Upscaling non-Newtonian rheological fluid properties from pore-scale to Darcy’s scale

Continuity and momentum equations govern the pore-scale flow properties of fluid in porous media, whereas Darcy’s law governs Darcy scale transport media. The empirical shift factor relates steady shear-dependent viscosity non-Newtonian fluids to reported values cover three orders magnitude depending on considered fluid-medium configurations. This creates a challenge upscale rheology from scale. We based shear Meter model viscoelastic linear Phan-Thien-Tanner fluid. propose Bundle-of-Capillaries modified with pore-correction coefficient fluid-correction coefficient. numerically simulate polyacrylamide fluid, modelled using model, through 3D symmetric micro-channel, 2D medium Mt Simon sandstone. Pore-scale direct numerical simulation showed instability heterogeneous sandstone at low Reynolds number flow. Direct simulations overestimate due presence stagnant zones without active