Welcome to the next PoreLab lecture!
Who: Laurent Talon is a researcher at the Laboratory FAST (Fluides, Automatique et Systèmes Thermiques) at the University of Paris-Saclay, France
When: Wednesday 4 December at 13:00 CET (Norway time).
Where: The lecture will be streamed both in the Kelvin room (PoreLab Oslo) and in the common room (PoreLab Trondheim). From anywhere else, you will be able to join via the following Zoom link:
https://uio.zoom.us/j/65837085049?pwd=WjZianUyN3FJa2liQkxBbzQrOCtGdz09
Title: On the flow of yield stress fluid in porous media : statistical properties, universality class and boundary conditions
Abstract:
The flow of yield stress fluids in porous media presents an interesting level of complexity due to the interplay between the heterogeneity of the medium and the non-linear rheology. For example, a non-linear Darcy law is observed due to the increase in the number of flowing paths with the applied pressure difference. In this talk we will discuss some statistical aspects of this problem. In particular, how the directed polymer problem – which minimises the energy of a path in a random field – introduced by Kardar Parisi and Zhang (KPZ) in 1987 controls to the small flow rate limits and how it affects the nonlinear Darcy’s law. One interesting aspect is the influence of the boundary condition one the flow field. Indeed, in contrast to the Newtonian case, the type of boundary condition applied to the system significantly affects the flow over a large distance. We will therefore discuss how this extension is controlled by the KPZ universality class.