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Application of generalized boundary conditions for homogenization of thermal and filtration properties of soils Cover

Application of generalized boundary conditions for homogenization of thermal and filtration properties of soils

Studia Geotechnica et Mechanica
Volume 45 (2023): Issue s1 (December 2023)
By: Marek Wojciechowski  
Open Access
|Nov 2023

Figures & Tables

Figure 1:

Example of SVE used for homogenization of permeability coefficient. Approximately 32 spherical inclusions are distributed in a random uniform way and surrounded by the interphase layer.
Example of SVE used for homogenization of permeability coefficient. Approximately 32 spherical inclusions are distributed in a random uniform way and surrounded by the interphase layer.

Figure 2:

Averaged apparent permeability K relative to the interphase filtration coefficient kt, for different values of the ℓd \frac{\ell }{d} ratio. Standard error, shown on the error bars, never exceeds 4%.
Averaged apparent permeability K relative to the interphase filtration coefficient kt, for different values of the ℓd \frac{\ell }{d} ratio. Standard error, shown on the error bars, never exceeds 4%.

Figure 3:

Examples of random uniform distributions of soil components in voxelized domain (yellow – Sa, green – Si, blue – Cl, violet – water). On the left 173 voxels, on the right 653 voxels.
Examples of random uniform distributions of soil components in voxelized domain (yellow – Sa, green – Si, blue – Cl, violet – water). On the left 173 voxels, on the right 653 voxels.

Figure 4:

Averaged and isotropized macroscopic thermal conductivity Λ relative to the ℓd \frac{\ell }{d} ratio and for different SVE sizes. Standard error, shown on the error bars, never exceeds 1.5%.
Averaged and isotropized macroscopic thermal conductivity Λ relative to the ℓd \frac{\ell }{d} ratio and for different SVE sizes. Standard error, shown on the error bars, never exceeds 1.5%.

Figure 5:

Averaged and isotropized macroscopic thermal conductivity Λ relative to the SVE size and for different ℓd \frac{\ell }{d} ratios. In addition, the results obtained with periodic BCs are presented. Standard error, shown on the error bars, never exceeds 1.5%.
Averaged and isotropized macroscopic thermal conductivity Λ relative to the SVE size and for different ℓd \frac{\ell }{d} ratios. In addition, the results obtained with periodic BCs are presented. Standard error, shown on the error bars, never exceeds 1.5%.
DOI: https://doi.org/10.2478/sgem-2023-0025 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
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Language: English
Page range: 362 - 369
Submitted on: Feb 28, 2023
Accepted on: Aug 21, 2023
Published on: Nov 30, 2023
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Homogenization,
Finite element method,
Generalized boundary conditions,
Darcy flow,
Heat conduction
Related subjects:
Geosciences,
Geosciences, other,
Materials sciences,
Composites,
Porous materials,
Physics,
Mechanics and fluid dynamics

© 2023 Marek Wojciechowski, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.

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