A Porous Medium Approach to Transport Phenomena in Biological Systems
Lundi 30 mars 2015 14:00
- Duree : 1 heure
Lieu : Conference room - LIPhy - Bât E - 140 Avenue de la Physique - St Martin d’Hères. Accès par interphone, appeler le secrétariat
Orateur : Yohan DAVIT (Institut de Mécanique des Fluides de Toulouse, France)
Transport phenomena in porous media generally occur over a broad spectrum of time- and length-scales, so that understanding and modeling these phenomena often requires a combination of specific theoretical, computational and experimental tools. This has led to the development of “generic methods” for porous media, including upscaling approaches such as the volume averaging technique or multiscale asymptotics. The goal of these techniques is to answer fundamental questions related to the multiscale nature of the system, such as : When and how can we adopt a macroscopic point of view and describe a system in an average sense ? Other examples of generic methods include pore-network models that provide a simplified description of the complex geometry and topology of the porous structure, or imaging techniques such as x-ray computed microtomography. The originality of our group in Toulouse, the “Groupe d’Etude des Milieux Poreux”, is to specialize in both the development of these generic methods and their application to a variety of objects including biological systems (“biological porous media”).
In this talk, I present an overview of my work on porous media. In the first part, I describe one of the generic methods, the volume averaging technique, and show how it can be applied to scalar transport by advection and diffusion in porous media. Our approach further combines volume averaging with x-ray microtomography and computational fluid dynamics to develop models for problems as different as heat transfer in composite structures and non-newtonian flow in sandstones. In the second part of this talk, I will show how these generic methods developed for “standard” porous media can be applied to biological systems. I will focus on two example problems we are currently working on : (1) x-ray microtomography of biofilms (communities of microorganisms) growing within porous media ; and (2) a model for microvascular cerebral flow that combines a pore network description of the flow in large veins/arteries with a homogenized (Darcy-like) continuum model in the capillaries. The latter uses a “well model” concept to couple the pore-network with the continuum that was initially developed in petroleum engineering.
Contact : philippe.peyla@ujf-grenoble.fr
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