Modeling of Two-Fluid-Phase Flow in Porous Medium Using the Thermodynamically Constrained Averaging Theory Approach.

Building upon the general thermodynamically constrained averaging theory (TCAT) framework, we develop a model for two-fluid-phase flow. The model is formulated by averaging a general entropy balance inequality, conservation equations, and classical irreversible thermodynamics from the microscale to the macroscale to guide model closure. A closed model is derived under limiting assumptions, which includes among other distinguishing characteristics a connection between the pore scale physics and macroscale variables allowing for integration of experimental and theoretical results; and conservation equations for interface and common curve contributions to the system which are essential for modeling processes where capillary effects and inter- phase dynamics play an important role.