Quantification of non-linear multiphase flow in porous media

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Yihuai Zhang , Branko Bijeljic, Ying Gao, Qingyang Lin , Martin J. Blunt


We measure the pressure difference during two-phase flow across a sandstone sample for a range of injection rates and fractional flows of water, the wetting phase, during an imbibition experiment. We quantify the onset of a transition from a linear relationship between flow rate and pressure gradient to a non-linear power-law dependence. We show that the transition from linear (Darcy) to non-linear flow and the exponent in the power-law is a function of fractional flow. We use energy balance to accurately predict the onset of intermittency for a range of fractional flows, fluid viscosities and three rock types, reconciling several literature datasets.




Earth Sciences, Engineering, Hydrology, Life Sciences, Medicine and Health Sciences, Mineral Physics, Physical Sciences and Mathematics


fluid dynamics, multiphase flow, porous media


Published: 2020-08-21 05:15

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GNU Lesser General Public License (LGPL) 2.1

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