Mathematical Modelling of Metamorphic Differentiation

这个项目涉及开发一个定量模型来描述岩石系统中变质分异过程中涉及的过程。该模型将利用非平衡热力学理论和变质流体中化学动力学、输运规律和化学形态的现有数据，并将允许从最初均匀的细晶材料定量预测变质结构的时空演化。该项目的具体目标是开发一个基于反应输运方程和粘性流动定律的二维模拟程序，将压力-溶液和界面能量效应作为差异化的驱动力。这一研究结果将为更好地理解变质作用过程中的地球化学自组织过程提供依据。

This project involves the development of a quantitative model to describe the processes involved during metamorphic differentiation in rock systems. The model will draw upon nonequilibrium thermodynamic theory and existing data on chemical kinetics, transport laws, and chemical speciation in metamorphic fluids, and will allow quantitative prediction of the space-time evolution of metamorphic textures from initially homogeneous, fine-grained materials. The specific objective of the project is to develop a two-dimensional simulator program based on reaction transport equations coupled with viscous flow laws, incorporating pressure-solution and interfacial energy effects as the driving forces for differentiation. The results of this research will provide a better understanding of the geochemical self-organization processes involved during metamorphism.