A perspective on Darcy's law across the scales: from physical foundations to particulate mechanics
File(s)JEM___Darcy_s_law___perspectives.pdf (3.84 MB)
Accepted version
Author(s)
O'Sullivan, Catherine
Arson, Chloe
Coasne, Benoit
Type
Journal Article
Abstract
This paper puts forward a perspective or opinion that we can demonstrate Darcy’s law is valid at any scale where fluid can be modelled/analyzed as a continuum. Darcy’s law describes the flow of a fluid through a porous medium by a linear relationship between the flow rate and the pore pressure
gradient through the permeability tensor. We show that such a linear relationship can be established at any scale, so long as the permeability tensor is expressed as a function of adequate parameters that describe the pore space geometry, fluid properties and physical phenomena. Analytical models at pore scale provide essential information on the key variables that permeability depends on under different flow regimes. Upscaling techniques based on the Lippman-Schwinger equation, pore network models orEshelby’s homogenization theory make it possible to predict fluid flow beyond the pore scale. One of the key challenges to validate these techniques is to characterize microstructure and measure transport properties at multiple scales. Recent developments in imaging, multi-scale modeling and advanced computing offer new possibilities to address some of these challenges.
gradient through the permeability tensor. We show that such a linear relationship can be established at any scale, so long as the permeability tensor is expressed as a function of adequate parameters that describe the pore space geometry, fluid properties and physical phenomena. Analytical models at pore scale provide essential information on the key variables that permeability depends on under different flow regimes. Upscaling techniques based on the Lippman-Schwinger equation, pore network models orEshelby’s homogenization theory make it possible to predict fluid flow beyond the pore scale. One of the key challenges to validate these techniques is to characterize microstructure and measure transport properties at multiple scales. Recent developments in imaging, multi-scale modeling and advanced computing offer new possibilities to address some of these challenges.
Date Issued
2022-11-01
Date Acceptance
2022-06-26
Citation
Journal of Engineering Mechanics, 2022, 148 (11)
ISSN
0733-9399
Publisher
American Society of Civil Engineers
Journal / Book Title
Journal of Engineering Mechanics
Volume
148
Issue
11
Copyright Statement
© 2022 American Society of Civil Engineers. Available in ASCE's Civil Engineering Database: https://ascelibrary.org/doi/10.1061/%28ASCE%29EM.1943-7889.0002153
Subjects
Science & Technology
Technology
Engineering, Mechanical
Engineering
POROUS-MEDIA
NUMERICAL-METHOD
WATER-RETENTION
FLUID-FLOW
PERMEABILITY
PREDICTION
HOMOGENIZATION
COMPOSITES
TRANSPORT
NETWORK
Civil Engineering
0905 Civil Engineering
0913 Mechanical Engineering
Publication Status
Published
Date Publish Online
2022-08-30