Statistical Inference for Porous Materials using Persistent Homology.

Technical Report · Fri Dec 01 04:00:00 EST 2017

DOI:https://doi.org/10.2172/1414662· OSTI ID:1414662

Moon, Chul ^[1]; Heath, Jason E. ^[2]; Mitchell, Scott A. ^[2]

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1. Univ. of Georgia, Athens, GA (United States)
2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

We propose a porous materials analysis pipeline using persistent homology. We rst compute persistent homology of binarized 3D images of sampled material subvolumes. For each image we compute sets of homology intervals, which are represented as summary graphics called persistence diagrams. We convert persistence diagrams into image vectors in order to analyze the similarity of the homology of the material images using the mature tools for image analysis. Each image is treated as a vector and we compute its principal components to extract features. We t a statistical model using the loadings of principal components to estimate material porosity, permeability, anisotropy, and tortuosity. We also propose an adaptive version of the structural similarity index (SSIM), a similarity metric for images, as a measure to determine the statistical representative elementary volumes (sREV) for persistence homology. Thus we provide a capability for making a statistical inference of the uid ow and transport properties of porous materials based on their geometry and connectivity.

• Research Organization: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 1414662
• Report Number(s): SAND--2017-13586R; 659552
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE