Michel Quintard - Flow in High Permeability Porous Media (lecture)

This presentation was presented during the 4th Cargèse Summer School on Flow and Transport in Porous and Fractured Media in 2018. Don’t hesitate to have a look on other lectures of the summer school on our channel! More information on the Summer School on https://cargese2018.sciencesconf.org/ ** Highly permeable media have the potential for triggering inertia effects in the case of saturated or unsaturated flows. They also lead to specific effects in the case of unsaturated flows due tothe increased viscous interaction at the pore-scale, the potential effects of high capillary numbers and Bond numbers. Theoretical, experimental and numerical results will be given inthis lecture concerning saturated flows with inertia effects. The now classical discussion about the various regimes observed when increasing the Reynolds number close to the Darcy regime will be reviewed. Indications will be given on the still open problem of the phenomenology at high Reynolds numbers, and theoretical aspects such as the upscaling RANS turbulence models and the development of macro-scale turbulent models. Brief indications will be given on the case of two-phase flows: new evidence about viscous interaction effects, the introduction of inertia terms in macro-scale models. Find the slide presentation on https://perso.univ-rennes1.fr/joris.h... #ComplexFluids #NonNewtonian #ReservoirRocks #NonLinearity #Darcy