Matrix Analysis of Metamorphic Mineral Assemblages and Reactions

通常需要确定变质矿物组合是否包含反应关系；如果是这样，组合就不能代表平衡状态。同样，常常需要确定两个明显处于平衡状态的组合是否确定相互的反应关系；如果是这样，它们就不可能在同样的条件下达到平衡。这项工作将是对分析变质岩组合和反应的特殊数学技术的研究，将编制一套供岩石学界使用的计算机程序，并将测试在泥质片岩中开发的矿物组合技术。它将为地质学家提供一种新的、更好的方法来确定变质岩形成的条件，从而确定在某一特定时期地壳中发生了什么。

It is often necessary to determine whether or not a metamorphic mineral assemblage contains a reaction relationship; is so, the assemblage cannot represent an equilibrium state. Similarly, it is often necessary to determine whether two assemblages, each apparently in equilibrium, define a mutual reaction relationship; if so, they cannot have equilibrated under the same conditions. This work will be a study of special mathematical techniques to analyse metamorphic assemblages and reactions, will prepare a set of computer programs for the use of the petrological community, and will test the techniques developed on mineral assemblages in pelitic schists. It should provide a new and better means for geologists to determine the conditions under which metamorphic rocks formed, and hence what was going on at a given time in the crust of the earth.