KFU. Card publication. Determination of a Representative Elementary Volume for Flow Characteristics of Heterogeneous Digital Cores Using Statistics

- RUS
- 中文
- ES

DETERMINATION OF A REPRESENTATIVE ELEMENTARY VOLUME FOR FLOW CHARACTERISTICS OF HETEROGENEOUS DIGITAL CORES USING STATISTICS

Form of presentation

Articles in international journals and collections

Year of publication

2022

��

��

Authors, employees of KFU

Zakirov Timur Rustamovich, author

Konyukhov Vladimir Mikhaylovich, author

Khramchenkov Maksim Georgievich, author

Chekalin Anatoliy Nikolaevich, author

Other authors

Konyukhov Ivan Vladimirovich, author

Bibliographic description in the original language

Zakirov T.R, Khramchenkov M.G, Konyukhov V.M, Determination of a Representative Elementary Volume for Flow Characteristics of Heterogeneous Digital Cores Using Statistics//Lobachevskii Journal of Mathematics. - 2022. - Vol.43, Is.12. - P.3686-3695.

Annotation

This paper studies the effect of the pore space heterogeneity on the size of a representative elementary volume for two single-phase flow characteristics — absolute permeability coefficient and tortuosity. To identify the minimum size of the representative elementary volume, the statistical approach is applied. Digital images of porous media are generated by the Monte- Carlo movement algorithm, which allows to control pore space heterogeneity. The results of this paper have been obtained using the numerical modeling based on the lattice Boltzmann equations. The results showed that the pore space heterogeneity tends to increase in the coefficient of variation for both absolute permeability and tortuosity, which leads to an increase in the minimum size of representative elementary volume. It has been found that the coefficients of variation calculated for tortuosity are significantly smaller than for absolute permeability. An increase in porosity leads to the decrease in the coefficient of variation and the minimum size of the representative elementary volume, accordingly.

Keywords

absolute permeability, tortuosity, representative elementary volume, heterogeneity, coefficient of variation, lattice Boltzmann equations.

The name of the journal

Lobachevskii Journal of Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85150444085&doi=10.1134%2fS1995080222150318&partnerID=40&md5=2c41abd59e0773db6503197284d6c18f

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

https://repository.kpfu.ru/eng/?p_id=278384&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Zakirov Timur Rustamovich	ru_RU
dc.contributor.author	Konyukhov Vladimir Mikhaylovich	ru_RU
dc.contributor.author	Khramchenkov Maksim Georgievich	ru_RU
dc.contributor.author	Chekalin Anatoliy Nikolaevich	ru_RU
dc.contributor.author	Konyukhov Ivan Vladimirovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Zakirov T.R, Khramchenkov M.G, Konyukhov V.M, Determination of a Representative Elementary Volume for Flow Characteristics of Heterogeneous Digital Cores Using Statistics//Lobachevskii Journal of Mathematics. - 2022. - Vol.43, Is.12. - P.3686-3695.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=278384&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	This paper studies the effect of the pore space heterogeneity on the size of a representative elementary volume for two single-phase flow characteristics — absolute permeability coefficient and tortuosity. To identify the minimum size of the representative elementary volume, the statistical approach is applied. Digital images of porous media are generated by the Monte- Carlo movement algorithm, which allows to control pore space heterogeneity. The results of this paper have been obtained using the numerical modeling based on the lattice Boltzmann equations. The results showed that the pore space heterogeneity tends to increase in the coefficient of variation for both absolute permeability and tortuosity, which leads to an increase in the minimum size of representative elementary volume. It has been found that the coefficients of variation calculated for tortuosity are significantly smaller than for absolute permeability. An increase in porosity leads to the decrease in the coefficient of variation and the minimum size of the representative elementary volume, accordingly.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	absolute permeability	ru_RU
dc.subject	tortuosity	ru_RU
dc.subject	representative elementary volume	ru_RU
dc.subject	heterogeneity	ru_RU
dc.subject	coefficient of variation	ru_RU
dc.subject	lattice Boltzmann equations.	ru_RU
dc.title	Determination of a Representative Elementary Volume for Flow Characteristics of Heterogeneous Digital Cores Using Statistics	ru_RU
dc.type	Articles in international journals and collections	ru_RU