Effective rheology of immiscible two-phase flow in porous media
Department of Physics, Norwegian University of Science and Technology - N-7491 Trondheim, Norway
Received: 11 June 2012
Accepted: 26 July 2012
We demonstrate through numerical simulations and a mean-field calculation that immiscible two-phase flow in a porous medium behaves effectively as a Bingham viscoplastic fluid. This leads to a generalized Darcy equation where the volumetric flow rate depends quadratically on an excess pressure difference in the range of flow rates where the capillary forces compete with the viscous forces. At higher rates, the flow is Newtonian.
PACS: 47.56.+r – Flows through porous media / 47.55.Ca – Gas/liquid flows / 47.55.dd – Bubble dynamics
© EPLA, 2012