Augmented Topological Descriptors of Pore Networks for Material Science

Abstract

Abstract-One potential solution to reduce the concentration of carbon dioxide in the atmosphere is the geologic storage of captured CO 2 in underground rock formations, also known as carbon sequestration. There is ongoing research to guarantee that this process is both efficient and safe. We describe tools that provide measurements of media porosity, and permeability estimates, including visualization of pore structures. Existing standard algorithms make limited use of geometric information in calculating permeability of complex microstructures. This quantity is important for the analysis of biomineralization, a subsurface process that can affect physical properties of porous media. This paper introduces geometric and topological descriptors that enhance the estimation of material permeability. Our analysis framework includes the processing of experimental data, segmentation, and feature extraction and making novel use of multiscale topological analysis to quantify maximum flow through porous networks. We illustrate our results using synchrotron-based X-ray computed microtomography of glass beads during biomineralization. We also benchmark the proposed algorithms using simulated data sets modeling jammed packed bead beds of a monodispersive material.

Structure recognition from high resolution images of ceramic composites

“…As an example of how these tools work, we selected a subset of samples of µ-CT data at room temperature, which are subjected to incremental tensile load by a displacement-controlled loading system. We segment the image stacks using an approach similar to Ushizima et al [3,6].…”

“…Some of the major challenges in interpreting µ-CT require 3D image analysis methods capable of detecting relevant patterns that allow comparisons among samples [3]. One goal of these methods is to extract structural descriptors from 3D images that can be translated into microdamage quantifiers.…”

MaterialVis: Material visualization tool using direct volume and surface rendering techniques

“…CrystalMaker [5], Shape Software [6], XtalDraw [7], Vesta [8], Diamond [9] and Mercury [10] are some examples. There are also some studies on the analysis of crystals that also provide some visualization functionality, such as the work of by Ushizima et al [11]. These tools are essentially crystal analysis tools, which also provide some visualization functionality.…”

Detecting Symmetry in Scalar Fields Using Augmented Extremum Graphs

“…Augmenting topological constructs with geometric information results in powerful abstract representations as demonstrated recently in the study of pore networks [17,36]. We propose to augment the extremum graph with geometric information and this integration of both topological and geometric information facilitates efficient detection of geometric symmetry.…”