2022/03/04 by Olav Galteland, Galteland, Olav, Michael T. Rauter +9
Engineering · Environmental Science · Physics and Astronomy · #CO2 Sequestration and Geologic Interactions #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Heat and Mass Transfer in Porous Media #Quantum, superfluid, helium dynamics #Soft Condensed Matter (cond-mat.soft)
paper · pdf · doi:10.48550/arxiv.2203.02334
openalex publication_date 2022/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Darcy's law for porous media transport is given a new local thermodynamic basis in terms of the grand potential of confined fluids. The local effective pressure gradient is determined using non-equilibrium molecular dynamics, and the hydraulic conductivity and permeability are investigated. The transport coefficients are determined for single-phase flow in face-centered cubic lattices of solid spheres. The porosity changed from that in the closest packing of spheres to near unity in a pure fluid, while the fluid mass density varied from that of a dilute gas to a dense liquid. The permeability varied between \SI5.7e-20\meter2 and \SI5.5e-17\meter2, showing a porosity-dependent Klinkenberg effect. Both transport coefficients depended on the average fluid mass density and porosity but in different ways. These results set the stage for a non-equilibrium thermodynamic investigation of coupled transport of multi-phase fluids in complex media.