INTERNALLY CONSISTENT RECALIBRATIONS OF MINERAL EQUILIBRIA FOR GEOTHERMOBAROMETRY INVOLVING GARNET ORTHO-PYROXENE PLAGIOCLASE QUARTZ ASSEMBLAGES AND THEIR APPLICATION TO THE SOUTH INDIAN GRANULITES

Three reactions are calibrated as geothermobarometers for garnet-orthopyroxene-plagioclase-quartz assemblages, namely: 1/2 ferrosilite+1/3 pyrope reversible arrow 1/2 enstatite+1/3 almandine (A): ferrosilite+anorthite reversible arrow 2/3 almandine+1/3 grossularite+quartz (B); and enstatite+anorthite reversible arrow 2/3 pyrope+1/3 grossularite+quartz (C). The internally consistent geothermobarometers based on reactions (A), (B) and (C) are calibrated from experimental data only. The thermodynamic parameters of reaction (A) are derived from published experimental data in the FMAS system (n=104) in the range 700-1400 degrees C and 5-50 kbar, while those for reaction (B) are derived by summation of the existing reversed experimental data of the mineral equilibria: ferrosilite reversible arrow fayalite+quartz (D) and anorthite+fayalite reversible arrow 2/3 almandine+1/3 grossularite (E). The retrieved thermodynamic parameters for reactions (A), (B) and (C) are, respectively: (Delta H-0, cal) -3367+/-209, -2749+/-350 and +3985+/-545; (Delta S-0, cal K-1) -1.634+/- 0.163, -8.644+/-0.298 and -5.376+/-0.391; and (Delta V-1.298,(0) cal bar(-1)) -0.024, -0.60946 and -0.5614. On a one-cation basis, the derived Margules parameters of the ternary Ca-Fe-Mg in garnet are: W-Fe-Mg=-1256+1.0 (+/-0.23) T(K), W-Mg-Fe=2880-1.7 (+/-0.13) T(K), W-Ca-Mg=4047 (+/-77)-1.5 T(K), W-Mg-Ca=1000 (+/-77)-1.5 T(K), W-Ca-Fe=-723+0.332 (+/-0.02) T(K), W-Fe-Ca=1090, (cal) and the ternary constant C-123=-4498+1.516 (+/-0.265) T(K) cal (subregular solution model of non-ideal mixing); and Fe-Mg-Al in orthopyroxene: W-Fe-Mg=948 (+/-200)-0.34 (+/-0.10) T(K), W-Fe-Al=-1950 (+/-500) and W-Mg-Al=0 (cal) (regular solution model of non-ideal mixing). The anorthite activity in plagioclase is calculated by the 'Al-avoidance' model of subregular Ca-Na mixing commonly used for geobarometry based on reactions (B) and (C). When the geothermobarometers are applied to garnet-orthopyroxene-plagioclase-quartz assemblages (n=45) of wide compositional range from the Precambrian South Indian granulites, temperature ranges of 690-860 degrees C ((X) over bar = 760+/-45 degrees C) and pressure ranges of 5-10 kbar were obtained. The P-T values were estimated simultaneously and there is no difference in the pressure calculated from P-Mg (reaction C) and P-Fe (reaction B). In the existing calibrations this difference is +/-1kbar or more. Furthermore, there is no compositional dependence of the ln K of the experimental data in the FMAS (n=104) and the CFMAS (n=78) systems at different temperatures and the estimated temperatures of the South Indian granulites.