Digital image reduction for the analysis of topological changes in the pore space of rock matrix

Digital image reduction for the analysis of topological changes in the pore space of rock matrix Full article

Journal

Computers and Geotechnics
ISSN: 0266-352X , E-ISSN: 1873-7633

Output data

Year: 2021, Volume: 136, Article number : 104171, Pages count : DOI: 10.1016/j.compgeo.2021.104171

Tags

Digital image reduction; Persistence homology; Porous materials

Authors

Prokhorov D. ^1,2 , Lisitsa V. ¹ , Bazaikin Y. ^1,2

Affiliations

1	Sobolev Institute of Mathematics SB RAS, 4 Koptug ave., Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 1 Pirogova str., Novosibirsk, 630090, Russian Federation

The paper presents an original algorithm for reducing three-dimensional digital images to improve the computing performance of persistence diagrams. These diagrams represent changes in pore space topology during essential or artificial changes in the structure of porous materials. The algorithm has linear complexity because during reduction, each voxel is checked not more than seven times. This check, as well as the removal of voxels, takes a constant number of operations. We illustrate that the algorithm's efficiency depends on the complexity of the original pore space and the size of filtration steps. The application of the reduction algorithm allows the computation of one-dimensional persistence Betti numbers for models of up to 5003 voxels by using a single computational node. Thus, it can be used for routine topological analysis and the topological optimization of porous materials. © 2021 Elsevier Ltd

Prokhorov D. , Lisitsa V. , Bazaikin Y.
Digital image reduction for the analysis of topological changes in the pore space of rock matrix
Computers and Geotechnics. 2021. V.136. 104171 . DOI: 10.1016/j.compgeo.2021.104171 WOS Scopus OpenAlex

Web of science:	WOS:000705911000006
Scopus:	2-s2.0-85105499527
OpenAlex:	W3160905725

DB	Citing
Scopus	6
OpenAlex	7
Web of science	6