JOURNAL OF PETROLOGY VOLUME 41 NUMBER 6 PAGES 739–757 2000 Mineralogical Evidence for Fluid–Rock Interaction Accompanying Prograde Contact Metamorphism of Siliceous Dolomites: Alta Stock Aureole, Utah, USA STEPHEN J. COOK∗ AND JOHN R. BOWMAN† DEPARTMENT OF GEOLOGY AND GEOPHYSICS, THE UNIVERSITY OF UTAH, SALT LAKE CITY, UT 84112, USA RECEIVED MAY 27, 1998; REVISED TYPESCRIPT ACCEPTED NOVEMBER 10, 1999 Contact metamorphism of siliceous dolomite in the southern part of the metamorphic aureole of the Alta stock (Utah, USA) produced the prograde isograd sequence: talc (Tc), tremolite (Tr), forsterite (Fo), and periclase (Per). Calcite (Cc)–dolomite (Do) geothermometry and phase equilibria define a general prograde T– X(CO2) path of decreasing X(CO2) with rising temperature for the dolomite. High-variance assemblages typify the aureole. Per + Cc and Fo + Cc + Do characterize the inner aureole (Per and Fo zones), and Tr + Do + Cc and Tc + Do + Cc are widespread in the outer aureole (Tr and Tc zones). Low-variance assemblages are rare and the thickness of reaction zones (coexisting reactant and product minerals) at the isogradic reaction fronts are narrow (tens of metres or less). The mineral assemblages, calculated progress of isograd reactions, and the prograde T–X(CO2) path all indicate that massive dolomite was infiltrated by significant fluxes of water-rich fluids during prograde metamorphism, and that the fluid flow was down-temperature and laterally away from the igneous contact. Fluid infiltration continued through at least the initial retrograde cooling of the periclase zone. Down-T fluid flow is also consistent with the results of Cc–Do geothermometry and patterns of 18O depletion in this area. The close spatial association of reacted and unreacted chert nodules in both the tremolite and talc zones plus the formation of tremolite by two reactions indicate that the outer aureole varied in X(CO2), and imply that fluid flow in the outer aureole was heterogeneous. The occurrence of dolomite-rich and periclase (brucite)-absent, high-18O marble layers within the periclase zone indicates that fluid flow in the innermost aureole was also heterogeneous. Estimates of the average time-integrated fluid flux (qmTIFF) experienced by the periclase, forsterite, and tremolite zones are 4·2 × 107, 6·65 × 105, and 2·0 × 105 mol fluid/ m2, respectively. The average value of qmTIFF for the periclase zone ∗Present address: Argonne National Laboratory, Environmental Research Division, 9700 South Cass Avenue, Argonne, IL 60439, USA. †Corresponding author. agrees well with the qmTIFF (3·4 × 107mol/m2) determined by numerical simulation of the temperature and 18O depletion profiles preserved in the southern aureole. The estimates of qmTIFF for the forsterite and tremolite zones have much greater uncertainty, but may indicate that fluid flux was considerably lower in these zones than in the periclase zone. Given the outward (down-temperature), subhorizontal flow geometry indicated by a variety of petrologic, geochemical, and geothermometry evidence presented here and elsewhere, this decrease implies that fluid has leaked from the flow system between the periclase and tremolite zones. KEY WORDS: Alta; fluid flow; infiltration; marble; mineralogical INTRODUCTION Both mineral assemblages and stable isotopes have been interpreted with transport theory to evaluate the extent of fluid–rock interaction and flow geometry in carbonate rocks from contact metamorphic aureoles (Baumgartner & Ferry, 1991; Ferry, 1991, 1994; Dipple & Ferry, 1992; Jamtveit et al., 1992; Bowman et al., 1994; Roselle et al., 1999). These applications have sometimes been controversial in establishing the direction of fluid flow with respect to the temperature gradient (Ferry & Dipple, 1992; Nabelek & Labotka, 1993; Cartwright & Buick, 1996). Mineralogic records are a particularly valuable Oxford University Press 2000 JOURNAL OF PETROLOGY VOLUME 41 record of fluid–rock interaction as these are an unambiguous link between the high-temperature conditions of prograde metamorphism and fluid flow. Geothermrometry, carbon and oxygen isotope data, and petrologic evidence of fluid infiltration-driven metamorphism are preserved in siliceous dolomites of the contact aureole surrounding the Alta stock in northern Utah. Moore & Kerrick (1976) described a prograde sequence of talc, tremolite, forsterite, clinohumite, and periclase isograds in these rocks, and concluded that isograd-forming reactions required interaction of rocks with H2O-rich fluids. Calcite–dolomite geothermometry and light stable isotope studies of the dolomites in the southern part of the aureole (Bowman et al., 1994; Cook & Bowman, 1994), and numerical models for fluid flow, heat, and 18O/16O mass transport during the metamorphic event (Cook et al., 1997), confirmed the infiltration of H2O-rich fluid, and showed that fluid flow was principally down-temperature (down-T) and laterally away from the intrusive contact. In this study we report petrologic evidence that corroborates the occurrence of down-T fluid flow during prograde metamorphism. We present measurements of reaction progress developed in the dolomites at each of the isograds. We use a model for down-T fluid flow and mass transport (Ferry, 1996) to estimate the timeintegrated fluid flux (qTIFF) responsible for prograde metamorphism based on measured reaction progress, locations of isograds, and estimates of the T–X(CO2) conditions of metamorphism. The petrologic estimate of qTIFF agrees well with the value obtained by a numerical simulation of fluid flow, heat transport, and transport and exchange of 18O/16O that accompanied metamorphism of siliceous dolomite in the southern Alta aureole (Cook et al., 1997). METAMORPHIC GEOLOGY The Alta granodiorite (Wilson, 1961) is one of several mid-Tertiary (38 Ma, Crittenden et al., 1973) stocks in northern Utah’s central Wasatch Range (Fig. 1). The stock intruded and contact metamorphosed a sequence of Precambrian and Paleozoic sedimentary rocks that consist primarily of quartzite (Precambrian Big Cottonwood and Cambrian Tintic Formations) overlain by limestones and dolomites (Cambrian Maxfield and Mississippian Fitchville, Deseret, and Gardison Formations). In the study area, preintrusive thrusting (Alta–Grizzly thrust zone, Figs 1 and 2) has repeated a portion of the carbonate section, placing the Cambrian Maxfield Formation over the upper Mississippian Deseret– Gardison Formations. Metamorphic effects associated with the Alta stock are evident in carbonate rocks NUMBER 6 JUNE 2000 Fig. 1. Geologic map of the Alta contact aureole. Geology after Crittenden (1965) and Baker et al. (1966). Isograd locations based on mineral assemblages in the siliceous dolomites after Moore & Kerrick (1976). This study focuses on the metamorphism along the south–central margin of the Alta stock. Isograds: Tc, talc; Tr, tremolite; Fo, forsterite; Chm, clinohumite; Per, periclase. (Maxfield, Fitchville, Deseret, and Gardison Formations, Figs 1 and 2) up to >2 km south from the intrusive contact. Two other mid-Tertiary stocks are exposed in the vicinity. To the east, the Alta stock cuts the 42 Ma Clayton Peak granodiorite. Several kilometers to the west is the 32 Ma Little Cottonwood quartz monzonite. Moore & Kerrick (1976) reported that the western margin of the Alta aureole has been overprinted by the contact aureole of the Little Cottonwood stock (Fig. 1). The south–central margin of the Alta aureole (Figs 1 and 2) was selected for study for the following reasons: (1) it has a well-developed prograde metamorphic sequence within siliceous dolomite (Moore & Kerrick, 1976); (2) it has a simple structure and excellent exposures of carbonate units that allow reliable tracing of individual lithologies up metamorphic grade; (3) it is unaffected by metamorphism associated with the Clayton Peak stock to the east (Smith, 1972) and the Little Cottonwood stock to the west (Moore & Kerrick, 1976). Two lithologically distinct types of siliceous dolomite are present in the study area (Figs 1 and 2): massive dolomite strata that contain only sparsely disseminated 740 COOK AND BOWMAN METAMORPHISM OF SILICEOUS DOLOMITES MINERAL ZONES, ISOGRADIC REACTIONS, AND MINERAL ABUNDANCE Talc zone The outermost talc zone is distinguished by the mineral assemblage Tc + Cc as reaction rims that surround chert nodules in nodular dolomites. These were produced by the reaction 3Do+4Qz+H2O=Tc+3Cc+3CO2. Fig. 2. Geologic map of the south–central part of the Alta aureole with locations of samples used in this study. Geology after Baker et al. (1966) and Cook (1992). Stratigraphic units: Ct, Tintic; Co, Ophir; Cm, Maxfield; Mf, Fitchville; Mdg, Deseret and Gardison; Tind, intermediate dikes; Qal, alluvium. Alta stock shown by random bar pattern; Fitchville (Mf ) by the horizontal line pattern. Isograds (bold dashed lines) are labeled by index mineral: Tc, talc; Tr, tremolite; Fo, forsterite; Per, periclase. The preintrusive Alta–Grizzly thrust (labeled with teeth) has repeated part of the carbonate section. (1) The assemblage Tc + Cc + Dol is common in nodular dolomites. Although quartz (chert) is found in cores of nodules throughout the talc zone, it is invariably separated from the dolomite matrix by a Tc + Cc reaction rim. Few massive dolomite specimens in the south Alta aureole exhibit this reaction even though they contain disseminated quartz; talc appears to be almost exclusively restricted to the chert nodules (see Moore & Kerrick, 1976). The extent of this reaction around nodules is variable. Many nodules are unreacted, and some small nodules have been completely reacted to Tc + Cc. Typically, talc-bearing nodules exhibit partial reaction in which the Tc + Cc assemblage (1–10 mm thick) mantles a chert core. Talc-bearing nodules typically lie along individual stratigraphic horizons. Within many outcrops, talc-bearing nodular strata alternate with talc-absent ones that are separated by stratigraphic distances of only a few tens of centimeters. The abundance of talc-bearing nodules decreases with increasing distance from the stock. Because the talc occurrences are almost exclusively restricted to nodular dolomite horizons, and our focus is fluid infiltration in the massive dolomites, we have not measured reaction progress in the talc zone. Tremolite zone quartz and nodular dolomite strata that consist of chert nodules in a matrix of massive dolomite (Moore & Kerrick, 1976). This study focuses on the massive dolomite strata, which, unmetamorphosed, consist of dolomite (Do) with typically <10 modal % each of quartz (Qz) and calcite (Cc). In massive dolomite strata, prograde metamorphism successively produced talc (Tc) (rare), tremolite (Tr), forsterite (Fo), clinohumite (Chm), and periclase (Per) (Moore & Kerrick, 1976). The periclase was subsequently replaced by retrograde brucite (Br). Except for the talc zone, these mineral zones lie approximately parallel to the intrusive contact. The periclase, forsterite, and tremolite isograds occur at average distances of 200, 700, and 1200 m, respectively from the contact with the stock. The tremolite zone is defined by formation of Tr + Do + Cc, less commonly by Tr + Do and rarely by Tr + Cc. Modal tremolite ranges from 1·6 to 17·1% in 12 representative massive dolomite samples (Fig. 2) from the tremolite zone (Table 1). The absence of quartz (Table 1) indicates that the tremolite-forming reaction went to completion. Most samples from this zone contain the assemblage Tr + Do + Cc, a result of either the reaction 2Tc+3Cc=Tr+Do+H2O+CO2 (2) 5Do+8Qz+H2O=Tr+3Cc+7CO2. (3) or 741 Moore & Kerrick (1976) interpreted the greater abundance of Tr + Do relative to Tr + Cc to indicate that JOURNAL OF PETROLOGY VOLUME 41 NUMBER 6 JUNE 2000 Table 1: Tremolite zone, mineral modes Sample: 88.76 88.77 Do 83·1 Cc 10·2 Tr Phl Opq Total 89.10 89.11 89.14c 93·3 47·7 90·0 84·3 4·2 50·3 6·4 6·3 9·1 12·7 5·7 2·4 — 0·1 1·0 100·0 1·6 — — 100·0 3·3 <0·1 89.16a 89.16b 89.18 89.20 89.22a 89.22e 59·1 70·4 91·3 90·4 93·2 94·9 79·0 28·0 12·5 6·4 8·3 3·4 3·5 14·6 — 17·1 0·2 0·4 0·3 0·3 100·0 100·0 100·0 — — — 100·0 100·0 2·1 0·8 0·1 0·4 3·2 — 1·6 — 89.25b 4·4 2·0 0·1 0·1 0·2 <0·1 0·2 100·0 100·0 100·0 100·0 100·0 Modes based on 2000 points. reaction (2) formed most of the tremolite in massive dolomite. However, reaction (1) followed by reaction (2) is stoichiometrically equivalent to reaction (3). Any bulk composition that underwent this reaction sequence could not have produced Tr + Do without excess calcite. The rare assemblage Tr + Do reflects either local mineralogical (and hence compositional) zoning on a scale larger than that of a thin section, or local metasomatism. The near absence of talc (and the presence of Do + Qz) in massive dolomite in the talc zone and the presence of Tr + Cc + Do in massive dolomite of the tremolite zone is more consistent with the formation of most tremolite by reaction (3). Also, samples that appear to have originally contained small (<1 cm) chert nodules now contain intergrown Tr + Cc. Forsterite zone The widespread assemblage Fo + Cc + Do defines the forsterite zone. The modal abundance of forsterite in 12 representative samples (Fig. 2) of massive dolomite from the forsterite zone ranges from 0·7 to 13·4% (Table 2). The ubiquitous prograde zoning sequence in the massive dolomite strata across the forsterite isograd is Tr + Do + Cc followed by Fo + Cc + Do, indicating that the forsterite was produced by the reaction Tr+11Do=8Fo+13Cc+9CO2+H2O. (4) The absence of tremolite (Table 2) indicates that reaction (4) went to completion. The univariant assemblage corresponding to reaction (4), Tr + Do + Fo + Cc, is rare in the massive dolomites of the forsterite zone. Periclase zone The assemblage Per + Cc in massive dolomite within >200 m of the intrusive contact defines the periclase zone. The periclase zone is not present throughout the study area. Dolomites lying above the Alta–Grizzly thrust zone along the southern margin of the stock (Fig. 2) characteristically lack periclase, even within a few meters of the intrusive contact (Cook, 1992; Cook et al., 1997). The assemblage Per + Cc was produced by the reaction Do=Per+Cc+CO2. (5) The periclase has been completely replaced with pseudomorphs of retrograde brucite, either by the reaction Per+H2O=Br (6) or by retrograde reaction at the Per–Br–Cal–Do invariant point (IV in Fig. 3): Per+XIPCc+XIPCO2+(1−XIP) H2O→(1−XIP)Br+XIPDo (7) where XIP is the X(CO2) value of the fluid at this invariant point (see Ferry, 1996). The volumetric (modal) abundance of brucite in 12 representative periclase zone samples (Fig. 2) ranges from 1·4 to 29·1%, but is bimodally distributed (Table 3). Five of the 12 samples (samples 88·3, 88·12, 88·36, 88.A2, and 88.A7) contain modest to abundant dolomite, but no brucite, or in one case (88·12) a very small amount of brucite (1·4%). Sample 88·12 is located above the Alta–Grizzly thrust. Dolomite and calcite in these samples exhibit textures indistinguishable from those typical of dolomite-bearing rocks below the periclase isograd, and hence dolomite is interpreted to be primary. Reaction (5) has not been initiated in these five samples. All five of these samples have 18O values >19·4‰, indicating the absence of significant infiltration of water-rich fluids necessary to drive reaction (5) (Bowman et al., 1994). Sample 88·40 contains both brucite and dolomite in significant quantities. This sample displays the same textural relationships as observed in the first group, suggesting the dolomite in sample 88·40 is primary as well. This is a sample of the rare univariant assemblage Per + Cc + Do. Sample 88·40 has an intermediate 18O value of +16·9‰, consistent with intermediate fluxes of fluid infiltration sufficient to initiate, but not complete reaction (5). 742 COOK AND BOWMAN METAMORPHISM OF SILICEOUS DOLOMITES Table 2: Forsterite zone, mineral modes Sample: 88.7 88.8 88.16 88.18 88.20 88.33 88.53 88.55 88.59 88.60 88.C5 88.D2 Do 59·2 9·4 5·8 72·1 24·3 61·8 23·1 57·9 19·4 25·6 58·2 56·4 Cc 26·8 77·7 87·5 24·7 55·0 25·8 75·9 31·0 78·5 71·7 28·0 35·6 Fo 13·4 12·4 6·6 2·5 18·5 11·4 0·7 7·6 1·8 2·1 10·8 0·2 <0·1 0·1 1·9 Sp — 0·2 — — — — — 7·8 — Opq 0·3 0·3 0·2 0·4 1·2 0·9 0·3 1·1 <0·1 0·4 0·5 Phl 0·3 <0·1 0·3 0·8 0·1 <0·1 2·4 0·3 0·1 0·6 0·1 100·0 100·0 100·0 100·0 100·0 100·0 100·0 100·0 100·0 100·0 100·0 100·0 88.40 88.51 88.A2 88.A5 88.A7 88.B6 Total 0·2 — Modes based on 2000 points. Table 3: Periclase zone, mineral modes Sample: 88.3 88.4 88.5 88.12 88.14 88.36 Do 13·7 10·6 0·5 89·9 12·4 98·2 19·4 8·4 6·9 4·3 15·9 4·4 Cc 75·2 68·9 62·5 7·5 57·5 1·1 59·0 59·0 81·1 73·1 71·6 72·3 Chm — Fo 1·3 4·3 — 27·2 — 16·8 29·1 — — — 0·1 — 0·3 0·6 Opq 0·6 — — — 0·1 Lud — — Total 100·0 100·0 27·8 4·9 100·0 1·4 — 100·0 0·4 0·1 100·0 — 4·5 0·8 19·2 — 4·5 Sp — 0·8 1·1 — Br — 2·4 9·6∗ 0·3 — — 1·8 11·2 — — — 7·5 9·6∗ 20·6 — — 15·4 0·2 0·2 2·5 0·6 <0·1 0·4 0·4 — — — — — — — — — — 100·0 100·0 100·0 100·0 100·0 100·0 100·0 Modes based on 2000 points. ∗Includes minor clinohumite, quantity uncertain. The remaining six samples contain significant amounts of brucite (15–30 vol. %) and variable amounts of dolomite (0·5–12%). Dolomite in all of these samples is preferentially associated with brucite pseudomorphs, either as collections of isolated dolomite grains at brucite– calcite grain contacts or as larger dolomite grains enclosing one or more brucite pseudomorphs. These textures are consistent with the formation of this dolomite by a series of retrograde reactions as described by Ferry (1996) and Ferry & Rumble (1997). Reaction (5) has gone to completion in these samples. In a number of the periclase zone samples, original forsterite reacted with dolomite to form clinohumite. Close spatial association of calcite with clinohumite suggests the reaction 4Fo+Do+H2O+HF=Chm+Cc+CO2. humite ranges from 0·8 to 7·5% in samples affected by reaction (8) (Table 3). In most but not all cases (samples 88·36 and 88.A7 are exceptions), periclase zone samples contain either forsterite or humite group minerals. In summary, contact metamorphism of massive dolomite produced tremolite, forsterite, and periclase toward the contact with the Alta granodiorite. The tremolite, forsterite, and periclase isograds approximately parallel the intrusive contact on the south side of the Alta stock, occurring at average distances of 1200, 700, and 200 m, respectively. Few univariant assemblages were observed, and no invariant assemblages were found. One of the principal features of the metamorphic succession in the Alta aureole is that all of the low-variance, isogradic reaction zones are thin (less than tens of meters). (8) Petrographic differentiation between forsterite and clinohumite is difficult. Where identified and measured with electron microprobe monitoring of F and Si, modal clino- MINERAL CHEMISTRY Compositions of the silicate minerals were determined by electron microprobe analysis using the Cameca SX- 743 JOURNAL OF PETROLOGY VOLUME 41 Table 4: Microprobe analyses of talc Sample: 88.70a 89.37a 90.33a 90.38 NUMBER 6 JUNE 2000 Table 5: Microprobe analyses of chain silicates 90.40 Phase: Tr Tr Tr Tr Tr Sample: 88.76 88.77 89.11 89.14c 89.16b wt % SiO2 63·00 63·34 63·38 63·51 63·50 wt % TiO2 0·02 0·02 0·03 0·02 0·03 SiO2 57·87 58·65 57·50 59·17 57·64 Al2O3 0·17 0·13 0·03 0·37 0·13 TiO2 0·08 0·04 0·17 0·04 0·07 FeO 0·05 0·03 <0·01 <0·01 0·07 Al2O3 1·45 0·60 2·24 0·28 1·85 MnO <0·01 <0·01 <0·01 <0·01 0·03 FeO 0·09 0·03 0·17 0·12 0·12 MgO 31·32 31·44 31·29 31·03 31·13 MnO 0·02 <0·01 0·02 <0·01 0·05 CaO 0·15 0·15 0·24 0·06 0·22 MgO 24·42 24·54 23·85 24·64 24·08 Na2O 0·09 0·01 0·04 0·15 0·08 CaO 13·50 13·76 13·58 13·64 13·77 <0·01 <0·01 <0·01 0·01 0·02 Na2O 0·19 0·18 0·15 0·07 0·20 F 0·22 0·28 0·16 0·20 2·64 K2O 0·14 0·05 0·07 0·02 0·14 Cl 0·01 0·01 0·02 0·01 0·03 F 0·35 0·88 0·22 0·78 0·21 H2O 4·61 4·60 4·66 4·65 3·50 Cl 0·02 0·01 0·02 0·02 0·02 OoF+Cl −0·09 −0·12 −0·07 −0·09 Sum 99·55 99·89 99·78 99·92 100·27 4·00 4·00 4·01 4·01 4·01 K2O Si AlIV AlVI — 0·01 — 0·01 — — — −1·11 H2O OoF+Cl Sum — 0·03 0·01 2·04 1·79 2·10 1·85 2·11 −0·15 −0·38 −0·10 −0·33 −0·09 100·02 7·85 7·94 7·79 7·99 7·81 0·06 0·21 0·01 0·19 0·04 0·15 — — — — AlVI 0·08 — — — — — Ti 0·01 Mn — — — — — Ca 0·01 Na 0·01 0·01 — 2·95 0·02 0·01 2·92 — 0·02 K — — — — O∗ 10·00 10·00 10·00 10·00 F Cl OH 0·04 — 1·96 0·06 — 1·94 0·03 — 1·97 1·96 Fe 0·01 — 0·02 — 0·03 0·11 — 0·02 0·01 0·01 0·01 2·93 Mn 0·01 Mg 4·93 4·95 4·82 4·96 4·86 0·01 Ca 1·96 1·99 1·97 1·97 1·99 Na 0·05 0·05 0·04 0·02 K 0·02 0·01 0·01 O∗ 22·00 22·00 22·00 22·00 22·00 F 0·15 0·38 0·10 0·33 0·09 — 10·00 0·04 — 100·17 0·15 — 2·96 100·30 AlIV Fe 2·98 99·99 Si Ti Mg 100·15 0·53 — 1·47 Cl OH ∗Number of oxygens per formula unit. Tc, talc. — — — — — 1·85 — 1·62 1·90 — 0·01 0·05 — 0·02 — — 1·67 1·91 ∗Oxygens per formula unit. Tr, tremolite. 50 microprobe at the University of Utah. A 15 keV beam current and 30 nA sample current were used. Talc compositions approach those of the Mg end-member except for substitution of fluorine in the hydroxyl site (Table 4). Fluorine substitution ranges from 0·03 to 0·53 atoms per formula unit (p.f.u.) [Mg3Si4O10(OH)2]. The observed variation of fluorine content within individual samples was <0·15 atoms p.f.u. from 0·09 up to 0·38 fluorine atoms p.f.u. [Ca2Mg5Si8O22(OH)2]. Moore & Kerrick (1976) reported that the fluorine contents of tremolite decrease with metamorphic grade in the Alta aureole. This was not confirmed by this study. Fluorine contents of individual tremolite grains from each sample varied by <0·1 atoms p.f.u. in all samples. In one sample (89·11), the amphibole exhibits significant Al substitution in both the tetrahedral and octahedral sites. Amphibole Olivine and clinohumite Amphibole compositions are essentially end-member tremolite (Table 5), with fluorine substitution ranging Olivine compositions closely approach end-member forsterite (Table 6). Clinohumites also approach closely Talc 744 COOK AND BOWMAN METAMORPHISM OF SILICEOUS DOLOMITES Table 6: Microprobe analyses of olivine and clinohumite Phase: Chm Chm Fo Fo Fo Sample: 88.51 88.B6 88.8 88.33 88.55 wt % SiO2 38·59 38·03 42·06 42·66 42·56 TiO2 0·16 0·63 0·02 0·01 <0·01 Al2O3 0·02 <0·01 <0·01 0·02 <0·01 FeO 0·24 0·21 1·44 0·61 0·29 MnO <0·01 0·04 0·08 0·11 <0·01 MgO 57·89 58·20 56·53 57·29 57·56 CaO 0·08 0·08 0·11 0·10 0·04 Na2O <0·01 <0·01 <0·01 <0·01 <0·01 K2O <0·01 <0·01 F 2·19 2·50 Cl <0·01 <0·01 — — — 1·85 1·71 — — — H2O OoF+Cl Sum −0·92 100·10 Si Al −1·05 100·36 4·00 — 0·01 0·01 0·02 0·02 — — — — 100·45 100·26 1·00 8·94 8·99 Ca 0·01 0·01 1·00 — — — 0·01 — 1·97 — 1·00 — — 0·03 — Mg <0·01 — — — Fe <0·01 — 100·24 3·94 — Ti Mn <0·01 — 0·01 — 1·99 — 1·99 — Na — — — — — K — — — — — O∗ Cl 16·00 — 16·00 — 4·00 4·00 4·00 — — — F 0·72 0·64 — — — OH 1·28 1·36 — — — ∗Oxygens per formula unit. Chm, clinohumite; Fo, forsterite. end-member compositions. Substitution of fluorine for hydroxyl is apparently required to stabilize the members of this group (Duffy & Greenwood, 1979). Fluorine contents range from 0·64 to 0·72 atoms p.f.u. [Mg(OH)2·nMg2SiO4] in climohumite. Whole-rock chemistry Whole-rock analyses of 18 samples of massive dolomite (Table 7) were performed by XRAL Activation Services Inc. of Ann Arbor, MI, USA. All elements were analyzed by X-ray fluorescence (XRF), except for fluorine and boron, which were analyzed using wet chemical methods and prompt gamma methods, respectively. Reported detection limits are 0·01 wt % for XRF analyses, 20 ppm for fluorine, and 0·5 ppm for boron. Silica contents of individual samples range from 0·19 to 8·06 wt % SiO2, although most contain <3 wt % SiO2. Aluminum and fluorine are the only components in the marbles outside the CaO–MgO–SiO2–H2O–CO2 system that are abundant enough to significantly affect phase equilibria. Al2O3 ranges from trace quantities to 2·1 wt %, although most samples contain <0·5 wt %. Samples from all metamorphic grades contain measurable fluorine, with the highest values for samples from the periclase (2200 ppm) and forsterite (1900 ppm) zones. Six samples of the Alta stock contain from 520 to 740 ppm fluorine (Bowman & Cook, unpublished data, 1992). Iron occurs at trace amounts in marble samples (typically <2800 ppm Fe2O3, Table 7) from all metamorphic grades. Other components are typically <0·1 wt %, and many approach the detection limits of XRF analysis (0·01 wt %). The only rocks that contain significant quantities of iron are thin, bedding-concordant pyroxene (Hd40)– garnet (Ad60) skarns within the periclase zone. The abundance and thickness of the Fe-bearing skarns generally increase toward the contact with the stock or toward sills and dikes emplaced—typically along bedding planes— into the marbles. The skarn layers are depleted in 18O compared with the original 18O values of the marbles, and are essentially in oxygen isotopic exchange equilibrium with the stock (unpublished analyses, Kemp, 1985). The unmetamorphosed siliceous dolomite and the talc and tremolite zone marbles contain <0·5 ppm boron (Table 7; Woodford, 1995). Samples from the Alta stock display boron contents from 4·4 to 11 ppm ( J. R. Bowman & S. J. Cook, unpublished data, 1992). Periclase zone samples contain 20–41 ppm boron (Table 7). Reflecting these high values, ludwigite (an Fe–Mg borate) is often found in thin layers at bedding boundaries, in thin layers that extend beyond layer-concordant skarns along bedding, and as disseminated grains within layers that contain abundant periclase (brucite). Periclase + ludwigite-bearing layers are invariably the most 18O-depleted rocks within the periclase zone, with 18O values of Ζ12‰ (Bowman et al., 1994; Cook et al., 1997). The abundance of ludwigite within the periclase zone does not correlate with distance from the intrusive contact. Instead, like periclase, the abundance of ludwigite appears to be bedding controlled. Within layers, ludwigite appears to increase in abundance toward bedding-parallel skarn. Ludwigite is not observed outside the periclase zone. Despite the absence of ludwigite, several forsterite zone samples also contain significant boron (in one sample, up to 38 ppm; Table 7). The boron in these rocks appears to reside in olivine, accessory phlogopite, and even calcite (Woodford, 1995). 745 JOURNAL OF PETROLOGY VOLUME 41 NUMBER 6 JUNE 2000 Table 7: Representative whole-rock chemical analyses Zone: Per Per Per Per Per Per Fo Fo Fo Sample: 88.12 88.14 88.40 88.51 88.A7 88.B6 88.22 88.53 88.55 wt % SiO2 1·10 1·27 1·79 1·17 3·84 5·40 0·19 0·44 TiO2 0·03 <0·01 <0·01 0·01 0·05 0·03 <0·01 <0·01 6·63 0·09 Al2O3 0·41 0·13 0·13 0·31 1·01 0·41 <0·01 0·04 2·10 Fe2O3 0·20 0·24 0·05 0·46 0·28 0·25 0·01 0·06 0·77 MgO 22·20 23·30 17·00 22·10 10·40 14·90 22·20 6·16 18·50 MnO 0·04 0·03 <0·01 0·01 <0·01 0·02 0·02 <0·01 <0·01 CaO 31·80 35·70 40·10 36·20 45·20 40·90 31·50 50·50 31·80 Na2O 0·03 0·02 0·02 0·02 0·03 0·05 0·03 0·03 0·07 K2O 0·01 <0·01 0·02 <0·01 0·01 0·01 0·01 0·01 0·46 P2O5 0·01 0·08 <0·01 0·01 0·02 0·02 <0·01 <0·05 0·02 LOI 44·10 39·20 40·70 39·40 39·30 38·70 46·40 41·70 38·60 Sum 99·94 99·99 99·84 99·72 100·20 100·70 100·40 99·03 99·06 F (ppm) 210 479 940 530 1900 2200 40 B (ppm) n.a. 20 22 29 41 36 n.a. Ca/Mg∗ 1·03 1·10 1·70 1·18 3·12 1·97 260 0·5 1·02 900 38 5·98 1·24 Zone: Fo Fo Fo Tr Tr Tr Tc Tc Tc Sample: 88.59 88.60 88.C5 88.77 89.16a 89.25b 88.68 88.70a 89.39b wt % SiO2 1·17 1·82 6·41 1·57 8·06 5·59 0·78 1·03 1·48 TiO2 <0·01 0·01 0·09 <0·01 0·01 0·09 0·01 <0·01 0·02 Al2O3 0·06 0·37 1·82 0·05 0·08 1·74 0·08 <0·01 0·21 Fe2O3 <0·01 0·26 0·41 0·06 0·14 0·26 0·07 0·05 0·02 MgO 6·31 8·52 21·00 20·70 16·60 18·10 21·90 21·70 21·40 MnO <0·01 <0·01 0·02 0·02 0·01 0·01 0·03 0·02 0·02 CaO 49·80 46·70 31·60 32·00 35·50 32·20 31·70 31·40 31·30 Na2O 0·04 0·02 0·05 0·02 0·03 0·06 0·02 0·02 0·02 K2O 0·03 0·05 0·27 0·02 0·02 0·30 0·02 <0·01 0·08 P2O5 0·01 0·01 0·02 0·04 0·01 0·02 0·02 0·02 0·02 LOI 43·00 41·30 37·50 45·70 39·10 41·40 44·90 45·00 45·00 100·40 99·11 99·20 100·20 99·57 99·78 99·54 99·24 99·57 Sum F (ppm) 1900 560 800 B (ppm) 10 n.a. 14 Ca/Mg∗ 5·67 3·94 1·08 160 300 <0·5 28 1·11 1·54 780 <0·5 1·28 130 <0·5 1·04 290 <0·5 1·04 500 <0·5 1·05 LOI, loss on ignition. n.a., not analyzed. ∗Molar ratio. PHYSICAL CONDITIONS OF METAMORPHISM Pressure Wilson (1961) used stratigraphic measurements to estimate lithostatic pressure (PL) for the aureole at 100–200 MPa (1–2 kbar). His reconstruction is possibly complicated by stratigraphic thinning over an ancestral Uinta Arch, or thickening from preintrusive thrusting. Multiple preintrusive thrusts were mapped by Baker et al. (1966) on both the north and south sides of the aureole (Fig. 1). John (1991) based similar estimates for the depth 746 COOK AND BOWMAN METAMORPHISM OF SILICEOUS DOLOMITES of emplacement of the Alta stock on fluid inclusion microthermometry in the stock. Mineral assemblages from the Ophir Formation (biotite + andalusite + potassium feldspar + quartz) in the innermost aureole constrain pressures to <220 MPa (Kemp, 1985). Temperature and fluid pressure Calcite–dolomite geothermometry (Cook & Bowman, 1994) indicates temperature limits of 420 ± 50°C for the tremolite isograd, 470 ± 50°C for the forsterite isograd, and 580 ± 25°C for the periclase zone. The minimum fluid pressure necessary to stabilize periclase at 580°C and PL = 150 MPa in the inner aureole is 75 MPa (Figs 3 and 4). Cook & Bowman (1994) noted that these temperatures underestimate peak metamorphic temperature to some degree, particularly for the periclase zone, because calcite in the Per zone has experienced at least some retrograde dolomite exsolution (see above). Hence Pf = 75 MPa should also be regarded as a minimum value. Use of this minimum Pf in the calculation of phase equilibria yields maximum values of X(CO2) at isograds through application of geothermometry, and hence produces conservative estimates of fluid fluxes. PROGRADE T–X(CO 2 ) PATH The sequence of reactions, coupled with phase equilibria and geothermometry, define a prograde metamorphic T–X(CO2) path. Definition of X(CO2) limits at the isograds is needed to calculate fluxes of external fluids that drove the decarbonation reactions in the marbles. Definition of the prograde path is also useful because the trend in X(CO2) with grade is diagnostic of the direction of fluid flow relative to the metamorphic thermal gradient. T–X(CO2) phase equilibria that governed the metamorphism of siliceous dolomite in the Alta aureole are shown in Figs 3 and 4. The microprobe and whole-rock chemical analyses indicate that phase equilibria in the CaO–MgO–SiO2–H2O–CO2 system can, after adjusting for effects of fluorine, be applied to the assemblages. The phase equilibria were calculated assuming a mean lithostatic pressure of 150 MPa and minimum fluid pressure of 75 MPa. Activities of hydrous silicates were corrected for the effects of fluorine substitution by assuming typical fluorine contents for the affected phases (Tables 4–6). Also shown in Fig. 3 is the prograde path followed by massive dolomite. This path is defined by combining the sequence of prograde reactions, the results of calcite– dolomite geothermometry, and the T–X(CO2) phase equilibria (Figs 3 and 4) as discussed below. At the tremolite isograd, intergrown assemblages of Tr + Cc + Do, and the observed prograde sequence of Do + Qz followed by Tr + Cc + Do in most samples Fig. 3. T–X(CO2) phase equilibria applicable to prograde metamorphism of the massive siliceous dolomites at a constant lithostatic pressure (PL) of 150 MPa and a fluid pressure (Pf ) of 75 MPa. Pf is the minimum value required by geothermometry results for the periclase isograd (Cook & Bowman, 1994). Geothermometry results used to limit X(CO2) at the tremolite (Tr), forsterite (Fo), and periclase (Per) isograds are shown by the brackets on either side of the diagram. Temperature limits are considered minima because calcite, particularly in the Per zone, has experienced some retrograde exsolution. Equilibria calculated using thermodynamic data from Helgeson et al. (1978), except for clinohumite, which was extracted from data of Duffy & Greenwood (1979). Unit activities assumed for all nonhydrous solids. Activities of the hydrous silicates corrected for the effects of fluorine substitution by assuming typical fluorine contents for the affected phases (Moore & Kerrick, 1976; Cook, 1992): clinohumite, aChm = 0·35; tremolite, aTr = 0·35; talc, aTc = 0·80. Fugacities of CO2 and H2O calculated using the modified Redlich–Kwong equation of Bowers & Helgeson (1983). The general path of prograde metamorphism is shown as the stepped arrow with stipple pattern, and is based on the geothermometry results and phase equilibria. Limits to fluid X(CO2) at the tremolite isograd are poorly constrained. The lower limit corresponds to the output fluid composition [X(CO2) = 0·38] from the higher-grade Fo isograd. Given the considerable uncertainty in the pore fluid composition of invariant point I, this value is consistent with formation of Tr by both reactions (1) and (3). The upper limit is placed at X(CO2) = 0·95, defined by T = 420°C for the Tr isograd from Cc–Do geothermometry. Between isograds, pore fluid composition is presumably constant owing to the lack of reaction capacity in the high-variance assemblages. imply that most of the tremolite in massive dolomite formed by reaction (3). Therefore, formation of tremolite that contains a typical fluorine content by reaction (3) (Fig. 3) requires conditions between invariant points I and II [T = 375–450°C, X(CO2) = 0·54–0·99, at Pf = 75 MPa]. A second-order polynomial fit to the calcite–dolomite geothermometry results for the south aureole (Cook & Bowman, 1994) yields a temperature 747 JOURNAL OF PETROLOGY VOLUME 41 Fig. 4. T–X(CO2) phase equilibria governing the formation of clinohumite- and periclase-bearing mineral assemblages in the periclase zone. Invariant point IV, Do + Cc + Per + Br + Fluid; invariant point V, Do + Cc + Fo + Per + Chm + Fluid. Equilibria calculated as in Fig. 3. Unit activities assumed for all solids except clinohumite (aChm = 0·35). of 420 ± 50°C for the tremolite isograd, but this limit does not further constrain the pore fluid composition. The narrow spatial interval (p50 m) in the aureole that contains the univariant assemblage corresponding to reaction (3) suggests that temperature changes—and resulting increases in X(CO2)—across this reaction zone were modest. At least some tremolite in massive dolomite formed directly from talc by reaction (2) (Moore & Kerrick, 1976). The tremolite isograd is thus a composite one at which tremolite formed by two different reactions. The formation of tremolite by two reactions indicates that pore fluid compositions at the talc–tremolite boundary were variable, and on both the low- and high-X(CO2) side of invariant point I (Fig. 3). Rare univariant assemblages in nodular dolomite recording reaction (2) (Moore & Kerrick, 1976) suggest localized areas of elevated X(CO2) and effective reaction buffering within nodular dolomite strata in the outer aureole. However, the paucity of low-variance assemblages in both massive and nodular dolomite suggests ineffective reaction buffering of pore fluid compositions in both the tremolite and talc zones. Therefore the existence of distinct prograde paths on both the low- and highX(CO2) side of invariant point I that is required to form tremolite by two reactions indicates that fluid infiltration was heterogeneous in character in the outer aureole. The observed prograde sequence from Tr + Do + Cc to Fo + Do + Cc across the forsterite isograd indicates that most of the forsterite was produced by reaction (4) (Fig. 3). A second-order polynomial fit to the NUMBER 6 JUNE 2000 Cc–Do geothermometry results for the south part of the aureole (Cook & Bowman, 1994) yields 470 ± 50°C at 700 m (the average distance of the forsterite isograd from the igneous contact; Fig. 2). The total range of temperature estimates for the isograd (420–520°C) would limit X(CO2) values from 0·02 to 0·38 (Fig. 3). Cc–Do temperatures are below 500°C in the outer forsterite zone, which suggests maximum temperature of 490°C or below and maximum X(CO2) = 0·25 at the isograd. Phase equilibria and calcite–dolomite geothermometry restrict the formation of periclase by reaction (5) (Figs 3 and 4) to H2O-rich conditions. A second-order polynomial fit to the Cc–Do geothermometry results for the south part of the aureole (Cook & Bowman, 1994) yields 580 ± 25°C at 200 m (the average distance of the periclase isograd from the igneous contact below the Alta–Grizzly thrust; Fig. 2). The phase equilibria require minimum temperatures of 578°C and minimum fluid X(CO2) >0·021 at the periclase isograd (invariant point IV). The assemblage Per + Chm + Cc is common in the periclase zone. Clinohumite appears to result from reaction (8). This assemblage requires maximum T– X(CO2) conditions below invariant point V [Fig. 4; T = 602°C, X(CO2) = 0·038]. Reaction (8) is closely associated with reaction (5) in T–X(CO2) space (Fig. 4). This close association requires thermal limits for this reaction close to those for reaction (5) ( T = 578–602°C). This temperature range would limit X(CO2) values from 0·028 to 0·038 at the periclase isograd. The combined T–X(CO2) limits for the isograds define a generalized prograde path for the massive dolomite in the Alta aureole (shown by the arrow in Fig. 3). Limits to X(CO2) decrease in steps from values greater than or equal to invariant point I (approximately [0·4–0·5) at the tremolite isograd, to between 0·04 and 0·38 at the forsterite isograd, and to <0·04 at the periclase isograd. A prograde path of H2O enrichment for the tremolite to periclase zones is not a buffered one, because the latter would evolve to progressively higher X(CO2) values with increasing grade. Indeed, the paucity of low-variance assemblages in all zones indicates that the buffering or reaction capacity of these rocks has been exhausted, and suggests ineffective buffering within the metamorphic zones (with localized exceptions within the tremolite and talc zones). Therefore the prograde path is illustrated as a series of stepped increases in X(CO2) at each reaction front with intervals of constant X(CO2) within each metamorphic zone. FLUID–ROCK INTERACTION AND FLUID FLUX IN THE ALTA AUREOLE Geometry of fluid flow A variety of mineralogical, geochemical and phase equilibria evidence demonstrate that siliceous dolomite in the 748 COOK AND BOWMAN METAMORPHISM OF SILICEOUS DOLOMITES south Alta Aureole experienced significant infiltration of water-rich fluids during its prograde metamorphism and that the fluid flow was in the direction of falling temperature. Nature of prograde T–X(CO2) path The prograde T–X(CO2) path defined by the mineralogy and geothermometry data is a path of step-wise H2O enrichment with increasing metamorphic grade for the three inner zones of the south Alta aureole. This is the trend predicted by simple models of down-temperature fluid flow and mineral reaction (e.g. Ferry, 1991,1994). For T–X(CO2) conditions where the [∂X(CO2)/∂T]P slopes of mixed-volatile equilibria are positive [the case for T–X(CO2) conditions in the Alta aureole], infiltrationdriven prograde metamorphism (e.g. decarbonation) will increase X(CO2) values in the downstream direction of flow, because of the production of CO2 at reaction fronts and its subsequent transport downstream. This trend will occur whether infiltration involves up-temperature flow of equilibrium fluids or infiltration of disequilibrium water-rich fluids either up- or down-temperature. As a result, X(CO2) will increase with rising temperature in response to up-temperature flow (Baumgartner & Ferry, 1991; Ferry, 1991), but will decrease with rising temperature in response to down-temperature flow of disequilibrium water-rich fluids (Ferry, 1991). These opposing trends are also maintained for situations involving transient temperature gradients and when the effects of reaction kinetics and dispersion are considered (Lasaga & Rye, 1993; Huang, 1994). Thus the overall trend of decreasing X(CO2) with increasing grade preserved in the dolomitic marbles of the south Alta aureole is consistent with down-T flow during metamorphism, in at least the periclase and forsterite zones and probably the tremolite zone as well. narrow (less than tens of meters) reaction zones that characterize the periclase, forsterite, and tremolite isograds; (4) widespread formation of the high-variance assemblages Tr + Cc + Do and Tc + Cc + Do. Some other features of the Alta aureole are problematic. Moore & Kerrick (1976) observed the lowvariance assemblage Tr + Tc + Cc + Do + Qz as reaction rims on chert nodules in dolomites from the tremolite zone. In our experience, this assemblage is not common. Furthermore, we have not observed quartz and dolomite in contact within either the talc or tremolite zone in samples that display talc or tremolite, nor have we found evidence for coexistence of calcite and dolomite within reaction rims around chert nodules. The most common assemblages in the talc zone are either unreacted Do + Qz or Tc + Cc + Do, in which reaction rims of Tc + Cc separate quartz-bearing nodules from dolomite rock matrix. However, such features suggest that although down-T fluid flow is a general characteristic of the aureole, the outer aureole shows evidence for variable X(CO2). Fluid flow in the outer aureole is thus at least somewhat heterogeneous and may be geometrically complicated on several scales. Boron and iron metasomatism Marbles within the periclase and forsterite zones contain more boron than do lower-grade equivalents. This boron enrichment is bedding controlled in the periclase zone. Regardless of metamorphic grade, the siliceous dolomite samples contain trace element levels of iron. Iron-rich, bedding-controlled skarn layers are found only within the periclase and inner forsterite zones. Because the Alta stock contains significant concentrations of both boron and iron compared with the unmetamorphosed siliceous dolomite, it is likely that these elements were introduced into the periclase and forsterite zone marbles by beddingcontrolled fluid infiltration from the Alta stock. Evidence from mineral assemblages Forward models of fluid flow and decarbonation reactions (Ferry, 1994; Dipple & Ferry, 1996) predict sequences of mineral assemblages that would develop in siliceous dolomite from up- or down-T fluid flow as a function of the time-integrated fluid flux (qTIFF). For example, the formation of periclase is likely to result from down-T flow, whereas the widespread development of low-variance assemblages such as Tc + Qz + Do + Cc or Tc + Tr + Do + Cc implies up-T flow. The mineral assemblages of the Alta aureole suggest formation during down-T fluid flow. The mineralogical evidence for this include the: (1) presence of periclase up to 200 m from the igneous contact in the inner aureole; (2) paucity of low-variance assemblages in all metamorphic zones; (3) Geothermometry and stable isotope results Independent calcite–dolomite geothermometry and stable isotope results also support down-T fluid flow. Cook & Bowman (1994) noted that the maximum temperature profile calculated for the south aureole from geologically reasonable, two-dimensional conductive cooling models of the Alta stock significantly underestimates the calcite– dolomite geothermometry results at all grades (fig. 7, Cook & Bowman, 1994). These calcite–dolomite temperatures are themselves likely minimum estimates of peak metamorphic temperatures in the aureole (as discussed earlier). This discrepancy implies that significant advective heat transfer occurred from the stock into much of the aureole during contact metamorphism. The 749 JOURNAL OF PETROLOGY VOLUME 41 geometry of the extensive 18O depletion pattern developed up to 300 m into dolomitic marble in the south aureole is consistent with down-temperature fluid flow laterally away from the igneous contact (fig. 15, Bowman et al., 1994). Significant bed-to-bed variations in 18O values within the periclase zone correlate with the presence and abundance of periclase (fig. 8, Cook et al., 1997). These characteristics, together with the bedding-controlled development of ludwigite and iron-bearing skarn, indicate that the down-T flow was also largely bedding controlled and subhorizontal within the periclase and inner forsterite zones. Modeling approach First-order estimates of time-integrated molar fluid fluxes (qmTIFF) responsible for the infiltration-driven metamorphism in the south part of the Alta aureole can be made with simple models of down-temperature fluid flow linked with fluid–mineral reactions. The locations of isograds, the prograde T–X(CO2) path, and the measured abundances of minerals (mineral modes) provide the quantitative basis for the calculation of these values of qmTIFF. Conceptual model A conceptual one-dimensional model of coupled fluid flow and mineral reaction based on Ferry (1996) is used to compute values of qmTIFF and is illustrated in Fig. 5. Fluid infiltration is down-temperature. Siliceous dolomites are infiltrated with pure water (consistent with magmatic fluid from the Alta stock), which is out of equilibrium with the carbonate rocks. If the effects of diffusion and dispersion are ignored and local equilibrium is attained during decarbonation reaction, infiltration of water-rich fluid produces decarbonation reaction front(s), which migrate down the flow column as a function of the qmTIFF and the reaction capacity of the rocks. A decarbonation reaction buffers pore fluid composition only at the reaction front, which increases the X(CO2) value of the fluid at, and flowing downstream from, this reaction front. Because the decarbonation reaction will normally proceed to completion, the rocks upstream from a reaction front have no remaining reaction capacity with respect to this reaction. Hence the composition of the infiltrating or input fluid within this metamorphic zone will not be modified by these high-variance assemblages, and will remain constant. For the same reason, the composition of the output fluid leaving an upstream reaction front is assumed to be the composition of the infiltrating or input fluid for the next reaction front downstream. NUMBER 6 JUNE 2000 Ferry (1996) has shown that the time-integrated fluid flux (qTIFF) responsible for migration of a decarbonation reaction front during down-temperature flow is described for one-dimensional flow without diffusion or dispersion by zf qTIFF=(vCO2)(max) 1−X(CO2) dz XCO2−X(CO2)0 z0 (9) +(vCO2)(max)(zf−z0) where vCO2 is the number of moles of CO2 in the decarbonation reaction, max is the maximum reaction progress or reaction capacity of a rock (e.g. the value of reaction progress at the completion of the reaction), X(CO2)0 is the composition of the infiltrating or input fluid responsible for driving the isogradic reaction front, X(CO2) is the equilibrium fluid composition at the reaction front (and also the composition of the output fluid downstream from this reaction front), and z0 and zf are the initial and final distances, in meters, of the isogradic reaction front (isograd) from the start of the flow path. For these calculations, fluid flow is considered subhorizontal and away from the igneous contact; with such geometry, z is equivalent to the observed average distances of isograds from the igneous contact. This flow geometry is relatively well established in the periclase and inner forsterite zones by the bedding-controlled nature of B and Fe metasomatism discussed above and by stable isotope evidence presented elsewhere (Cook et al., 1997). Subhorizontal flow is less well established for the outer forsterite and tremolite zones, but the advective heating implied for these zones by Cc–Do geothermometry is consistent with such flow geometry. The assumption of horizontal flow provides a minimum estimate of z in the south Alta aureole, and therefore a conservative estimate of qmTIFF. Fluid composition limits Estimates of qmTIFF values based on equation (9) will be sensitive to limits placed on fluid compositions, just as were earlier box model approaches to estimating water/ rock ratios (Wood & Graham, 1986). The estimated values of input and output pore fluid compositions at each isograd, average temperatures of reaction, temperature ranges, and positions of isograds that are used in calculating qmTIFF are summarized in Table 8. Initial rock compositions 750 Unmetamorphosed equivalents of Alta marbles contain <10 modal % calcite, which corresponds to initial atomic Ca/Mg ratios of 1·20 or less. The Ca/Mg ratios of COOK AND BOWMAN METAMORPHISM OF SILICEOUS DOLOMITES Fig. 5. Idealized one-dimensional flow model used to estimate fluid infiltration in the southern Alta aureole (after Ferry, 1996). Periclase, forsterite, and tremolite reaction fronts plotted at observed average distances of these isograds from the Alta stock. The values X(CO2)in and X(CO2)out at each reaction front refer to the X(CO2) value of the infiltrating (input) and equilibrium (output fluid) pore fluid at the reaction front, respectively. ratios close to 1·2, and probably have not lost much Mg during high-grade metamorphism. All of the calculations presented in the following sections assume that the rock retained its original Ca/Mg ratio throughout the metamorphic event. If samples with elevated Ca/Mg ratios have experienced magnesium loss, reaction progress (and qmTIFF) are probably underestimated to some degree in these samples, particularly in the periclase zone. However, most of the high Ca/Mg rocks there (with the exception of 88.B6) also have high 18O values (>17‰; Cook et al., 1997), which suggest they have experienced limited fluid flux. Table 8: Prograde T–X(CO2) limits Isograd Reaction zf – z0 T (°C) T range X(CO2)in X(CO2)out Tr 3 1200 425 400–450 0·38 Fo 4 700 470 420–520 0·04 0·38 Chm 9 200 580 578–602 0·0 0·04 Per 5 200 580 578–602 0·0 0·04 0·95 Temperature at each isograd based on best polynomial fit to calcite–dolomite geothermometry data (Cook & Bowman, 1994). Temperature range based on estimated errors in calcite–dolomite geothermometry and phase equilibria illustrated in Figs 3 and 4. X(CO2)out, maximum allowed by geothermometry and phase equilibria. Reaction progress marble samples (Table 7) range from 1·03 to 5·98 but are bimodally distributed. Almost half of the periclase and forsterite zone samples exhibit Ca/Mg ratios in excess of three. Lower-grade equivalents of these high Ca/Mg rocks are rare, which suggests either that a calcite-rich protolith is underrepresented in our lowgrade samples (Table 7), or that some higher-grade rocks may have lost Mg (or gained Ca) during metamorphism. However, half of the high-grade rocks exhibit Ca/Mg Values of reaction progress () were measured on 12 representative samples from the tremolite, forsterite, and periclase zones (Tables 9–11). Reaction progress is calculated using measured mineral modes (Tables 1–3) together with knowledge of the mineralogical and chemical composition of the unreacted protolith, and following the methods of Ferry (1986). End-member mineral compositions were assumed for all solid phases, which both simplifies the calculation of reaction progress and is reasonable given the mineral compositions in the Alta aureole (Tables 4–6). 751 JOURNAL OF PETROLOGY VOLUME 41 NUMBER 6 JUNE 2000 Table 9: Tremolite zone, reaction progress and fluid flux Sample: 88.76 2·1 × 102 8·8 × 101 5·9 × 101 1·2 × 102 3·3 × 102 4·7 × 102 6·3 × 102 7·7 × 101 2·9 × 101 1·2 × 102 5·9 × 101 1·6 × 102 m q TIFF v q TIFF 88.77 89.10 89.11 89.14c 89.16a 89.16b 89.18 89.20 89.22a 89.22e 89.25b 1·9 × 106 8·0 × 105 5·4 × 105 1·1 × 106 3·0 × 106 4·3 × 106 5·7 × 106 7·0 × 105 2·7 × 105 1·1 × 106 5·4 × 105 1·5 × 106 1·5 × 102 6·4 × 101 4·3 × 101 8·8 × 101 2·4 × 102 3·4 × 102 4·6 × 102 5·6 × 101 2·1 × 101 8·6 × 101 4·3 × 101 1·2 × 102 Calculations for sample modes given in Table 1 based on reaction (3) assuming X(CO2)in = 0·38, X(CO2)out = 0·95. in mol/ m3, qmTIFF in mol/m2, and qvTIFF (volume flux) in m3/m2. Volume flux calculations assume a mean molar volume of 8·0 × 10−5 m3/mol. Table 10: Forsterite zone, reaction progress and fluid flux Sample: 88.7 88.8 88.16 88.18 88.20 88.33 88.53 88.55 88.59 88.60 88.C5 88.D2 Fo3·8 × 102 3·5 × 102 1·9 × 102 7·1 × 101 5·3 × 102 3·3 × 102 2·0 × 101 2·2 × 102 5·1 × 101 6·0 × 101 3·1 × 102 2·2 × 102 Tr3·8 × 102 3·5 × 102 1·9 × 102 7·1 × 101 5·3 × 102 3·3 × 102 2·0 × 101 2·2 × 102 5·1 × 101 6·0 × 101 3·1 × 102 2·2 × 102 m q TIFF Fo6·8 × 106 6·3 × 106 3·4 × 106 1·3 × 106 9·4 × 106 5·8 × 106 3·6 × 105 3·9 × 106 9·1 × 105 1·1 × 106 5·5 × 106 4·0 × 106 Tr2·0 × 106 1·9 × 106 1·0 × 106 3·8 × 105 2·8 × 106 1·7 × 106 1·1 × 105 1·2 × 106 2·7 × 105 3·2 × 105 1·6 × 106 1·2 × 106 qvTIFF Fo4·4 × 102 4·1 × 102 2·2 × 102 8·2 × 101 6·1 × 102 3·8 × 102 2·3 × 101 2·5 × 102 5·9 × 101 6·9 × 101 3·6 × 102 2·6 × 102 Tr1·6 × 102 1·5 × 102 8·0 × 101 3·0 × 101 2·2 × 102 1·4 × 102 8·5 × 100 9·2 × 101 2·2 × 101 2·6 × 101 1·3 × 102 9·5 × 101 Calculations for sample modes given in Table 2 based on reaction (4) and assuming X(CO2)in = 0·04. Equilibrium or output X(CO2)out = 0·38. in mol/m3 rock, qmTIFF in mol/m2, and qvTIFF in m3/m2. Volume flux calculations assume a mean molar fluid volume of 6·5 × 10−5 m3/mol. Values for precursor Tr calculated as in Table 9. Calculation of fluid fluxes Tremolite zone As discussed above, the bulk of the tremolite in massive dolomite was produced by reaction (3). Measured reaction progress in the 12 samples from the tremolite zone ranges from 2·9 × 101 to 6·3 × 102 mol tremolite/m3 rock, and averages 1·9 × 102 mol/m3 (Table 9). The absence of quartz from tremolite zone samples indicates that reaction (3) went to completion; hence the calculated values of reaction progress are maxima, and correspond to the reaction capacities (max) of these samples with respect to reaction (3) and equation (9). The input fluid X(CO2) of 0·38 corresponds to the fluid composition of the output fluid from the highergrade forsterite zone. The output fluid X(CO2) of 0·95 at the tremolite reaction front is an upper limit based on the best estimate of temperature (425°C) at the isograd from the calcite–dolomite geothermometry and phase equilibria (Table 8, Fig. 3). Given these conservative estimates of fluid composition, the measured values of reaction progress, and the average location of the tremolite isograd (1200 m from the igneous contact), calculated values of qmTIFF experienced by the tremolite zone range from 2·7 × 105 to 5·7 × 106 mol/m2, and average 1·8 × 106 mol/m2 (Table 9). Because the widest possible range of fluid X(CO2) was used, these fluxes are minimum values of fluid flux. More restrictive limits for output X(CO2) are suggested by the narrow tremolite reaction zone, and would produce a corresponding increase in the fluid flux required to produce the measured extents of reaction and observed position of the tremolite isograd. Forsterite zone The forsterite isograd is the result of reaction (4). The modal abundance of forsterite in the 12 samples in Table 2 ranges from 0·7 to 13·4 vol. %, corresponding to 752 COOK AND BOWMAN METAMORPHISM OF SILICEOUS DOLOMITES Table 11: Periclase zone, reaction progress and fluid flux Sample: 88.3 88.4 88.5 88.12 88.14 88.36 88.40 88.51 88.A2 88.A5 88.A7 88.B6 Br— 7·8 × 103 1·1 × 104 5·3 × 102 1·1 × 104 — 6·8 × 103 1·2 × 104 — 8·4 × 103 — 6·2 × 103 Per— 7·8 × 10 1·1 × 10 5·3 × 10 1·1 × 10 — 6·8 × 10 1·2 × 10 — 8·4 × 10 — 6·2 × 103 3 4 2 6·6 × 10 2·2 × 10 — 1 Chm—∗ 4 3 4 3 1·2 × 10 5·6 × 10 2·3 × 10 2·3 × 10 — 2 2 1 2 9·1 × 10 —∗ 2 3·8 × 102 1 Fo2·7 × 10 3·4 × 10 1·1 × 10 2·0 × 10 6·0 × 10 1·1 × 10 1·1 × 10 1·1 × 10 3·2 × 10 4·6 × 10 2·7 × 10 1·9 × 102 2 1 2 1 1 1 2 2 2 1 2 Tr2·7 × 102 3·3 × 101 1·1 × 102 1·8 × 101 5·9 × 101 4·0 × 101 1·1 × 102 1·1 × 102 3·2 × 102 4·4 × 101 2·7 × 102 1·9 × 102 m q TIFF Br— 1·6 × 106 2·3 × 106 1·1 × 105 2·2 × 106 — 1·4 × 106 2·4 × 106 — 1·7 × 106 — 1·2 × 106 Per— 4·1 × 107 5·9 × 107 2·8 × 106 5·8 × 107 — 3·6 × 107 6·2 × 107 — 4·4 × 107 — 3·3 × 107 6·4 × 105 2·9 × 105 1·2 × 106 1·2 × 106 — 4·8 × 105 — 2·0 × 106 3·5 × 105 1·1 × 106 — Chm— Fo1·4 × 106 1·7 × 105 5·5 × 105 1·0 × 105 3·0 × 105 5·8 × 104 5·8 × 105 5·8 × 105 1·6 × 106 2·3 × 105 1·4 × 106 9·7 × 105 Tr4·2 × 105 5·0 × 104 1·7 × 105 2·8 × 104 8·9 × 104 6·1 × 104 1·7 × 105 1·7 × 105 4·9 × 105 6·7 × 104 4·2 × 105 2·9 × 105 qvTIFF Br— 1·0 × 102 1·4 × 102 7·2 × 100 1·4 × 102 — 8·7 × 101 1·5 × 102 — 1·1 × 102 — 8·0 × 101 Per— 2·6 × 10 3·8 × 10 1·8 × 10 3·7 × 10 — 2·3 × 10 4·0 × 10 — 2·8 × 10 — 2·1 × 103 4·2 × 10 1·9 × 10 7·8 × 10 7·8 × 10 — 3·1 × 10 — 3 3 2 2·3 × 10 7·5 × 10 — 1 Chm— 1 3 3 1 1 1 3 3 1 1·3 × 102 1 Fo9·0 × 10 1·1 × 10 3·6 × 10 6·6 × 10 2·0 × 10 3·6 × 10 3·6 × 10 3·6 × 10 1·0 × 10 1·5 × 10 9·0 × 10 6·3 × 101 1 1 1 0 1 0 1 1 2 1 1 Tr3·3 × 101 4·0 × 100 1·3 × 101 2·2 × 100 7·1 × 100 4·9 × 100 1·4 × 101 1·4 × 101 3·9 × 101 5·4 × 100 3·3 × 101 2·3 × 101 Calculations for sample modes given in Table 3 based on reactions (8) (Chm) and (5) (Per) assuming X(CO2)in = 0·0, X(CO2)out = 0·038; reaction (6) (Br) assuming hydration of Per by pure water. in mol/m3 rock, qmTIFF in mol/m2, and qvTIFF in m3/m2. Volume calculations for reactions (5) and (8) assume a mean molar fluid volume of 6·4 × 10−5 m3/mol; for reaction (6), 5·5 × 10−5 m3/mol. Values for precursor Tr and Fo assuming conditions as in Tables 9 and 10. ∗Includes minor clinohumite, quantity uncertain. reaction extents from 2·0 × 101 to 5·3 × 102 mol forsterite/m3 of rock, and averaging 2·3 × 102 mol/m3 (Table 10). The absence of tremolite from the samples indicates that reaction (4) has gone to completion, and the calculated values of reaction progress are maxima. The calculations use an input fluid X(CO2) of 0·04, and an output fluid X(CO2) of 0·38 at the forsterite reaction front. The latter is an upper X(CO2) limit consistent with phase equilibria for reaction (4) and with calcite–dolomite geothermometry (Table 8). The former corresponds to the fluid X(CO2) evolved by the highergrade periclase-producing reaction. Given these conservative limits to input and output X(CO2), the measured values of reaction progress, and the average location of the forsterite isograd (700 m), the calculated values of qmTIFF experienced by the forsterite zone range from 3·55 × 105 to 9·4 × 106 mol/m2, and average 4·1 × 106 mol/m2 (Table 10). Because the maximum difference between input and output fluid X(CO2) was used, these fluid fluxes are minimum values. Rocks from the forsterite zone also underwent subordinate extents of fluid–rock interaction associated with formation of precursor tremolite. Table 10 also summarizes values of qmTIFF responsible for this earlier segment of fluid–rock interaction experienced by the forsterite zone rocks, calculated using the same conditions as the tremolite zone samples. These calculations indicate that values of qmTIFF required to produce tremolite before the formation of forsterite range from 1·0 × 105 to 2·8 × 106 mol/m2 (average 1·2 × 106 mol/m2). Periclase zone Five of the 12 samples measured from the periclase zone contain no, or very little brucite, no clinohumite, and still contain abundant dolomite (Table 3). These five samples apparently did not have the permeability to experience sufficient fluid fluxes to drive reactions (5) and (8); their high 18O values (all >17·3‰; all but one >19·4‰; Bowman et al., 1994) support this notion. The other seven, brucite-bearing periclase zone samples (Table 3) experienced formation of abundant periclase by reaction (5), clinohumite by reaction (8), the hydration of periclase to brucite via reaction (6) and/or (7), and 753 JOURNAL OF PETROLOGY VOLUME 41 the retrograde formation of dolomite. Table 11 summarizes the results of reaction progress and fluid flux calculations for the prograde reactions and for hydration of periclase to brucite during the initial cooling phase of the innermost aureole. Electron microprobe monitoring of F and Si shows that most brucite-bearing samples contain only humite minerals, whereas those lacking brucite contain only forsterite. Two of the 12 samples contain both forsterite and clinohumite. In accordance with this observation, the fluid fluxes calculated for the samples in Table 11 assume either complete reaction of forsterite to clinohumite (in brucite-bearing samples) or completely unreacted forsterite (in samples lacking brucite). Modal clinohumite ranges from 1·1 to 7·5 vol. % in those samples affected by reaction (8) (Table 3). This corresponds to a range of reaction extent from 5·6 × 101 to 3·8 × 102 mol clinohumite/m3 of rock, with an average of 1·7 × 102 mol/m3 (Table 11). The eight brucite-bearing samples in Table 3 (all but sample 88.12 are located beneath the Alta–Grizzly thrust fault) contain modal brucite from 1·4 to 29·1%. All but sample 88.12 contain >15·4% brucite. Assuming moleper-mole replacement of periclase by brucite, modal periclase would range from 0·6 to 13·3 vol. %. Compared with constant volume replacement, mole-per-mole replacement yields less periclase, and thus a minimum estimate of the time-integrated flux of infiltrating fluid. This range of modal periclase corresponds to minimum reaction extents from 5·3 × 102 to 1·2 × 104 mol periclase/m3 of rock, with an average of 8·0 × 103 mol/ m3. The calculations for reactions (5) and (8) use an input fluid X(CO2) of 0·00, and an output fluid X(CO2) of 0·04 at the periclase reaction front. The latter value is the maximum possible at the periclase reaction front from calcite–dolomite geothermometry and phase equilibria constraints (Figs 3 and 4). Calculations for reaction (6) assume hydration of periclase in pure water to produce brucite. Use of pure water for the input fluid in these calculations is compatible with the notion of fluids infiltrating the periclase zone from the adjacent Alta stock (see discussion below) and minimizes the estimated fluid flux for these reactions. Given these limits to input and output fluid composition, calculated values of qmTIFF from 2·9 × 105 to 2·0 × 106 mol fluid/m2 would be required for the formation of the clinohumite in these samples. Given these same limits to input and output fluid composition and the average location of the periclase isograd (200 m from the igneous contact), calculated values of qmTIFF required to form periclase by reaction (5) range from 2·8 × 106 to 6·2 × 107 mol fluid/m2, with an average of 4·2 × 107 mol/m2. Additionally, a molar fluid flux ranging from 1·1 × 105 to 2·35 × 106 mol/ m2 is required to hydrate periclase to produce brucite by NUMBER 6 JUNE 2000 reaction (6) during the initial retrograde cooling of the periclase zone. Rocks from the periclase zone also experienced subordinate extents of fluid–rock interaction associated with earlier formation of forsterite and tremolite. Table 11 summarizes the values of qmTIFF responsible for these previous stages of interaction using the same conditions as the tremolite and forsterite zone samples. The calculations indicate that fluid fluxes ranging from 5·8 × 104 to 1·6 × 106 mol fluid/m2 were required to produce forsterite, and from 2·8 × 104 to 4·85 × 105 mol fluid/m2 for the formation of tremolite before the formation of forsterite. DISCUSSION On average, the values of qmTIFF experienced by the periclase, forsterite, and tremolite zones are 4·2 × 107, 6·65 × 105, and 2·0 × 105 mol fluid/m2, respectively. The close spatial association of reacted and unreacted chert nodules in both the tremolite and talc zones plus the formation of tremolite by two reactions imply that fluid flow in the outer aureole was heterogeneous. The bimodal distribution of qmTIFF values for the periclase zone samples indicates that fluid flow was also heterogeneous in character in the innermost aureole. Some layers experienced significant values of qmTIFF; in response, dolomite was consumed by reaction (5) and these layers became highly depleted in 18O. In contrast, other dolomite-bearing layers do not contain periclase (brucite) and have high 18O values; these layers have not experienced significant fluid flux. The average qmTIFF estimated for formation of the periclase zone is about 200 times greater than the average qmTIFF estimated for the tremolite zone and about 60 times greater than that estimated for the forsterite zone. There are several possible explanations for part or all of these large differences. For this section of the Alta aureole, the idealized flow geometry is radial within a horizontal plane (e.g. flow concordant with subhorizontal sedimentary bedding) outward from the Alta stock, idealized as a vertical cylinder (Cook et al., 1997). Because of the radial divergence of flow lines in this version of one-dimensional flow geometry, the qmTIFF will decrease as a function of the first power of distance from the Alta stock. Given the relative locations of the periclase (200 m), forsterite (700 m), and tremolite isograds (1200 m) from the igneous contact, the consequence of radial flow would be that the qmTIFF at the periclase isograd should be only 3·5 and six times that at the forsterite and tremolite isograds, respectively. Even accounting then for the effects of radial flow geometry, the qmTIFF estimated for the periclase zone is still almost 20 times that for the forsterite zone, and 35 times that estimated for the tremolite zone. Thus radial flow 754 COOK AND BOWMAN METAMORPHISM OF SILICEOUS DOLOMITES geometry does not account for the differences in minimum qmTIFF estimated for the three isograds. The large differences in qmTIFF may also reflect in part the assumptions used to estimate qmTIFF. Our approach of selecting the maximum possible differences between the X(CO2) values of the input and output pore fluids for the fluid flux calculations results in minimum estimates of the quantities of qmTIFF for all three zones. However, this difference can be limited far more closely at the periclase isograd than at either the forsterite or tremolite isograd (Fig. 3). This is because the greater uncertainty in the calcite–dolomite geothermometry results below 500°C combined with the flatter [∂X(CO2)/∂T]P slopes of the forsterite- and tremolite-forming reactions produce far larger possible differences between the X(CO2) values of the input and output fluids at the forsterite and tremolite reaction fronts than at the periclase front. Consequently, we potentially underestimate values of qmTIFF at the former two isograds far more than at the periclase isograd. To illustrate, calculated values of qmTIFF can be increased in the forsterite and tremolite zones to match that of the periclase zone (adjusted for radial flow) by decreasing the equilibrium fluid composition at the forsterite and tremolite reaction fronts to 0·16 and 0·52, respectively. Both these reduced values are compatible with the fluid composition limits defined by the existing phase equilibria [given the large uncertainties in the X(CO2) location of invariant point I; Fig. 3] and geothermometry data for these two reaction fronts. Indeed, the observed narrow reaction zones (less than tens of meters) that characterize both forsterite and tremolite isograds suggest that the actual differences between input and output fluid compositions at these reaction fronts may be much less than the maxima allowed by uncertainties in temperature. Alternatively, the differences in values of qmTIFF calculated for the three zones may be real, and indicate that the computed values of qmTIFF for the tremolite and forsterite zones are much less than that for the periclase zone. Because of the subhorizontal, bedding-concordant fluid flow inferred for at least the inner Alta aureole (this paper; Bowman et al., 1994; Cook et al., 1997), these differences in qmTIFF would imply that fluid has leaked out of the flow system between the periclase and tremolite zones. Ferry (1994) has inferred similar behavior in the Beinn an Dubhaich aureole. This is a potentially significant result, and suggests that not only fluid fluxes, but perhaps additionally the flow geometry, could be distinct in the outer aureole from that documented by this and previous studies for the inner aureole. These results raise new questions about whether, how, and where these fluids escape. Future work needs to focus on locating these escape zones and documenting what they look like geologically and geochemically. A number of small high-angle faults located in the south aureole, particularly one nearly coincident with the surface trace of the forsterite isograd (Fig. 2), are possible candidates for fluid escape. Geological relationships (e.g. cross-cutting relationships) do not indicate whether these faults are pre- or post-intrusion. Oxygen and carbon isotopes will not be useful tracers to document any leakage along these faults into the marbles above the Alta–Grizzly thrust fault because most of these faults lie beyond the carbon and oxygen isotope exchange fronts in the south aureole (Bowman et al., 1994). Other petrologic and geochemical tracers will need to be evaluated and applied to document any such leakage. Comparison with other estimates of timeintegrated fluid flux The average qmTIFF value of 4·2 × 107 mol/m2 experienced by the periclase zone that is estimated from reaction progress compares well with those determined previously from oxygen isotope and geothermometry evidence preserved in the Alta aureole. Bowman et al. (1994) simulated the position of the oxygen isotope front preserved in the dolomitic marbles beneath the Alta– Grizzly thrust with a one-dimensional 18O/16O transport model. The qmTIFF required to reproduce the location of the oxygen isotope front with this one-dimensional model is >1·2 × 107 mol/m2. This one-dimensional model underestimates the actual qmTIFF experienced by the inner Alta aureole because it does not account for the decrease in qmTIFF produced by the radial flow geometry thought to characterize this part of the Alta aureole. Nevertheless, this estimate is on the order of the value of qmTIFF estimated from petrologic reaction progress in this study. Cook et al. (1997) applied a two-dimensional (axisymmetic) model of heat and mass transport to both the oxygen isotope exchange front and to the temperature profile recorded by calcite–dolomite geothermometry in the south Alta aureole. Duplication of both profiles can be accomplished simultaneously with a model permeability of 2·5 × 10−16 m2 and a qmTIFF of about 3·4 × 107 mol/m2. This model accommodates the effects of diverging flow lines resulting from the radial flow geometry that actually occurs in the Alta aureole. This estimate of qmTIFF is in excellent agreement with that calculated here by petrologic methods. Using one-dimensional models of fluid flow and mineral reaction that predict the spatial distribution of mineral assemblages developed in siliceous dolomites, Ferry (1994) concluded that the sequence and spacing of the isograds in the Alta aureole were compatible with down-temperature flow and qmTIFF values of >1 × 107 mol/m2. This estimate is equivalent to that estimated with one-dimensional models of oxygen isotope transport (Bowman et al., 1994), but is somewhat lower than estimated with petrologic 755 JOURNAL OF PETROLOGY VOLUME 41 reaction progress in this study and by Cook et al. (1997). The Ferry (1994) model also predicts that primary brucite would be expected at somewhat larger values of qmTIFF, but primary brucite has not been observed in the Alta aureole. However, given the approximations and assumptions incorporated into all of these models (e.g. steady-state thermal profile in the reaction progress and isotope models; equilibrium reaction and exchange; simplified flow geometry), the agreement in estimated qmTIFF is probably reasonable. SUMMARY The prograde path followed by the massive dolomites in the Alta aureole is one of decreasing X(CO2) with rising temperature, and requires significant infiltration of a H2O-rich fluid with increasing metamorphic grade. This path, together with the widespread occurrence of highvariance assemblages such as Fo + Cc + Do, Tr + Cc + Do, and Tc + Cc + Do suggest that the infiltration-driven metamorphism involved down-T flow of H2O-rich fluids away from the igneous contact. The isograds apparently migrated outward from the intrusive contact as a set of reaction zones driven by the infiltrating fluids as the fluid flowed down the thermal gradient. The widespread occurrence of high-variance assemblages indicates that reactions were driven to completion at reaction fronts, resulting in the general lack of buffering within all three metamorphic zones. Boron and iron metasomatism, the peak temperature profile based on calcite–dolomite geothermometry, and whole-rock 18O data also indicate that the infiltrating fluids entered the marbles from the adjacent Alta stock, requiring fluid flow down the metamorphic thermal gradient. This flow geometry implies that the infiltrating fluids were initially out of equilibrium with the adjacent siliceous dolomites, and consequently the prograde metamorphic sequence in Alta’s siliceous dolomites preserves a natural example of metamorphism driven by disequilibrium fluid infiltration down a metamorphic thermal gradient. Estimates of time-integrated fluid flux can be obtained from published models of fluid flow and mineral–fluid reaction, given knowledge about the geometry of fluid flow, the positions of the reaction fronts preserved as mineral isograds, and measured reaction progress. Using this approach, the average time-integrated fluid flux required to produce the observed widths of the periclase, forsterite, and tremolite zones is 4·2 × 107, 6·6 × 105, and 2·0 × 105 mol/m2, respectively. The value for the periclase zone is in good agreement with the value of 3·4 × 107 mol/m2 calculated by simulation of the observed isotope exchange front and the temperature profile recorded by calcite–dolomite geothermometry in the south Alta aureole (Cook et al., 1997). This value is also in NUMBER 6 JUNE 2000 adequate agreement with fluid fluxes predicted by petrologically based fluid flow and reaction models. The estimates of qmTIFF for the forsterite and tremolite zones have much greater uncertainty, but may indicate that fluid flux was considerably lower in these zones compared with the periclase zone. Given the outward (down-temperature), subhorizontal flow geometry indicated by a variety of petrologic, geochemical, and geothermometry evidence presented here and elsewhere, this decrease implies that fluid has leaked from the flow system between the periclase and tremolite zones. 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