Upscaling Hydrodynamic Dispersion in Non‐Newtonian Fluid Flow Through Porous Media

Abstract

Heat and solute transport in flow through porous media is encountered in many problems of fundamental scientific significance, as well as in various applications (Chen et al., 2021;Dentz et al., 2011;Sahimi, 1993;Simmons et al., 2001). Examples include contaminant transport in groundwater flow, enhanced oil recovery, packed-bed chemical reactors, and saltwater intrusion into groundwater aquifers. Up until now, however, studies of solute transport have been limited to those problems in which the solvent or the flowing fluid was Newtonian, with very scant attention paid to the case of transport through a non-Newtonian fluid. The solute and heat transfer in flow of non-Newtonian fluids through porous media is, however, encountered in numerous subsurface engineering and geosystems, such as polymer flooding to transport oxidants for groundwater remediation (

Rheology of a Viscous-Plastic Liquid in a Porous Medium

“…The solution of Equation ( 17) with boundary conditions (18) with small convective transfer can be carried out by the method of separation of variables, setting 1 m = and introducing the following transformation [14] [15] ( ) ( ) ( )…”

“…Open Journal of Fluid Dynamics the problems of the flow of viscous-plastic liquids in capillary pores is proposed, as a result of which the structure of the flow and the distribution of the flow velocity in various regions are determined (14). These equations consider the formation of a dense layer of particles on the inner of the pores and their influence on the distribution of the flow velocity over the cross section (15). A solution to the equation of hydraulic diffusion of viscous-plastic fluids for a cylindrical porous medium is proposed, taking into account the rheological properties (25) that are important for estimating the coefficients of hydraulic diffusion (39) and the permeability of the porous medium.…”

Assessing Rheology Effects and Pore Space Complexity in Polymer Flow Through Porous Media: A Pore‐Scale Simulation Study

“…Numerous studies have investigated non‐Newtonian fluids through porous media, including experimental studies (Chase & Dachavijit, 2003; Chauveteau, 1982; Comba et al., 2011; Comiti et al., 2000; Ferreira & Moreno, 2019; Koh et al., 2017; Perrin et al., 2006; Rodríguez de Castro & Radilla, 2017a), theoretical modeling (Hayes et al., 1996; Kozicki & Tiu, 1988; Liu & Masliyah, 1999; Shende et al., 2021), and pore network simulation (An, Sahimi, & Niasar, 2022; An, Sahimi, Shende, et al., 2022; Balhoff & Thompson, 2006; Sahimi, 1993). These approaches have notable limitations and challenges, for example, the difficulty associated with running lab experiments in real porous rocks under diverse boundary conditions and complications in solving the differential equations analytically.…”

Displacement Patterns of a Newtonian Fluid by a Shear‐Thinning Fluid in a Rough Fracture

“…Due to the complexity and diversity of the void space geometry of porous media, injection of non‐Newtonian fluids can result in a wide range of local viscosities and strong viscosity heterogeneity, with a general monophasic flow behavior of stronger flow localization as compared to Newtonian flow in the same medium (Airiau & Bottaro, 2020; Hauswirth et al., 2019; Shah & Yortsos, 1995; Zami‐Pierre et al., 2016). For two‐phase flow configurations, more marked preferential flow paths (the connected regions of high velocity) and more complex fingering patterns are observed when non‐Newtonian fluids flow in porous media (An et al., 2022; Géraud et al., 2016).…”