Fluid Shock Wave Generation at Solid-Material Discontinuity Surfaces in Porous Media

Francesco Dell'Isola (1, 2, 3) , Pierre Seppecher (3, 4) , Angela Madeo (3, 5)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 M&MoCS - International Research Centre on Mathematics & Mechanics of Complex Systems
4 IMATH - Institut de Mathématiques de Toulon - EA 2134
5 LGCIE - Laboratoire de Génie Civil et d'Ingénierie Environnementale

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

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, Pierre Seppecher, Angela Madeo. Fluid Shock Wave Generation at Solid-Material Discontinuity Surfaces in Porous Media. Variational Models and Methods in Solid and Fluid Mechanics, Volume 535 of the series CISM Courses and Lectures , pp. 315-358, 2012. ⟨hal-00601626⟩