Applied Math Seminar | Bryan Quaife, Transport in Viscous Eroded Media

M3 3127

Speaker

Bryan Quaife, Department of Scientific Computing, Florida State University

Title

Transport in Viscous Eroded Media

Abstract

Flow in porous media plays a crucial role in various geophysical, medical, and industrial applications. When the media undergoes mechanical erosion, preferred flow directions and anisotropic permeability develop. I will describe a high-order numerical method for solving the fluid equations and evolving the individual eroding grains. Using these eroded geometries, I will establish connections between the geometry's porosity and its associated tortuosity, dispersion, and anisotropy. In particular, I will show that eroded geometries permit flow in the longitudinal direction more easily than in the transverse direction by up to a factor of six. Finally, if time permits, I will present a new numerical method to simulate diffusion in complex eroded geometries. This method leverages the Laplace transform to determine long-time diffusion behaviors without applying conventional time stepping.