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arXiv · 1712.06826

Rheology of High-Capillary Number Flow in Porous Media

Santanu Sinha·Magnus Aa. Gjennestad·Morten Vassvik·Mathias Winkler·Alex Hansen·Eirik G. Flekkøy
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Abstract

Immiscible fluids flowing at high capillary numbers in porous media may be characterized by an effective viscosity. We demonstrate that the effective viscosity is well described by the Lichtenecker-Rother equation. The exponent $\alpha$ in this equation takes either the value 1 or 0.6 in two- and 0.5 in three-dimensional systems depending on the pore geometry. Our arguments are based on analytical and numerical methods.

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Santanu Sinha, Magnus Aa. Gjennestad, Morten Vassvik, Mathias Winkler, Alex Hansen, Eirik G. Flekkøy. 2017-12-19. Rheology of High-Capillary Number Flow in Porous Media. https://arxiv.org/abs/1712.06826

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