Thermodynamically constrained averaging theory provides a consistent method for upscaling conservation and thermodynamic equations for application in the study of porous medium systems. The method provides dynamic equations for phases, interfaces, and common curves that are closely based on insights from the entropy inequality.All larger scale variables in the equations are explicitly defined in terms of their microscale precursors, facilitating the determination of important parameters and macroscale state equations based on microscale experimental and computational analysis.The method...

This unitary resource sets out the derivation of conservation, thermodynamic, and evolution equations used in modeling multiphase porous media systems. It includes detailed, multiscale applications and a forward-looking discussion of open research issues.