11. The P-T field for the assemblage paragonite + zoisite + quartz + water is delimited at low pressure by the reaction forming margarite + plagioclase (Franz & Althaus, 1977), at high temperature by the solidus (Lambert & Wyllie, 1972), and at high pressure by the paragonite breakdown reaction to kyanite, jadeite and quartz (Holland, 1979).
Reactions (1), (1[prime]), (1"), and [Gar]s, i.e. reactions active at the eclogite to amphibolite facies transformation, occur within the divariant field of sodic clinopyroxene in equilibrium with albite (Holland, 1980). Reaction [Ab]s is expected at conditions where the appearance of the garnet + clinopyroxene pair commonly suggests the attainment of temperatures not lower than ~400°C. However, a more precise determination of the pressure and temperature location of the singular reactions [Gar]s and [Ab]s is inhibited by the poor knowledge of the non-ideality of amphibole solid solution. A first-order estimate of the [Delta]S/[Delta]V for singular reactions suggests a low dP/dT slope for the reaction [Gar]s (~11 bar/K, Table 3), as expected for the eclogite-amphibolite transformation, whereas the reaction [Ab]s shows a rather steep negative slope (-57 bar/K), again consistent with the schematic blueschist to eclogite facies transition as represented by
Spear, (1993). Systematic studies of KdFe/MgAmph/Cpx The quantitative positioning of P-T-XC€-XM€ loops may solve the compositional dependence of the blueschist to eclogite facies transformation. In principle, in Fe-rich systems the facies transition could be produced by the simple divariant reaction suggested by
Ridley, (1984), whereas in Mg-rich systems the transition might well be governed by the loop which is conjugate to the [Ab]s singular reaction (Fig. 10b). Therefore, a different mechanism can be responsible for the blueschist-eclogite transition in Fe-Ti and Mg gabbros. Singular point nets are expected to involve amphibole not only at high pressure, as previously discussed, but also at high temperature, namely, on the solidus. It has been shown [see the review by
Gilbert et al., (1982)] that a complex arrangement of the incongruent melting reactions of pargasite appears in a system where the component H2O is diluted, e.g. by CO2. Melting experiments in basaltic and andesitic systems showed that the amphibole stability field exhibits a temperature maximum with decreasing H2O activity, at constant total pressure (e.g. Holloway & Burnham, 1969, , 1972; Nesbitt & Hamilton, 1970; Eggler, 1972). The experimentalstudy by
Holloway, (1973) on pargasite melting in thesystem Na2O-CaO-MgO-Al2O3-SiO2-H2O-CO2 demonstrated that at low X(H2O), i.e. at low X(H2O)fluid and, hence, low X(H2O)melt (Burnham & Davis, 1971), the reaction
implies that X(H2O)melt < X(H2O)amph, whereas at high X(H2O), i.e. at high H2O fractions in the fluid and melt, the reaction
is necessarily related to X(H2O)melt > X(H2O)amph. As a result, a temperature extremum has been shown on T-X(H2O)fluid sections [see p. 255 of
Gilbert et al., (1982)], which indicates that collinearity between melt, pargasite and the anhydrous assemblage has to occur. Such a temperature extremum results in a reversal in theX(H2O) distribution between the phases and consequently a singular equilibrium is generated. Although topological consequences of such a reversal have still not been explored, it should be noted that the analysis of singular point nets cannot be undervalued in interpreting the petrogenesis of mafic rocks over a wide range of P-T conditions. The likelihood of singular equilibria in rocks of mafic composition is maximized by the large compositional variation both of whole-rock chemistry and of mineral chemistry of amphibole, garnet, and clinopyroxene. Extreme states should also be favoured by the large non-ideality of all of these solid solutions. Although direct findings of compositional degeneracies are expected to be rare in nature, reversals of element partitioning and the recurrent appearance and disappearance of similar phase assemblages may provide a strong indirect indication that singular point nets are relevant in the petrogenesis of high-pressure rocks. Phase relationships in amphibolites and eclogites from the Nevado-Filábride Complex and other metamorphic terrains suggest that the singular reaction
accounts for the eclogite to amphibolite facies transformation at temperatures of the order of 500-600°C and pressures of 10-15 kbar. J.F.M. is very grateful to F. Bea and M. T. Gómez-Pugnaire, who encouraged him to carry out the post-doctoral project. We are indebted to R. Abart, J. C. Schumacher and F. S. Spear for thoughtful and constructive reviews. I. Guerra, P. G. Montero and J. M. Fernández-Soler are also thanked for their technical assistance. This work has been financially supported by the Spanish Interministry Commission for Science and Technology (CICYT) projects AMB93-0535 and PB95-1266 and by FPI-(PN90) and FPI en el Extranjero grants of the Spanish Ministry of Education and Science. S.P.'s work was supported by MURST-40% grants and CNR-96.04174.CT11/96.00412.CT05 funding.INTRODUCTION
SINGULARITIES AND Kd REVERSALS
Fe2+-Mg PARTITONING IN HIGH-PRESSURE MAFIC ASSEMBLAGES
CHEMOGRAPHIC RELATIONSHIPS IN PARAGONITE-EPIDOTE-QUARTZ-BEARING ASSEMBLAGES
The paragonite-CFM chemography
Paragonite-epidote-bearing assemblages at intermediate-temperature conditions: the amphibolite-eclogite transition in the Nevado-Filábride Complex (SE Spain)
Gar1 + Cpx = Amph2 + Ab
(1)
Gar1 + Cpx = Gar2 + Amph2
(2)
Amph1 + Gar1 + Cpx = Amph2
(3)
Cpx = Amph + Ab.
[Gar]S
Cpx = Amph + Gar + Ab
(4)
Paragonite-epidote-bearing assemblages at low-temperature conditions: blueschist-eclogite transition
Gl + Ep = Gar + Omph + Pg + Q + H2O
(5)
Amph = Gar + Cpx.
[Ab]S
A TOPOLOGICAL ANALYSIS OF HIGH-PRESSURE PARAGONITE-BEARING SYSTEMS
Non-degenerate equilibria in NCFMASH system
Amph + Cz + Pg + Q = Gar + Ab + W [Cpx]Fe, [Cpx]Mg
Cpx + Pg + Q = Ab + Amph + Cz + W [Gar]Fe, [Gar]Mg
Degenerate reactions in the NCFMASH system: singularities in the blueschist-eclogite-amphibolite transitions
Cpx + Pg + Q = Amph + Ab + Cz + W [Gar]s
Amph + Cz = Gar + Cpx + Pg + Q + W.
[Ab]s
DISCUSSION
pargasite = diopside + forsterite + spinel + melt + fluid
pargasite + fluid = diopside + forsterite + spinel + melt
CONCLUSIONS
clinopyroxene + paragonite + quartz = amphibole + albite + clinozoisite + water
[Gar]s
ACKNOWLEDGEMENTS
REFERENCES
Appendix A: Mineral formulae and abbreviations used in the text.
Appendix B: The Paragonite-CFM projection.
The general expressions to be used for the triangular CFM projections of Figs 3, and 6-10, are
where the normalized coordinates are given in cation proportions.