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Relationship between fluid-bearing and fluid-absent invariant points and a petrogenetic grid for a greenschist facies assemblage in the system CaO-MgO-Al2O3-SiO2-CO2-H2O
Authors:B J Watts
Institution:(1) N.S.W. Geological Survey, Sydney
Abstract:In the 6 component system CaO-MgO-Al2O3-SiO2-CO2-H2 with 9 solid phases (quartz, plagioclase, epidote, tremolite, talc, chlorite, magnesite, calcite, dolomite) and a fluid phase, all 17 possible fluid-absent reactions have been set up and balanced. Using molar entropy and volume data for the solid phases, these reactions are arranged in P-T space about the 8 possible fluid-absent invariant points after the method of Schreinemakers. Field observations in Ordovician greenschist facies basic volcanics at Sofala N.S.W., indicate that neither talc+epidote nor magnesite+calcite are stable under the conditions of metamorphism. Assuming these conditions to apply to the theoretical study here, the fluid-absent invariant points are arranged in a relative fashion with fluid-absent reactions subdividing P-T space into smaller areas.A scheme which permits a fluid of composition 
$$0 \leqq X_{{\text{H}}_{\text{2}} {\text{O}}}  + X_{{\text{CO}}_{\text{2}} }  \leqq {\text{1}}$$
(i.e. a fluid containing CO2 and H2O together with other components), is modeled by treating H2O as a mobile component independent of CO2, and by allowing 
$$U_{{\text{H}}_{\text{2}} {\text{O}}}  - U_{{\text{CO}}_{\text{2}} }$$
values that lie off the 
$$U_{{\text{H}}_{\text{2}} {\text{O}}}  - U_{{\text{CO}}_{\text{2}} }$$
locus of binary H2O-CO2. Taking into account that neither talc+epidote nor magnesite +calcite is to be permitted, the fluid scheme is used to set up and balance all 39 possible fluid-bearing reactions. These are then arranged about 20 valid fluid-bearing invariant points in 
$$U_{{\text{H}}_{\text{2}} {\text{O}}}  - U_{{\text{CO}}_{\text{2}} }$$
space after the method of Korzhinskii and Sehreinemakers.A characteristic solid phase assemblage is defined for each P-T area using chemographic relations inherent from the fluid-absent boundary reactions. The fluid-bearing invariant points that have a solid assemblage compatible with the characteristic assemblage in a particular P-T area are stable within the P-T regime of that area. When these stable fluidbearing invariant points are arranged in a relative fashion in 
$$U_{{\text{H}}_{\text{2}} {\text{O}}}  - U_{{\text{CO}}_{\text{2}} }$$
space, they outline a fluid grid which can be used to study the possible effects of local variation in X fluid over the particular P-T regime.Symbols Used U chemical potential - S entropy - V molar volume - n coefficient of a phase in a reaction - X mole fraction - T temperature - P pressure - F number of degrees of freedom - C number of components - p number of phases - s solid - theta slope of reaction - 1 quartz - 2 plagioclase - 3 epidote - 4 tremolite - 5 talc - 6 chlorite - 7 dolomite - 8 magnesite - 9 calcite
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