THERMOBAROMETRY USING MULTI-EQUILIBRIUM CALCULATIONS: A NEW TECHNIQUE, WITH PETROLOGICAL APPLICATIONS

THERMOBAROMETRY USING MULTI-EQUILIBRIUM CALCULATIONS: A NEW TECHNIQUE, WITH PETROLOGICAL APPLICATIONS

1991 | ROBERT G. BERMAN
This paper presents a new thermobarometric technique based on internally consistent thermodynamic data to assess the equilibration state of mineral assemblages. The method calculates all possible equilibria implied by a given mineral assemblage and uses graphical and weighted averaging methods to determine best estimates of pressure and temperature. The technique is applicable to systems where thermodynamic properties are well described, allowing for the reconstruction of P-T paths from rocks with disequilibrium textures that pass local equilibrium tests. However, its general applicability is limited by the accuracy of thermodynamic data, particularly for solid solutions. The method facilitates data refinement by highlighting incompatible minerals, illustrating the sensitivity of results to solution models, and enabling the selection of well-equilibrated samples for refining thermodynamic properties. The technique addresses three main issues in traditional thermobarometry: internal consistency, verification, and ambiguity. It avoids the inconsistency of classical methods by computing an average pressure from an independent set of equilibria, ensuring thermobarometric consistency. The method also allows for the identification of potential errors in thermodynamic data, compositional data, or disequilibrium by comparing results with geological observations. The technique is particularly useful for identifying and resolving discrepancies in thermobarometric results, especially when multiple calibrations are available. The paper discusses the thermodynamic relations underlying thermobarometry, including the calculation of pressure and temperature using equilibrium constants and Gibbs free energy. It also reviews the challenges of thermobarometry, such as the need for accurate thermodynamic data and the difficulty of verifying results. The proposed method, TWEEQU, uses a set of internally consistent thermodynamic data to compute average pressures and temperatures from all equilibria, with results weighted based on the sensitivity of each equilibrium to input data. The paper presents examples of TWEEQU results for calc-silicate rocks and granulites, showing how the method can identify problematic minerals and resolve discrepancies in thermobarometric results. It also discusses the importance of thermodynamic data in determining the equilibration state of samples and the need for further refinement of thermodynamic data to improve the accuracy of thermobarometric results. The method is particularly useful for identifying systematic errors in calibration and for verifying the state of equilibration of samples used to refine thermodynamic properties. The paper concludes that the TWEEQU technique provides a robust method for assessing the equilibration state of mineral assemblages and for improving the accuracy of thermobarometric results.This paper presents a new thermobarometric technique based on internally consistent thermodynamic data to assess the equilibration state of mineral assemblages. The method calculates all possible equilibria implied by a given mineral assemblage and uses graphical and weighted averaging methods to determine best estimates of pressure and temperature. The technique is applicable to systems where thermodynamic properties are well described, allowing for the reconstruction of P-T paths from rocks with disequilibrium textures that pass local equilibrium tests. However, its general applicability is limited by the accuracy of thermodynamic data, particularly for solid solutions. The method facilitates data refinement by highlighting incompatible minerals, illustrating the sensitivity of results to solution models, and enabling the selection of well-equilibrated samples for refining thermodynamic properties. The technique addresses three main issues in traditional thermobarometry: internal consistency, verification, and ambiguity. It avoids the inconsistency of classical methods by computing an average pressure from an independent set of equilibria, ensuring thermobarometric consistency. The method also allows for the identification of potential errors in thermodynamic data, compositional data, or disequilibrium by comparing results with geological observations. The technique is particularly useful for identifying and resolving discrepancies in thermobarometric results, especially when multiple calibrations are available. The paper discusses the thermodynamic relations underlying thermobarometry, including the calculation of pressure and temperature using equilibrium constants and Gibbs free energy. It also reviews the challenges of thermobarometry, such as the need for accurate thermodynamic data and the difficulty of verifying results. The proposed method, TWEEQU, uses a set of internally consistent thermodynamic data to compute average pressures and temperatures from all equilibria, with results weighted based on the sensitivity of each equilibrium to input data. The paper presents examples of TWEEQU results for calc-silicate rocks and granulites, showing how the method can identify problematic minerals and resolve discrepancies in thermobarometric results. It also discusses the importance of thermodynamic data in determining the equilibration state of samples and the need for further refinement of thermodynamic data to improve the accuracy of thermobarometric results. The method is particularly useful for identifying systematic errors in calibration and for verifying the state of equilibration of samples used to refine thermodynamic properties. The paper concludes that the TWEEQU technique provides a robust method for assessing the equilibration state of mineral assemblages and for improving the accuracy of thermobarometric results.
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