Introduction

The dominant volatile in arc magmas is water (4 wt.% average H2O in basaltic magmas)1. As these hydrous magmas differentiate and ascend through the crust, they saturate in a fluid phase which can trigger explosive volcanism or generate economically valuable porphyry Cu deposits2,3,4. The high water content influences chemical differentiation of magmas, and may thus be responsible for the bulk andesitic composition of modern continental crust4. Measurements of water contents in glassy melt inclusions suggest that most erupted arc magmas, ranging in composition from basalt to rhyolite, contain 0–6 wt.% H2O (Fig. 1), consistent with storage under water-saturated conditions at upper crustal (<15 km) depths5,6. This restricted range of water contents in arc-related melt inclusions, regardless of the extent of chemical differentiation, is at odds with the water contents produced by fractional crystallisation of a typical primitive basalt composition (4 wt.% H2O), which should yield much higher H2O contents of 6–11 wt.% H2O due to the incompatible behaviour of H2O during crystallisation7,8,9 (Fig. 1).

Fig. 1: Comparison of H2O contents of arc melt inclusions with glasses from high-pressure experiments.
figure 1

Contour plot showing arc melt inclusion water contents as a function of silica content (derived from the GEOROC database). These water contents are markedly lower than those measured in high-pressure fractional/equilibrium crystallisation experiments using arc basalts (refs7,8,9; symbols). Dashed and dotted lines show the maximum water content dissolvable at 200 MPa and 400 MPa, respectively, assuming pure H2O liquid (calculated using MagmaSat on experimental liquids7,39). Vertical arrows indicate the quenchability ranges given by experiments whereby melt inclusions with 2–6 wt.% H2O are easy to quench to a glass, whereas those with higher H2O contents become increasingly difficult and eventually impossible to quench11. These data suggest that the melt inclusions database is biased towards low water contents due to both quenchability issues and shallow pressure crystallisation.

Several studies have questioned the reliability of melt inclusions because they are trapped in crystals formed at shallow depths and thus record post- or syn-degassing water contents10. The fidelity of the melt inclusion volatile record is further complicated because melt inclusions with melt H2O > 6 wt.% are more difficult to quench11, and there is also the possibility of H2O loss via H diffusion through their host minerals and formation of CO2-rich shrinkage bubbles12,13. The phenocryst record may also be compromised by crystal resorption during ascent from depth, and/or re-equilibration at shallow depths (e.g., estimated amphibole crystallisation depths cluster at 200–300 MPa14,15); obscuring any potential deep record of arc magma evolution at higher water contents.

Alternative methods provide a growing body of evidence for the formation of ‘super-wet’ magmas (>6 wt.% H2O) at depth in arcs, such as from the high electrical conductivity of mid-crustal magma reservoirs16, high volatile contents in lower-crustal cumulates17, suppression of plagioclase crystallisation in some magmas18 and comparisons of cumulate mineral assemblages with experimental observations19,20,21. Although super-wet arc magmas may be abundant at depth, they are not expected to persist to shallow depths with their high original water contents intact. During fluid-saturated ascent they will devolatilise and crystallise rapidly, because of the effect of H2O on lowering liquidus temperatures and the increase in viscosity as H2O exsolves22. Consequently, ‘super-wet’ arc magmas would normally be expected to stall at deeper crustal levels19. However, several studies have inferred the presence of super-wet magmas in some volcanic centres and mid to upper crustal intrusions suggesting these magmas may occasionally ascend to the near surface19,20,23,24,25.

Modelling studies have predicted that higher H2O contents in magmas enhance their ability to exsolve and outgas large quantities of metal-charged fluid26,27,28. Thus, the ascent of super-wet magmas could deliver large volumes of mineralising fluids to the shallow crust, which may be predisposed to form magmatic-hydrothermal ore systems17,26,27,29 or be degassed to Earth’s atmosphere3,26. Conversely, failure to ascend would increase the plutonic-volcanic ratio of arc magmatic systems and favour deeper release of volatiles, potentially hydrating the overlying crust17,19 and leading to water-fluxed partial melting30.

One mineral with potential to retain a record of deep magmatic conditions by surviving ascent from depth and escaping re-equilibration at shallow crustal levels is zircon. The conventional model of zircon saturation purports that the majority of zircon in calc-alkaline arc rocks are derived from shallow crystallisation (5–15 km) in intermediate to felsic magmas after significant crystallisation has elevated the concentration of Zr (an incompatible element prior to zircon saturation) sufficiently that zircon becomes saturated31. However, studies of exhumed crustal sections have revealed that significant zircon can be found in both deep and shallow portions of trans-crustal magmatic systems, with timings and durations of crystallisation at different depths that are indistinguishable when dated with high-precision geochronology32,33. Some workers have also noted the presence of multiple zircon populations within single intrusions, inferred as crystal cargo from multiple storage depths34. Therefore, zircon sampled in upper crustal rocks may in some instances reflect polybaric arc magma differentiation and be a prime candidate to record early, super-wet stages of arc magma differentiation.

A global compilation of whole-rock compositions indicates that primitive (basaltic) magmas in both mid-ocean ridge (MOR) and arc environments have overlapping initial Zr concentrations (ca. 100 ppm Zr; Fig. 2). This suggests a limited role of source processes in controlling Zr systematics across these tectonic settings and that it is only through differentiation that these magmas depart from their common starting point (Fig. 2). In MOR magmas, Zr increases during differentiation by an order of magnitude due to crystal-melt segregation under zircon-undersaturated conditions35. However, in arc magmas, Zr increases more gradually with differentiation, showing an inflection late in magma differentiation due to zircon saturation31.

Fig. 2: Zirconium systematics for magmas with a range of H2O contents.
figure 2

Whole-rock Zr systematics for mid-ocean ridge lavas35, arc magmas and porphyry Cu deposit-related igneous suites. For arc magmas, the compositions are separated by lower (2–4 wt.%) and higher (4–8 wt.%) H2O where dissolved H2O is estimated based on the maximum of available melt inclusion data or from experimental constraints. Points show the binned mean of Zr concentrations per 2 wt.% SiO2 and 2 s.e. uncertainties. No data could be found for arc rhyolites (>70 wt.% SiO2) with 2–4 wt.% H2O. Source data are provided as a Source Data file.

The lower Zr concentrations of arc magmas at a given SiO2 content have been attributed previously to their higher dissolved H2O concentrations relative to MOR magmas31,35. Considering arc lavas where H2O has been constrained, we find higher dissolved H2O (4–8 wt.%) causes the increase in Zr with differentiation to become even further suppressed compared to arc lavas with lower H2O (2–4 wt.%; Fig. 2). The extreme end-member of this series is represented by magmas from porphyry Cu systems, where Zr appears to be virtually invariant with magma differentiation, which has previously been suggested as evidence for differentiation under very wet conditions36.

In this study, we test the ability of zircon to record super-wet conditions in arc magmas. We adopt a thermodynamic modelling approach coupled with zircon saturation models to show low zircon solubility under super-wet magmatic conditions leading to low, homogeneous Ti concentrations in zircon. We then use zircon Ti concentrations to track the emplacement of super-wet magmas in the central Chilean arc where 10 Myr of plutonic activity culminated in the formation of the world’s largest porphyry Cu deposit cluster at Río Blanco-Los Bronces26,29,37.

Results and discussion

Early and low-temperature zircon saturation in super-wet magmas

We test the effect of increasing melt H2O on zircon saturation in crystallising andesitic magmas by combining the thermodynamic modelling software rhyolite-MELTS with zircon solubility models38,39,40. The aim is to explore the competing controls on Zr evolution in differentiating magmas: Zr increase due to its incompatible behaviour during major mineral crystallisation; and Zr decrease (or buffering) due to zircon saturation. These two controls operate in tandem and show a complex interplay. For example, H2O affects melt liquidus temperature and the rate of change of crystallinity and melt composition during cooling. To address this complexity our model builds isobaric temperature-crystallinity curves at initial water contents (wt.% H2Oi) between 2 and 8 wt.% to cover the range inferred for arc magmas in the mid to upper crust (Fig. 1). Pressure is held at 400 MPa to allow higher water solubility (ca. 8 wt.% H2O). We then use mineral-melt partitioning data (see “Methods” section) to model the increase of Zr with crystallisation and a zircon solubility model to predict the temperature at which zircon saturates40. We also test the effect of varying initial melt Zr (200 and 100 ppm, bracketing typical parent magma concentrations; Fig. 2).

Increasing the initial water content in the melt leads to zircon saturation at lower temperatures (Fig. 3A): when the initial Zr content of the magma (Zri) is fixed at 100 ppm, zircon saturates at 850 °C for 2 wt.% H2Oi and 790 °C at 8 wt.% H2Oi (Fig. 3B). When Zri = 200 ppm, these temperatures rise to 900 and 830 °C respectively. Furthermore, addition of H2O suppresses the increase in melt Zr with decreasing temperature, consistent with the near invariant Zr concentrations observed in the natural data from wet arc magmas (Fig. 2). The reasons for low-temperature zircon saturation in wet magmas in our models are twofold. First, increasing initial melt water content of an andesitic magma from 2 to 8 wt.% H2O (at elevated pressure to ensure all H2O is dissolved) leads to a reduction in liquidus temperature from 1120 °C at 2 wt.% H2O to 1050 °C at 8 wt.% H2O and a corresponding displacement of temperature-melt fraction paths to lower temperatures (Fig. 3A). Consequently, at the point of zircon saturation, wetter magmas will contain significantly lower Zr (175 ppm at H2Oi = 2 wt.% and 110 ppm at H2Oi = 8 wt.%; Fig. 3B). Secondly, according to the zircon solubility model40, water causes a modest increase in zircon solubility due to melt depolymerisation, leading to a shift of ca. −30 °C in zircon saturation temperatures from 2 to 8 wt.% H2Oi (Fig. 3B).

Fig. 3: Thermodynamic modelling of zircon saturation as function of initial melt H2O content.
figure 3

Rhyolite-MELTS modelling of zircon saturation for an andesitic starting composition at 400 MPa for initial water contents between 2 and 8 wt.%. A Temperature vs melt fraction relationship; symbols indicate where zircon saturates given Zri of 100 ppm (circles) and 200 ppm (squares). Grey dashed contours indicate when residual melts reach 65, 70 and 75 wt.% SiO2 (calculated on an anhydrous basis). B The concentration of Zr in residual melt (Zrliquid) during melt cooling and crystallisation with dashed and dotted lines showing the trajectories for 200 ppm and 100 ppm Zri, respectively. The mineral-melt partition coefficients for Zr (DZr) were compiled and parameterised as a function of temperature (see “Methods” section). Solid lines show the temperatures and Zr concentrations at which zircon saturates for each rhyolite-MELTS model with different water contents (A for legend). Zircon saturation occurs where dashed/dotted and solid lines of the same colour intersect (marked by square/circle symbols). Subsequent to zircon saturation, Zrliquid follows solid lines.

A key finding is that magmas with higher H2O will crystallise zircon at lower temperatures (Fig. 3). Such low-temperature zircon crystallisation may be recorded by low Ti concentrations because zircon Ti is known to be strongly temperature sensitive and is commonly used as a melt geothermometer41,42. Consequently, we investigate whether zircon Ti could be a fingerprint of particularly wet magmas because—unlike Zr systematics—it can be applied in the common case where a complete differentiation series of cogenetic magmas is not available.

Tracking the transition from damp to super-wet magmatism

The strong control of magmatic H2Oi contents on zircon saturation, and the potential for it to be proxied by bulk-rock Zr and zircon Ti concentrations, provides a method to fingerprint super-wet arc magmas in natural rocks. We test this by tracking the long-term evolution of melt H2O in arc magmas from Central Chile between 18 and 4 Ma. This time window contains the transition from arc plutonism in the San Francisco Batholith (SFB) complex43,44, to the formation of the world’s largest porphyry Cu cluster at Rio Blanco-Los Bronces. This allows us to test whether a transition to super-wet magmatism is coincidental with porphyry Cu deposit formation. We report new zircon U-Pb geochronology and trace element geochemistry from the SFB and Los Bronces porphyry Cu intrusions, determined by laser ablation inductively-coupled-plasma mass spectrometry. Our primary focus here is on zircon Ti concentrations, as this allows zircon crystallisation temperatures to be integrated with U-Pb dates to track the temporal evolution of melt temperature and thus, H2O.

We find that rocks of the SFB (including sub-economic porphyries) contain zircon with variable Ti (5–23 ppm), whereas zircon from the Los Bronces porphyries has lower and more homogeneous Ti concentrations (2–9 ppm; Fig. 4A). Notably, the porphyry intrusions (after 8 Ma), which coincide with peak Cu-Mo mineralisation, display the lowest Ti-in zircon (<5 ppm), equivalent to the lowest zircon crystallisation temperatures. These lower zircon Ti concentrations cannot simply be attributed to more evolved magma compositions because they are also observed in basaltic-andesitic porphyry dykes at Los Bronces (see Supplementary Fig. 2). Based on our modelling, we interpret this change as a transition from dry-damp zircon crystallisation to super-wet zircon crystallisation at ~8 Ma. Bulk-rock Zr in the older SFB samples is variable (130–350 ppm) with a gradual decline from 19 to ~8 Ma (Fig. 4B), consistent with damp arc magma evolution (2–4 wt.% H2O; Fig. 2). This then transitions to lower and less variable bulk-rock Zr (80–130 ppm) in the Los Bronces porphyry Cu-associated intrusions (Fig. 4B), despite a range in SiO2 contents (56–67 wt.% SiO2) suggesting differentiation under super-wet conditions (>6–8 wt% H2O; Fig. 2). The inferred increase in H2O leading up to the formation of the Los Bronces porphyry cluster is contemporaneous with increased tectonic convergence and crustal thickening in Central Chile45. Elevated tectonic compression would promote magma storage at greater depths and for longer durations, potentially promoting the formation of super-wet melts during protracted magma differentiation46.

Fig. 4: Temporal evolution of Ti-in-zircon and bulk-rock Zr in Central Chile before and during porphyry Cu deposit formation.
figure 4

Scatter plots showing A Ti-in-zircon concentrations and B whole-rock Zr over time from the San Francisco Batholith and Los Bronces porphyry Cu-Mo system in Central Chile45. For individual spot zircon Ti concentrations measured by LA-ICP-MS, the simultaneous spot 206Pb/238U dates are shown (translucent symbols); solid symbols give the median Ti concentration and the weighted mean date for each sample. Vertical grey field in A and B indicates the inferred window for porphyry Cu mineralisation from the main cluster of molybdenite Re-Os dates from Los Bronces51. The right-hand axis in A shows the equivalent temperatures of zircon crystallisation determined using the Ti-in-zircon thermometer42 assuming aTiO2 = 0.7, aSiO2 = 1.0 and P = 400 MPa. For whole-rock Zr, the U-Pb dates are the zircon 206Pb/238U weighted mean of the same sample. The error bars give the 2σ error on the weighted mean with a propagated 2% error to account for systematic uncertainty.

Low titanium-in-zircon as an indicator of super-wet magmas

A striking aspect of the Los Bronces zircon dataset is the very low and extremely restricted range of Ti concentrations of zircon from the economic porphyry Cu intrusions, which are almost entirely below 5 ppm in the samples linked to peak Cu-Mo mineralisation (Fig. 4A). In addition to temperature, Ti incorporation in zircon is dependent on the thermodynamic activity of titania (aTiO2). Assuming aTiO2 for arc-related magmas in the range of 0.4–0.9 (as measured from Fe-Ti oxide pairs; ref. 47 and Supplementary Fig. 4), these low Ti-in-zircon concentrations would equate to very low, near solidus, zircon crystallisation temperatures (749–678 °C; ref. 42). Our model shows that these temperatures could be achieved by very high-water contents (~8 wt.%) because zircon saturation occurs at temperatures below 790 °C in such melts (Fig. 3). A key question is whether these low, homogeneous zircon Ti concentrations can be achieved at upper crustal depths (200 MPa) where the maximum H2O that can be dissolved in the melt is ~6 wt.%, or whether they require zircon crystallisation at greater depths in the crust where more water can be dissolved. We, therefore, integrated our zircon saturation model with Ti-in-zircon thermometry to evaluate the water contents and depths under which such low and homogeneous zircon Ti concentrations can be reproduced.

We first use mass balance to estimate the mass fraction of total zircon crystallised at a given temperature and melt fraction following zircon saturation (Fig. 5). Overall, we find that wet magmas crystallise a larger proportion of their zircon at lower temperatures, whereas dry-damp magmas crystallise zircon over a higher and wider range of temperatures. Because wet magmas undergo a greater proportion of their crystallisation at lower temperature (i.e., the slope of the crystallinity-temperature curve steepens; Fig. 3A), the peak of zircon crystallisation is shifted towards lower temperatures. Finally, increasing H2Oi causes zircon to appear as an earlier phase in the crystallisation sequence relative to other phases in the thermodynamic model (i.e., at higher melt fraction; Fig. 5A, B), because of the lower temperature of wet magmas and the very strong temperature dependence of zircon solubility (~30% crystals at 8 wt.% H2Oi compared to 55% crystals at 2 wt.% H2Oi). Therefore, increasing H2Oi causes zircon crystallisation to take place over a longer crystallinity interval, albeit at relatively low and less variable temperatures.

Fig. 5: Modelling the mass of zircon crystallised during magma crystallisation.
figure 5

The fraction of total zircon crystallised in a magma as a function of A temperature and B melt fraction for Zri = 100 ppm and variable initial water content (coloured curves). The fraction of total zircon crystallised denotes the mass of zircon crystallised at each model increment divided by the total mass of zircon crystallised from the magma. The grey bar indicates the rheological lock-up when a melt-dominated mush transitions to a crystal-rich condition and magma becomes unextractable77.

We next model the distribution of Ti concentrations expected in zircon crystallised over a range of pressures and water contents. This integrates the mass fraction of zircon crystallised at a given temperature with models of rutile solubility (to estimate aTiO2; ref. 48) in order to calculate the distribution of Ti-in-zircon concentrations expected at a given H2Oi (see “Methods” for further information). We find that increasing H2Oi causes lower melt aTiO2 at zircon saturation due to the suppressed crystallisation of Ti-poor phases (e.g., plagioclase) and promoted crystallisation of Ti-rich minerals (e.g., magnetite and amphibole) at higher temperature, from aTiO2 = 1.0 at 2 wt.% H2O to aTiO2 = 0.4 at 8 wt.% H2O. The modelled Ti concentrations (Fig. 6) show that increasing H2Oi at elevated pressure (400 MPa) causes a transition from higher and more variable zircon Ti (8–22 ppm interquartile range at 2 wt.% H2Oi) to lower and more homogeneous zircon Ti (7–12 ppm interquartile range) at 8 wt.% H2Oi and an even more pronounced change at 600 MPa (Fig. 6). Conversely, the behaviour at 200 MPa is different due to a maximum H2O solubility of 6 wt.%. These results are broadly equivalent to zircon Ti data from the precursor San Francisco Batholith (low P and low H2Oi) and from the mineralised Los Bronces porphyry intrusions (high P and high H2Oi) in Central Chile (Fig. 6).

Fig. 6: Modelled Ti-in-zircon distributions as a function of H2Oi at three different pressures.
figure 6

Violins show the density of data points and box-and-whisker symbols show interquartile range and median Ti concentrations. Grey violins and box plots on the right show, for comparative purposes, the distributions of Ti-in-zircon in samples from the Los Bronces (LB) porphyry intrusions and the San Francisco (SF) Batholith and uneconomic porphyries in the same district. The maximum solubility of H2O at 200 MPa is ~6 wt.%, hence higher H2O violins are not shown at this pressure.

We conclude that high melt H2O is the primary control on the low and homogeneous Ti concentrations in zircon and attribute this to three contributory factors: (1) the lower temperatures of wet magmas due to the displacement of the liquidus and crystallisation to lower temperatures, thereby affecting the partitioning of Ti between melt and zircon; (2) the modest increase in zircon solubility with increasing H2O due to melt depolymerisation and; (3) the lower melt aTiO2 of wetter magmas at zircon saturation.

Porphyry Cu deposit formation linked to super-wet magmas

The temporal link between super-wet magmas and the development of Cu mineralisation in the Los Bronces porphyry system suggests that magmas with very high water contents could have a predisposition to form porphyry Cu deposits. This warrants a further comparison with literature data to examine whether low Ti zircon, and thus super-wet magmas, are a common feature in porphyry Cu-related magmatic systems. Porphyry Cu deposits are also commonly hosted by composite precursor plutons that are interpreted to have formed from typical arc magmas in terms of water contents (ca. 4 wt.%)43,44. If correct, these pre-mineralisation intrusions would be expected to have higher and more variable zircon Ti concentrations.

A compilation of zircon trace element compositions for 22 global porphyry copper deposits worldwide indicates that low and homogeneous zircon Ti (<10 ppm, 75th percentile) can be found in most of these systems (Fig. 7). Our modelling indicates that these zircon Ti distributions require melt water contents in excess of 6 wt.% (Fig. 6). Where zircon compositional data exist for precursor plutons in a porphyry Cu district, these have elevated Ti concentrations relative to porphyry Cu-associated zircon in all but one case (Highland Valley, Canada). We emphasise that our broad comparison groups all porphyry-related intrusions in a district together, whereas at Los Bronces we can resolve the specific porphyry dykes that have the closest association with Cu mineralisation in terms of lowest Ti-in-zircon.

Fig. 7: Global comparison of zircon Ti concentrations across various rock types.
figure 7

Box-and-whisker symbols show interquartile range and median Ti concentrations for each locality. Comparison includes zircon Ti concentrations measured in A-type systems (“hot” and “dry”), arc localities (Coastal Cordillera, Japan and Sierra Nevada) and localities where magmas are posited to be super-wet (Adamello, Altiplano Puna Volcanic Centre (APVC), Taupo Volcanic Zone) and porphyry Cu districts (blue = porphyry, white = precursor batholith where present/data available). Source data are provided as a Source Data file.

Our comparison indicates that low zircon Ti concentrations are present in porphyry Cu deposits regardless of their size, grade or deposit type. Thus, super-wet arc magmatism exerts a first-order control on porphyry Cu mineralisation. Indeed, modelling studies have suggested that very high water contents may enable a magma to exsolve and outgas larger volumes of Cu-charged fluids26,27,29. This is also consistent with the observation that volcanoes with higher water contents in their erupted magmas flux the largest masses of metals to the atmosphere26. Furthermore, because wet magmas have higher melt fractions at a given temperature, water saturation will occur at higher melt fractions where a larger volume of melt is available for scavenging of metals and the chlorine required for complexation and transport of metals in hydrothermal fluids29. If, as suggested by our models, these porphyry ore-forming, zircon-bearing magmas are stored at higher pressure (ca. 400 MPa, i.e., in the mid-crust), the insulating effect of the thicker overburden would extend the thermal lifetime of these systems49. This would allow multiple episodes of magma injection, storage and eventual fluid release over millions of years to form the superimposed generations of porphyry Cu intrusions that are typical of the largest mineralised districts50,51.

Underestimation of water contents in arc magmas

The link between super-wet arc magmas and porphyry Cu deposits raises the question of whether such magmas occur rarely and are unique to mineralised systems or are instead a common product of arc magmatism. To this end, we also compared zircon Ti contents between a number of arc magmatic systems without known association with porphyry systems, but where the existence of super-wet magmas has been proposed (Fig. 7), e.g. the Adamello Batholith (Italy), the Altiplano Puna Volcanic Complex (Bolivia), and the Taupo Volcanic Zone (New Zealand)16,19. Their zircon crystals also show relatively low and homogenous Ti contents (<10 ppm, 75th percentile) supporting their association with super-wet magmas. When compared broadly with other magmatic arcs (Fig. 7), the ranges in Ti values are similar to those observed in the Sierra Nevada (USA) and Japan, whilst the Coastal Cordillera (Chile) show higher and more variable zircon Ti (Fig. 7; ref. 52). We also compared the global porphyry data with zircon from A-type granites, which form under dry-damp and hot magmatic conditions. As expected, these show much higher and more variable Ti concentrations (interquartile range 8–26 ppm Ti; Fig. 7).

The occurrence of low zircon Ti concentrations in a number of arc rocks implies that deep, super-wet zircon crystallisation is not necessarily a rare process. This finding is at odds with the widely accepted range of H2O contents in arc magmas, typically inferred from melt inclusion data (0–6 wt.% H2O; Fig. 1). Our finding implies that many arc magmas exceed this typical range (>6 wt.% H2O) and therefore arc magma H2O contents may have been historically underestimated. This also raises questions over the mechanism by which such super-wet magmas ascend to the upper crust while avoiding decompression-related crystallisation and stalling at depth53. We tentatively propose that this is because their high water contents would initially reduce their viscosity and enable ascent so rapidly that initial dissolved water contents are retained, thus avoiding stalling and crystallisation at depth due to early H2O saturation54. This may provide a viable mechanism by which super-wet magmas can ascend to the upper crust and efficiently transfer their deep volatiles to upper crustal magmatic-hydrothermal systems, such as those associated with porphyry ore deposits.

A deep locus of zircon crystallisation in arc magmas

The pressure at which the bulk of zircon crystallisation occurs in arc magmas is difficult to constrain but has significant implications because zircon is widely used to interpret magma storage durations, fluxes and volumes in trans-crustal magmatic systems55,56. The strong effect of increasing melt H2O on promoting early zircon saturation in arc magmas (Fig. 5B) would influence the initial depth at which zircon begins to crystallise. Zircon formed during the crystallisation of super-wet magmas may therefore represent cargo from multiple crustal depths, with good preservation due to zircon’s refractory nature and low dissolution rates57. Enhanced zircon stability by high melt H2O could explain the protracted timescales of zircon crystallisation documented by high-precision U-Pb dating in porphyry Cu deposits such as at Bingham Canyon (~650 kyr; ref. 58), Batu Hijau (~300 kyr; ref. 59), Bajo de la Alumbrera (~200 kyr; ref. 60), Coroccohuayco (>300 kyr; ref. 61), Koloula (>100 kyr; ref. 62) and Ok Tedi (~200 kyr; ref. 63). Such timescales are also found in a number of other hydrous magmatic systems such as the Adamello Batholith (Italian Alps) and the Fish Canyon Tuff (USA)64,65. This suggests that >100 kyr durations of zircon crystallisation in arc magmas, which are typically interpreted as storage durations in the upper crust, may instead represent a protracted, deeper magma history. By contrast, much shorter timescales of zircon crystallisation have been recorded in dry (A-type) magmatic systems, such as the Kilgore Tuff (Yellowstone, USA) where high-precision U-Pb dates of multiple zircon grains are statistically indistinguishable (<10,000 years of zircon crystallisation66).

Our model suggests that magmas forming porphyry Cu deposits are stored at mid-crustal depths (>400 MPa, ~15 km), as opposed to in the upper crust67. This does not preclude subsequent storage of these magmas for shorter timescales at shallower depths (i.e., at 5–10 km depths68) where the volume of crystallised zircon might be subordinate. Mid-crustal depths of magma storage and zircon crystallisation are in accordance with the large volume of intermediate-felsic magmas inferred at such depths from geophysical surveys in mature magmatic arcs16,69 and from tilted crustal sections such as in the Sierra Nevada (felsic rocks up to 35–40 km depths70) and the Famatinian arc (intermediate to felsic rocks dominate until 30 km depths71).

In conclusion, we have shown that zircon saturation in arc magmas is strongly sensitive to melt H2O contents. We find that low, homogeneous zircon Ti concentrations ( < 10 ppm, 75th percentile) reflect zircon crystallisation from low-temperature, super-wet magmas (>6 wt.% H2O) in mid-crustal (or deeper) magma reservoirs. A transition from high and variable to low and homogeneous Ti zircon compositions coincides with the formation of the world’s largest Cu resource in Central Chile. Deep, super-wet zircon crystallisation appears to be a common feature of porphyry Cu deposits worldwide, hinting that super-wet magmas are fundamental vehicles for delivering large metal fluxes towards Earth’s surface.

Methods

Trace element analysis of zircon

Rocks were crushed and sieved to 500 µm, panned for heavy minerals and then magnetic minerals were removed using a neodymium magnet. Zircon crystals were hand-picked from the mineral separates, mounted in epoxy and polished to expose the crystal cores. The zircon crystals were then imaged by scanning electron microscope-cathodoluminescence (SEM-CL) to allow textural examination. Trace element compositions and U-Pb dating of zircon were performed at the Imaging and Analysis Centre at the Natural History Museum (London, UK) using an Agilent 7700x quadrupole ICP-MS coupled to an ESI New Wave Research NWR193 excimer laser. A complete description of the LA-ICP-MS method can be found in Supplementary Data 1. The laser was operated using a 5 Hz repetition rate, a fluence of 3.5 J cm−2 and a spot size of 30 µm. Laser spots were selected to cover the range of textural zones exhibited by the zircon crystals (e.g., cores and rims). NIST-610 was used as the primary standard for trace elements and 91500 was used as secondary reference material. For U-Pb geochronology, GJ-1 was used as the primary standard and AUSZ-7 and Rak-17 standards were used to monitor consistency and accuracy in the U-Pb data. Zircon trace element data, U-Pb ages and analyses of standards are provided in Supplementary Data 25.

Modelling of zircon saturation as function of initial melt H2O

Rhyolite-MELTS setup

Temperature-crystallinity curves for different initial water contents in intermediate-felsic arc magmas were modelled using rhyolite-MELTS38,39. Modelling was carried out using the thermoengine module for Python in the ENKI server (https://enki-portal.gitlab.io/ThermoEngine/index.html). An intermediate bulk starting composition was used from the Adamello Batholith (Northern Italy) because this is a calc-alkaline subduction-related andesite and it is not hydrothermally altered72. The system was equilibrated at a starting temperature of 1100 °C to ensure 100% liquid, and the temperature was decreased in 10 °C increments to a near solidus temperature of 680 °C to ensure full crystallisation. These models were performed using the equilibrate_tp function of thermoengine assuming fractional crystallisation. Minerals that are not expected in calc-alkaline magmas were suppressed to simplify the modelling. The melt composition (calculated on an anhydrous basis), phase assemblage and melt fraction were extracted at each model increment. These models were repeated for a range of water contents (2–8 wt.% H2O) and pressure (200–600 MPa). The code used to run these simulations is archived at the point of submission at (https://doi.org/10.5281/zenodo.10557188).

Calculating melt Zr concentrations

Rhyolite-MELTS cannot calculate melt Zr (Zrmelt) since it does not currently implement a thermodynamic model for trace elements. Therefore, to model Zrmelt we use simple Rayleigh fractional crystallisation:

$${{Zr}}_{{melt}}={{Zr}}_{0}{F}^{D-1}$$
(1)

Where Zr0 is the initial Zr concentration of the melt, F is the melt fraction and D is the mineral-melt bulk partition coefficient for Zr. The bulk partition coefficient of Zr is likely to be very low due to the general incompatibility of Zr in the major mineral phases found in porphyry rocks (feldspar, amphibole, biotite and magnetite). For plagioclase and magnetite, the partition coefficients are very close to 0, whereas for amphibole (DZr = 0.1–2.4) and biotite (DZr = 0.42) the partition coefficients can be higher (particularly at low temperature). In order to track Zrmelt, we follow the approach of previous work72 where we use compilations of mineral-melt Zr partitioning data to constrain the bulk mineral-melt partition coefficient for Zr (Supplementary Fig. 1) and the mineral fractions outputted from rhyolite-MELTS. We note that amphibole was present in some runs but is generally underestimated due to the simplification of the amphibole model by rhyolite-MELTS, and hence bulk DZr should be treated as a minimum. Data for DZr as a function of temperature were compiled for amphibole, clinopyroxene, plagioclase, biotite and ilmenite (Supplementary Fig. S1). Due to a paucity of literature data (particularly at lower temperatures), DZr was estimated for orthopyroxene and spinels (magnetite) by taking a third of the values for clinopyroxene and ilmenite respectively, based on a comparison of experimental partitioning data for these minerals72. Because we expect DZr to increase with decreasing temperature, we fit a 3rd order polynomial equation to temperature and DZr for each mineral phase (Supplementary Fig. 1). We fit this solely to temperature rather than SiO272 because temperature is an independent variable and melt SiO2 has uncertainty since the rhyolite-MELTS models do not crystallise expected amphibole abundances.

Zircon saturation modelling

At a given temperature step, the Zr concentration required for zircon saturation can be calculated using the empirical calibration of Crisp and Berry (ref. 40) which is based on experimental studies. The model is dependent on the temperature (T) in K, pressure (P) in GPa, melt optical basicity (\(\Lambda\) – a compositional parameter) and the mole fraction of water in the melt (xH2O). For a given model step i, the Zr required for zircon saturation is given by:

$${\log {{{\rm{Zr}}}}}_{{{{\rm{sat}}}}(i)}= 0.96\left(\pm 0.05\right)-\frac{5790\left(\pm 95\right)}{{T}_{i}}-1.28\left(\pm 0.08\right)P \\ +12.39\left(\pm 0.35\right){\Lambda }_{i}+0.83\left(\pm 0.09\right) ({x}{{{{\rm{H}}}}}_{2}{{{{\rm{O}}}}})_{i}+2.06\left(\pm 0.16\right)P{\Lambda }_{i}\,$$
(2)

Where Zr is in ppm and uncertainties in parentheses are 1σ. This equation is also frequently rearranged to calculate minimum temperatures of zircon-saturated magmas73. The optical basicity at a given model step can be calculated from the MELTS output of liquid composition74. A limitation of this approach is that rhyolite-MELTS is not optimised for wet intermediate-felsic magma compositions due to the lack of an appropriate thermodynamic model for hydrous mafic silicates such as amphibole38. As such, at higher degrees of crystallinity our residual melt compositions show an inflection with differentiation where SiO2 decreases (Supplementary Fig. 6). This inflection is not consistent with liquid compositions from experiments (Supplementary Figs. 6 and 7) or natural glasses and would lead to inaccuracies in our zircon saturation predictions. In general, we find that the MELTS liquid SiO2 diverges from experimental data below 850 °C. Therefore, we perform a polynomial regression on optical basicity (which is a function of the major element composition of the melt) versus temperature from the liquidus to 850 °C and use this to correct for the inflection of melt composition with lower temperature. A 2nd order polynomial was selected based on the best fit to experimental data (Supplementary Figs. 6 and 7).

Calculating theoretical zircon Ti concentrations

Once the melt achieves zircon saturation (i.e., where Zrmelt > Zrsat), we use mass balance to calculate the fraction of zircon crystallised at each model step. This produces a distribution of the relative mass of zircon that would be crystallised at a given temperature or melt fraction (Fig. 5). The relative mass of zircon at a given temperature, as calculated from our rhyolite-MELTS and zircon saturation modelling can then be used to calculate a range of theoretical Ti concentrations in crystallised zircon using the Ti-in-zircon thermometer42:

$$\log \left({{{\rm{Ti}}}},\,f\right)= 5.84\left(\pm 0.07\right)-\frac{4800\left(\pm 86\right)}{T}-0.12\left(\pm 0.01\right)P \\ -0.0056\left(\pm 0.0015\right){P}^{3}-\log \left({a}_{{{{{\rm{SiO}}}}}_{2}}\right) f+\log ({a}_{{{{\rm{Ti}}}}{{{{\rm{O}}}}}_{2}})$$
(3)

Where Ti is the zircon Ti concentration in ppm, T is temperature in K, P is pressure in GPa and f is the fraction of Ti on the zircon tetrahedral site which is calculated as42:

$$f=\frac{1}{1+{10}^{\left(-0.77\left(\pm 0.05\right)P+3.37\left(\pm 0.13\right)\right)}}$$
(4)

The numbers in parentheses are 1σ errors. The chemical activities (aTiO2 and aSiO2) can be calculated using the affinity (A) of TiO2 and SiO2 in the melt which are output from rhyolite-MELTS, for example:

$$a{{{\rm{Ti}}}}{{{{\rm{O}}}}}_{2}=\,{e}^{\frac{-A{{{\rm{Ti}}}}{{{{\rm{O}}}}}_{2}}{{RT}}}$$
(5)

Where R is the gas constant. In general, MELTS predicts ranges of 0.3–0.6 and 0.8–1.0 for aTiO2 and aSiO2 at the time of zircon saturation. This is in general accordance with values predicted for I-type magmas from other attempts to reconstruct aTiO2 and aSiO2 using thermodynamic modelling software75 although the values for aTiO2 are generally lower than those predicted by coexisting Fe-Ti oxides in volcanic rocks (0.4–0.947; Supplementary Fig. 4). Many of these higher (>0.6) aTiO2 values are found in calc-alkaline andesites-dacites such as Pinatubo and Mt St Helens47, suggesting that rhyolite-MELTS may underestimate aTiO276. We also find that at low temperatures (<800 °C) the values of aTiO2 can unrealistically collapse to zero as TiO2 reaches very low concentrations in the melt. Therefore, we calculate melt aTiO2 using the recent rutile solubility model of Borisov and Aranovich48 from the melt compositions derived by our MELTS simulations to estimate aTiO2 at each model step (Supplementary Fig. 4B). In general, we find the Borisov and Aranovich model produces higher aTiO2 compared to rhyolite-MELTS (0.4–1.0) and even predicts rutile saturation in some low-H2O models. (Supplementary Fig. 4). These higher aTiO2 values are in better agreement with the ranges predicted from Fe-Ti oxides in calc-alkaline lavas. We therefore implemented the method of Borisov and Aranovich to model zircon Ti concentrations.

Ethics and inclusion

This study benefited from collaboration and knowledge from local geologists at Anglo American. Local assistance and knowledge have been rightfully acknowledged/cited.