Two-phase flow in porous media: dynamical phase transition
Department of Physics, University of Oslo, PB 1048 Blindern, 0316 Oslo, Norway
2 Department of Physics, Norwegian University of Science and Technology, NTNU, 7491 Trondheim, Norway
Revised: 2 November 2005
Published online: 31 January 2006
We study numerically the behavior of two-phase flow in porous media via the parameters capillary number and viscosity ratio, under steady-state conditions and various levels of saturation. We construct a phase diagram, where the phases are defined according to whether one or both fluids move. We establish a semi-empirical theory for the location of the phase boundaries. The steady-state conditions are obtained by implementing biperiodic boundary conditions.
PACS: 47.55.Mh – Fluid flow through porous media
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006