Exploring Permeability in Porous Media

(Heidi Steiger)

In this project we explore a way of modeling porosity/permeability in terms of volume, surface area, curvature and Euler Characteristic.

Some very rough guidelines will be given to help you start thinking about the project. More details will be provided during subsequent discussions.

1. Look up the paper “Fluid flow in 3-dimensional porous systems shows power law scaling with Minkowski functionals” by Haque, Mitra, Dutta
2. Look up the paper “Computing the Volume, Surface Area, Mean, and Gaussian Curvatures of Molecules and Their Derivatives” by Koehl, Akopyan, Edelsbrunner