Steady-State Upscaling

Steady-state upscaling is based on steady-state solutions to the two-phase flow equations. We study features of steady-state solutions, and the applicability of upscaled flow functions based thereon in transient situations. Also, efficient computation of steady-state solutions is addressed: The existence of a class of problems is proved, where two-phase streamlines (in the viscous limit) are identical to streamlines in the corresponding one-phase problem.