Boundary Conditions at Fluid-Permeable Interfaces in Porous Media: a Variational Approach

Francesco Dell'Isola (1, 2) , Angela Madeo (3) , Pierre Seppecher (4)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 MeMoMat - Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate
4 IMATH - Institut de Mathématiques de Toulon - EA 2134

A general set of boundary conditions at fluid-permeable interfaces between dissimilar fluid-filled porous matrices is established starting from an extended Hamilton-Rayleigh principle. These conditions do include friction and inertial effects. Once linearized, they encompass boundary conditions relative to volume Darcy-Brinkman and to surface Saffman-Beavers-Joseph dissipation effects.

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, Angela Madeo, Pierre Seppecher. Boundary Conditions at Fluid-Permeable Interfaces in Porous Media: a Variational Approach. International Journal of Solids and Structures, 2009, pp.28. ⟨hal-00504035⟩