Representative Elementary Volume via Averaged Scalar Minkowski Functionals

Representative Elementary Volume via Averaged Scalar Minkowski Functionals Full article

Journal

Lecture Notes in Mechanical Engineering
ISSN: 2195-4356 , E-ISSN: 2195-4364

Output data

Year: 2022, Pages: 533-539 Pages count : 7 DOI: 10.1007/978-3-030-92144-6_40

Tags

Convex geometry; Minkowski functionals; Porous media; Representative elementary volume

Authors

Andreeva M.V. ¹ , Kalyuzhnyuk A.V. ² , Krutko V.V. ³ , Russkikh N.E. ¹ , Taimanov Iskander Asanovich ^4,5

Affiliations

1	A.P. Ershov Institute of Informatics Systems of SB RAS
2	Peter the Great St. Petersburg Polytechnic University
3	Gazpromneft Science and Technology Center
4	Sobolev Institute of Mathematics
5	Novosibirsk State University

Representative Elementary Volume (REV) at which the material properties do not vary with change in volume is an important quantity for making measurements or simulations which represent the whole. We discuss the geometrical method to evaluation of REV based on the quantities coming in the Steiner formula from convex geometry. For bodies in three-dimensional space this formula gives us four scalar functionals known as scalar Minkowski functionals. We demonstrate on certain samples that the values of such averaged functionals almost stabilize for cells for which the length of edges are greater than certain threshold value R. Therefore, from this point of view, it is reasonable to consider cubes of volume R^3 as representative elementary volumes for certain physical parameters of porous medium.

Andreeva M.V. , Kalyuzhnyuk A.V. , Krutko V.V. , Russkikh N.E. , Taimanov I.A.
Representative Elementary Volume via Averaged Scalar Minkowski Functionals
Lecture Notes in Mechanical Engineering. 2022. P.533-539. DOI: 10.1007/978-3-030-92144-6_40 Scopus РИНЦ OpenAlex

Scopus:	2-s2.0-85127114495
Elibrary:	48420621
OpenAlex:	W3047866237

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