Abstract by Rachel Drapeau
Modeling rock microstructure using applied persistent homology
We describe a novel system of determining rock microstructure using persistent homology as a means of extracting pertinent information. Persistent homology finds holes, or areas of different density material, inside the rock using X-ray or CT scans of the rock. These holes can translate to pore spaces in the rock, and we use persistent homology to calculate the average pore diameter to determine the porosity and permeability of the rock. This method can lead to more efficient methods of classifying rocks and how fluids flow in them, especially in the fields of groundwater and oil exploration, without using destructive methods.