Journal Article

Mass transport modelling of two partially miscible, multicomponent fluids in nanoporous media

Zhang, Fengyuan, Rui, Zhenhua, Emami-Meybodi, Hamid, Ma, Ming

2024

Overview

High-pressure fluid transport in nanoporous media such as shale formations requires further understanding because conventional continuum approaches become inadequate due to their ultralow permeability and complexity of transport mechanisms. We propose a species-based approach for modelling two partially miscible, multicomponent fluids in nanoporous media – one that does not rely on conventional bulk fluid transport frameworks but on species movement. We develop a numerical model for species transport of partially miscible, non-ideal fluid mixtures using the chemical potential gradient as the driving force. The model considers the binary friction concept to include the friction between fluid molecules as well as between fluid molecules and pore walls, and incorporates the key multicomponent transport mechanisms – Knudsen, viscous and molecular diffusion. Under single-phase conditions, the system under consideration is quantified by introducing multicomponent Sherwood number (Sh), Péclet number (Pe) and fluid–solid friction modulus (φ). Despite the complexity of fluid transport in nanopores, the steady-state single-phase transport results reveal the contribution of diffusion in nanopores, where all parameters collapse on a set of master curves for the multicomponent Sh with a dependence on multicomponent Pe and φ. Unsteady state, two-phase transport modelling of the codiffusion process shows that light and intermediate alkanes are produced much higher than heavy alkanes when the vapour phase appears. We demonstrate that the pressure gradient is also crucial in promoting CO2 and alkane mixing during counterdiffusion processes. These results stress the need for a paradigm shift from classical bulk flow modelling to species-based transport modelling in nanoporous media.

• Publisher: Cambridge University Press
• Subject: Alkanes / Birds / Carbon dioxide / Chemical potential / Codification / Complexity / Counterdiffusion / Fluids / Friction / Fuel cells / Hydrocarbons / Ideal fluids / JFM Papers / Mass transport / Mathematical models / Membrane permeability / Miscibility / Modelling / Molecular diffusion / Numerical models / Peclet number / Permeability / Pore size / Potential gradient / Pressure gradients / Sedimentary rocks / Shale / Unsteady state / Vapor phases / Velocity / Viscosity