A PERSPECTIVE ON DARCY'S LAW ACROSS THE SCALES: FROM PHYSICAL FOUNDATIONS TO PARTICULATE MECHANICS

Catherine O'Sullivan , Chloé Arson , Benoît Coasne (1)

1 LIPhy - Laboratoire Interdisciplinaire de Physique [Saint Martin d’Hères]

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

Domaines: Matière Condensée [cond-mat]; Matériaux

Catherine O'Sullivan, Chloé Arson, Benoît Coasne. A PERSPECTIVE ON DARCY'S LAW ACROSS THE SCALES: FROM PHYSICAL FOUNDATIONS TO PARTICULATE MECHANICS. Journal of Engineering Mechanics - ASCE, 2022, ⟨10.1061/(asce)em.1943-7889.0002153⟩. ⟨hal-03821836⟩