Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Intra-REV Pore Heterogeneity Model for Flow of Viscoplastic Material in Porous Media
Submission Author:
Allan Barbosa Geoffroy Motta , RJ , Brazil
Co-Authors:
Allan Barbosa Geoffroy Motta, Roney Thompson
Presenter: Allan Barbosa Geoffroy Motta
doi://10.26678/ABCM.COBEM2023.COB2023-2198
Abstract
Motivated by some discrepancies in the comparison between the pressure drop in plug scale experiments and continuum model simulations, we propose a model for the flow of viscoplastic material in porous media with a non-uniform pore distribution in the pore scale. The model employed is a continuum model that involves two scales. It is solved in the Darcy scale which requires information from the pore scale by a representative elementary volume (REV). The interaction between solid and fluid on the smallest scale is a key aspect and must be modeled via the interaction term. Usually, a pore geometry idealization is considered. The simplest geometry is the cylindrical pore, where an analytical solution for the interaction term can be obtained through some simplifications and the permeability is expected to be higher when compared to other geometries, so the pressure drop provided by this case would be the lowest possible. Despite that, in some cases, it is observed that the pressure drop predicted by the model is higher than the one observed in experiments. We aim to investigate this case considering a representative elementary volume composed of a non-uniform distribution of cylindrical pores and the flow of a viscoplastic material. We apply the Mixture Theory of Continuum Mechanics, which is able to provide a complete momentum balance for problems of flow in porous media, in contrast to Darcy's Law which is indicated only for low permeability regions. An analytical interaction term is developed for the Bingham viscoplastic material. Plug scale simulations are performed and we compare pressure drop between the representative REV idealized by a single pore and the REV idealized by a known non-uniform distribution of pores. From the results, it is clear that the pore heterogeneity is a possible source of discrepancy between the pressure drop from experiments and simulations.
Keywords
Computational fluid dynamics (CFD), Viscoplastic material, Porous media, heterogeneous pore distribution
