Microstructure-Dependent Predictions of Transport Properties in Porous Media

Explore theoretical estimates of effective transport characteristics in fluid-saturated porous media based on rigorous microstructure-property relations in this comprehensive lecture by Professor Salvatore Torquato from Princeton University. Delve into predictions for formation factor, mean survival time, principal NMR relaxation time, principal viscous relaxation time, and fluid permeability. Examine the transport properties of both hyperuniform and nonhyperuniform porous media models, with a focus on the unique characteristics of disordered hyperuniform materials. Compare fluid permeabilities and velocity field distributions between hyperuniform and nonhyperuniform porous media. Discover a new approximate formula for fluid permeability derived from rigorous bounds on transport properties. Learn about the time-dependent diffusion spreadability and its connection to nuclear magnetic resonance relaxation measurements. Gain insights into the microstructural characteristics that determine transport properties in general porous media through this in-depth exploration of theoretical concepts and their practical applications.

Introduction
Outline
Quantities
Hyperuniformity
What is hyperuniformity
Generalization of hyperuniformity
Hyper Uniformity
Poor Size Distribution
Julie George
Density fluctuations
Packed beds
NMR measurements
Mean survival time
Formation Factor
Fluid Permeability
Key Results
Cross Property Bounds
Equilibrium Packings
Prager
Generalization