AUTHOR=Roy Subhadeep , Sinha Santanu , Hansen Alex 

TITLE=Role of Pore-Size Distribution on Effective Rheology of Two-Phase Flow in Porous Media

JOURNAL=Frontiers in Water

VOLUME=Volume 3 - 2021

YEAR=2021

URL=https://www.frontiersin.org/journals/water/articles/10.3389/frwa.2021.709833

DOI=10.3389/frwa.2021.709833

ISSN=2624-9375

ABSTRACT=The flow of immiscible fluids inside a porous medium shows non-linearity in the form of a power law in the rheological properties of the fluids under steady state flow conditions. However, different
experimental and numerical studies have reported different values for the exponent related to this power law. Here we explore how the rheological properties of the two-phase flow in porous media depends on the distribution of the pore sizes and how it affects the power-law exponent. The pore-size distribution controls fluctuation in the pore radii and their density in a porous material. We present two approaches, analytical calculations using a capillary bundle model and numerical simulations using dynamic pore-network modeling. We observe crossover from a non-linear to linear rheology when increasing the
flow rate where the non-linear part is highly affected by the pore-size distribution. We have also carried out the study for different saturations of the two fluids.