A technique of local volume averaging is applied to obtain general equations which depict mass and momentum transport of incompressible two-phase flow in porous media. Starting from coupled Stokes-Cahn-Hilliard equations for incompressible twophase fluid flow, the averaging is performed without oversimplifying either the porous medium or the fluid mechanical relations. The resulting equations are Darcy’s law for two-phase flow with medium parameters which could be evaluated by experiment.

中文翻译：

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通过体积平均将耦合 Stokes-Cahn-Hilliard 系统均质化为达西定律的多孔介质中两相流体流动

应用局部体积平均技术来获得描述多孔介质中不可压缩两相流的质量和动量传输的一般方程。从不可压缩两相流体流动的耦合 Stokes-Cahn-Hilliard 方程开始，进行平均时不会过度简化多孔介质或流体力学关系。得到的方程是具有介质参数的两相流的达西定律，可以通过实验进行评估。