Local statistics of immiscible and incompressible two-phase flow in porous media

We consider immiscible and incompressible two-phase flow in porous media under steady-state conditions using a dynamic pore network model. focus on the fluctuations Representative Elementary Area (REA), with aim to demonstrate that statistical distributions of volumetric rate saturation within REA become independent size entire model when is large enough. This independence necessary condition for developing local theory flow, which turn opens possibility formulate description at scales enough typical be negligible differential equations.