KFU. Card publication. Multiple Cubes Growth Algorithms for Simple Representative Elementary Volume Determination on 3D Binary Images

KAZAN
FEDERAL UNIVERSITY

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MULTIPLE CUBES GROWTH ALGORITHMS FOR SIMPLE REPRESENTATIVE ELEMENTARY VOLUME DETERMINATION ON 3D BINARY IMAGES

Form of presentation

Articles in Russian journals and collections

Year of publication

2024

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Authors, employees of KFU

Kadyrov Rail Ilgizarovich, author

Bibliographic description in the original language

Kadyrov R.I. Multiple Cubes Growth Algorithms for Simple Representative Elementary Volume Determination on 3D Binary Images / Kadyrov, R. I. // Scientific Visualization. -. 2024. -. Vol. 16, No. 1. P. 124–135

Annotation

Porosity analysis is fundamental for understanding various material properties and transport phenomena in scientific and engineering disciplines. This study delves into the challenging task of determining the representative elementary volume (REV) in porous media, crucial for accurate analyses. Two novel algorithms, Center-Corner Cubes Growing (3CG) and Random Cubes Growing (RCG), were proposed and tested on synthetic body-centered cubic (BCC) sphere packing and natural porous structures of Berea sandstone and Indiana limestone, obtained using ?CT. First algorithm (3CG) operates by analyzing porosity within cubes growing from each of the eight corners and a central region of a 3D binarized stack. In contrast, the Random Cube Growing (RCG) algorithm randomly selects seed points within the 3D stack and grows cubic regions around them. Both algorithms systematically compute porosity for various cube sizes, determining the average porosity and standard deviation for each extent. These visual analytics tools contribute to identifying the specific size ranges where porosity curves converge and stabilize, indicating potential REV within the material. While 3CG simplifies the approach by focusing on a limited number of curves, RCG provides a broader view, capturing diverse porosity patterns. The absence of consistent local minima in certain cases indicates high porosity heterogeneity and the impossibility of achieving REV in certain sample sizes.

Keywords

Representative Elementary Volume (REV), Porosity, Center-Corner Cubes Growing (3CG), Random Cubes Growing (RCG), Plot, Visualization

The name of the journal

Scientific Visualization

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=298072&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kadyrov Rail Ilgizarovich	ru_RU
dc.date.accessioned	2024-01-01T00:00:00Z	ru_RU
dc.date.available	2024-01-01T00:00:00Z	ru_RU
dc.date.issued	2024	ru_RU
dc.identifier.citation	Kadyrov R.I. Multiple Cubes Growth Algorithms for Simple Representative Elementary Volume Determination on 3D Binary Images / Kadyrov, R. I. // Scientific Visualization. -. 2024. -. Vol. 16, No. 1. P. 124–135	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=298072&p_lang=2	ru_RU
dc.description.abstract	Scientific Visualization	ru_RU
dc.description.abstract	Porosity analysis is fundamental for understanding various material properties and transport phenomena in scientific and engineering disciplines. This study delves into the challenging task of determining the representative elementary volume (REV) in porous media, crucial for accurate analyses. Two novel algorithms, Center-Corner Cubes Growing (3CG) and Random Cubes Growing (RCG), were proposed and tested on synthetic body-centered cubic (BCC) sphere packing and natural porous structures of Berea sandstone and Indiana limestone, obtained using ?CT. First algorithm (3CG) operates by analyzing porosity within cubes growing from each of the eight corners and a central region of a 3D binarized stack. In contrast, the Random Cube Growing (RCG) algorithm randomly selects seed points within the 3D stack and grows cubic regions around them. Both algorithms systematically compute porosity for various cube sizes, determining the average porosity and standard deviation for each extent. These visual analytics tools contribute to identifying the specific size ranges where porosity curves converge and stabilize, indicating potential REV within the material. While 3CG simplifies the approach by focusing on a limited number of curves, RCG provides a broader view, capturing diverse porosity patterns. The absence of consistent local minima in certain cases indicates high porosity heterogeneity and the impossibility of achieving REV in certain sample sizes.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Representative Elementary Volume (REV)	ru_RU
dc.subject	Porosity	ru_RU
dc.subject	Center-Corner Cubes Growing (3CG)	ru_RU
dc.subject	Random Cubes Growing (RCG)	ru_RU
dc.subject	Plot	ru_RU
dc.subject	Visualization	ru_RU
dc.title	Multiple Cubes Growth Algorithms for Simple Representative Elementary Volume Determination on 3D Binary Images	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU