Rheology of high-capillary number two-phase flow in porous media
Sinha, Santanu; Gjennestad, Magnus Aashammer; Vassvik, Morten; Winkler, Mathias; Hansen, Alex; Flekkøy, Eirik Grude
Journal article, Peer reviewed
Published version

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http://hdl.handle.net/11250/2619897Utgivelsesdato
2019Metadata
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Sammendrag
Flow of immiscible fluids in porous media at high capillary numbers may be characterized by an effective viscosity. We demonstrate that the effective viscosity is well-described by the Lichtenecker-Rother equation. Depending on the pore geometry, wettability, and viscosity of the fluids, the exponent α in this equation can have different values. We find α = 1 when fluids are well-mixed with small bubbles, α = 0.6 in two- and 0.5 in three-dimensional systems when there is less mixing with the appearance of big bubbles, and α = −0.5 when lubrication layers are formed along the pore walls. Our arguments are based on analytical and numerical methods.