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首页> 外文期刊>Contributions to Mineralogy and Petrology >Thermodynamic equilibrium at heterogeneous pressure
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Thermodynamic equilibrium at heterogeneous pressure

机译：均相压力下的热力学平衡

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摘要

Recent advances in metamorphic petrology point out the importance of grain-scale pressure variations in high-temperature metamorphic rocks. Pressure derived from chemical zonation using unconventional geobarometry based on equal chemical potentials fits mechanically feasible pressure variations. Here, a thermodynamic equilibrium method is presented that predicts chemical zoning as a result of pressure variations by Gibbs energy minimization. Equilibrium thermodynamic prediction of the chemical zoning in the case of pressure heterogeneity is done by constrained Gibbs minimization using linear programming techniques. In addition to constraining the system composition, a certain proportion of the system is constrained at a specified pressure. Input pressure variations need to be discretized, and each discrete pressure defines an additional constraint for the minimization. The Gibbs minimization method provides identical results to a geobarometry approach based on chemical potentials, thus validating the inferred pressure gradient. The thermodynamic consistency of the calculation is supported by the similar result obtained from two different approaches. In addition, the method can be used for multi-component, multi-phase systems of which several applications are given. A good fit to natural observations in multi-phase, multi-component systems demonstrates the possibility to explain phase assemblages and zoning by spatial pressure variations at equilibrium as an alternative to pressure variation in time due to disequilibrium.
机译：变质岩石学的最新进展指出了高温变质岩中晶粒尺度压力变化的重要性。使用基于等化学势的非常规地质气压从化学分区得出的压力适合机械上可行的压力变化。在这里，提出了一种热力学平衡方法，该方法通过吉布斯能量最小化预测由于压力变化而导致的化学分区。在压力非均质性的情况下，化学分区的平衡热力学预测是通过使用线性编程技术通过约束Gibbs最小化来完成的。除了限制系统组成之外，系统的特定比例还受特定压力的限制。输入压力变化需要离散化，每个离散压力都为最小化定义了一个附加约束。吉布斯极小化方法提供了与基于化学势的地压法相同的结果，从而验证了推断的压力梯度。从两种不同方法获得的相似结果支持了计算的热力学一致性。另外，该方法可以用于给出了几种应用的多组分，多相系统。与多相，多分量系统中的自然观测结果非常吻合，证明了可以通过平衡时的空间压力变化来解释相组合和分区的可能性，以替代由于不平衡而造成的时间压力变化。

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