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

Marek Wojciechowski
Marek Wojciechowski
   | 30. Nov. 2023
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Article Category: Special Issue 19th KKMGiIG
Online veröffentlicht: 30. Nov. 2023
Seitenbereich: 362 - 369
Eingereicht: 28. Feb. 2023
Akzeptiert: 21. Aug. 2023
DOI: https://doi.org/10.2478/sgem-2023-0025
Schlüsselwörter
© 2023 Marek Wojciechowski, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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%.
eISSN:
2083-831X
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
4 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Geowissenschaften, andere, Materialwissenschaft, Verbundwerkstoffe, Poröse Materialien, Physik, Mechanik und Fluiddynamik
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