Fluid Mixing in Porous Media Flows of Arbitrary Complexity

Explore fluid mixing in porous media flows through this comprehensive lecture by Associate Professor Daniel Lester from RMIT University, Australia. Delve into the fundamental problem of mixing, dispersion, and reaction of fluids and solutes in heterogeneous porous media, applicable to geophysical processes and poro-elastic flows. Examine recent theoretical advances in understanding solute transport across scales, combining Lagrangian methods and stochastic modeling. Learn about novel experimental techniques that quantify these processes with unprecedented resolution. Discover a general stochastic framework for mixing and dispersion in porous media flows of arbitrary complexity, from simple steady flows to complex unsteady and chaotic flows in poro-elastic media. Understand how this framework honors topological constraints of simple flows while accommodating complex scenarios. Witness the application of this framework to various porous media flows and learn how experimental data can generate ab-initio predictions of fluid mixing and dispersion across multiple length scales. Topics covered include complex flows, unsteady support scale flow, steady and unsteady Darcy scale flow, challenges in braiding of streams, singular and tensorial mixing, classification, and the general framework involving the deformation gradient tensor.