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Present work attempts to identify the roles of flow- and geometric-variableson the scaling factor which is a necessary parameter for modeling the apparentviscosity of non-Newtonian fluid in porous media. While idealizing the porousmedia microstructure as arrays of circular and square cylinders, present studyuses multi-relaxation time lattice Boltzmann method to conduct pore-scalesimulation of shear thinning non-Newtonian fluid flow. Variation in the sizeand inclusion ratio of the solid cylinders generates wide range of porous mediawith varying porosity and permeability. Present study also used stochasticreconstruction technique to generate realistic, random porous microstructures.For each case, pore-scale fluid flow simulation enables the calculation ofequivalent viscosity based on the computed shear rate within the pores. It isobserved that the scaling factor has strong dependence on porosity,permeability, tortuosity and the percolation threshold, while approaching themaximum value at the percolation threshold porosity. Present investigationquantifies and proposes meaningful correlations between the scaling factor andthe macroscopic properties of the porous media.

Pore-scale Simulation of Shear-Thinning Fluid Flow using Lattice Boltzmann Method