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Non-Newtonian fluids through porous media: micro- and macro-scale properties of power-law fluids

Zami-Pierre, Frédéric and Davit, Yohan and Loubens, Romain de and Quintard, Michel Non-Newtonian fluids through porous media: micro- and macro-scale properties of power-law fluids. (2015) In: Complex Fluid Flow in Porous Media, 12 October 2015 - 14 October 2015 (Bordeaux, France). (Unpublished)

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The behaviour of non-Newtonian fluids through porous media embraces a wide variety of applications such as composites and paper manufacturing, blood flow or enhanced oil recovery (EOR). A common EOR method consists in injecting a polymer solution in the oil reservoir, thus reducing the hydrodynamics instabilities and increasing the sweep efficiency. Such polymer solutions have a non-Newtonian behaviour, which is often described by a power-law model. In this study we combine inputs from X-ray micro tomography and numerical simulations. \\ Tomographic characterizations also offer new ways of understanding the topological complexity of the resulting flow fields. The pore space geometrical features are analysed using statistical tools. Common aspects and differences between porous media are emphasized in terms of homogeneity, disorder, tortuosity. The micro tomography gives the geometry for direct numerical simulations of the non-linear Stokes equations, obtained using a finite volume method. We run simulations on a wide range of Reynolds number and a wide panel of medium (academic and industrial) to get a universal picture of the phenomenon that occur. As expected, we observe a Newtonian and non-Newtonian regime, leading to two different macroscopic Darcy's laws. We find out that the transition between those two regimes can be characterised by an dimensionless number that compares the flow regime and the transition's flow regime. Our results suggest to model this transition using only geometrical informations from micro tomography and rheological parameters from the bulk solution.

Item Type:Conference or Workshop Item (Other)
Additional Information:Thanks to Complex Fluid Flow in Porous Media, 12-14 october 2015, Bordeaux (France), https://comflowpore15.sciencesconf.org/
Audience (conference):International conference without published proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Total (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
Deposited On:12 Sep 2016 07:39

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