Event Detail

Event Type: 
Geometry-Topology Seminar
Date/Time: 
Monday, April 11, 2022 - 16:00 to 16:50
Location: 
BEXL 328 and Zoom [different time]

Speaker Info

Institution: 
Australian National University
Abstract: 

The physical properties of porous and granular materials critically depend on the topological and geometric details of the material micro-structure. For example, the way water flows through sandstone depends on the connectivity and diameters of its pores. This talk will be a guided tour of my work with the x-ray micro-CT group at ANU developing topologically valid and efficient algorithms for studying and quantifying the intricate structure of complex porous materials using persistent homology and pore-network models derived from distance maps to the solid-pore surface. Persistent homology of the signed Euclidean distance function provides a comprehensive description of both pore and grain structure and highlights properties such as the percolating length scales in porous materials, the degree of consolidation in sandpacks/ sandstones, and the distribution of fluid trapping in two-phase fluid experiments. More recently, we’ve shown that the max-flow/ min-cut approach to network analysis correlates with fluid permeability of pore-network models, and my Women in Computational Topology group has established rigorous results describing how persistence diagrams of signed Euclidean distance functions change with lowered image resolution.