On the developments of Darcy's law to include inertial and slip effects

D Lasseux, FJ Valdés-Parada - Comptes …, 2017 - comptes-rendus.academie-sciences …
Flows in porous media are of interest in numerous applications ranging from hydrology,
hydrocarbon recovery, gas and nuclear waste storage, to drying of wood, transfer in food …

Theory and applications of macroscale models in porous media

I Battiato, PT Ferrero V, D O'Malley, CT Miller… - Transport in Porous …, 2019 - Springer
Abstract Systems dominated by heterogeneity over a multiplicity of scales, like porous
media, still challenge our modeling efforts. The presence of disparate length-and time …

Multiscale modeling for multiphase flow and reactive mass transport in subsurface energy storage: A review

X Lyu, W Wang, D Voskov, P Liu… - Advances in Geo …, 2025 - ager.yandypress.com
Modeling of multiphase flow and reactive mass transport in porous media remains a pivotal
challenge in the realm of subsurface energy storage, demanding a nuanced understanding …

On the apparent permeability of porous media in rarefied gas flows

L Wu, MT Ho, L Germanou, XJ Gu, C Liu… - Journal of Fluid …, 2017 - cambridge.org
The apparent gas permeability of a porous medium is an important parameter in the
prediction of unconventional gas production, which was first investigated systematically by …

Macroscopic model for generalised Newtonian inertial two-phase flow in porous media

J Sánchez-Vargas, FJ Valdés-Parada… - Journal of Fluid …, 2023 - cambridge.org
A closed macroscopic model for quasi-steady, inertial, incompressible, two-phase
generalised Newtonian flow in rigid and homogeneous porous media is formally derived …

Continuous high frequency measurement improves understanding of high frequency torsional oscillation in North America land drilling

Z Zhang, Y Shen, W Chen, J Shi, W Bonstaff… - SPE Annual Technical …, 2017 - onepetro.org
Bit and bottom hole assembly (BHA) rotational speed oscillation is often encountered in
North America land drilling applications. One common type of rotational speed oscillation is …

Flow near porous media boundaries including inertia and slip: A one-domain approach

FJ Valdés-Parada, D Lasseux - Physics of Fluids, 2021 - pubs.aip.org
This work addresses the macroscopic modeling of flow near porous media boundaries. This
includes the vicinity with a fluid channel (ie, a fracture), another rigid porous medium, or an …

A novel one-domain approach for modeling flow in a fluid-porous system including inertia and slip effects

FJ Valdés-Parada, D Lasseux - Physics of Fluids, 2021 - pubs.aip.org
A new one-domain approach is developed in this work yielding an operational average
description of one-phase flow in the classical Beavers and Joseph configuration including a …

Hierarchical modeling of hydromechanical coupling in fractured shale gas reservoirs with multiple porosity scales

X Yan, H Sun, Z Huang, L Liu, P Wang, Q Zhang… - Energy & …, 2021 - ACS Publications
The simulation of gas flow in shale formation has been a major challenge in the oil and gas
industry due to related multiscale pore structure and nonlinear coupled processes such as …

Cross flow hydrodynamics in regular and random fiber bundles in the Darcyan and non-Darcyan regimes

N Cancilla, G Nicolò, M Ciofalo, A Cipollina… - Chemical Engineering …, 2025 - Elsevier
Computational results are presented for cross flow past straight parallel fiber bundles.
Different configurations are compared: regular square lattices of circular or elliptic fibers, and …