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Impact of porosity and particle size on diffusion in porous media : a 2d Lattice Boltzmann approach

Espinoza-Andaluz, Mayken LU ; Ordoñez-Saca, Brayan ; Santana-Villamar, Jordy ; Vallejo-Cervantes, Carlos and Andersson, Martin LU orcid (2025) ASME 2025 International Mechanical Engineering Congress and Exposition, IMECE 2025 In ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE) 7.
Abstract

The study of fluid transport in porous media is crucial for many applications in science and engineering. From a modeling perspective, understanding how diffusion parameters behave when microstructural variations are taken into account is a significant step toward achieving more detailed and accurate model predictions. It is widely recognized that hydraulic tortuosity is typically approximated as a function that depends solely on bulk porosity, neglecting other variables like particle size or the shape of solid particles. This work examines the influence of porosity and particle size on fundamental parameters such as hydraulic tortuosity, normalized diffusion coefficient, and permeability. Two-dimensional digitally created porous media... (More)

The study of fluid transport in porous media is crucial for many applications in science and engineering. From a modeling perspective, understanding how diffusion parameters behave when microstructural variations are taken into account is a significant step toward achieving more detailed and accurate model predictions. It is widely recognized that hydraulic tortuosity is typically approximated as a function that depends solely on bulk porosity, neglecting other variables like particle size or the shape of solid particles. This work examines the influence of porosity and particle size on fundamental parameters such as hydraulic tortuosity, normalized diffusion coefficient, and permeability. Two-dimensional digitally created porous media have been utilized to assess these parameters, and the Lattice Boltzmann method (LBM) has been employed to compute the velocity field within the pore material. In-house code has been developed, with the input variables being the bulk porosity of the media and particle size. 

For each bulk porosity, fifty samples were evaluated, with ten samples considered for every particle size. Ultimately, one hundred and fifty samples were included in this study. The results showed significant trends related to the morphological microstructure of the porous media. In particular, as anticipated, tortuosity and permeability are influenced by particle size and porosity. The novelty of this study lies in the proposed correlations among the different variables, which will assist in predicting diffusion parameters more accurately. Results are compared with previous theoretical and empirical models, highlighting both the advantages and limitations of the LBM approximation.

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author
; ; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Diffusion parameters, Lattice Boltzmann method, Porous media
host publication
Proceedings of ASME 2025 International Mechanical Engineering Congress and Exposition (IMECE2025) : November 16–20, 2025 Memphis, Tennessee, USA - November 16–20, 2025 Memphis, Tennessee, USA
series title
ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
volume
7
article number
V007T11A031
publisher
American Society Of Mechanical Engineers (ASME)
conference name
ASME 2025 International Mechanical Engineering Congress and Exposition, IMECE 2025
conference location
Memphis, United States
conference dates
2025-11-16 - 2025-11-20
external identifiers
  • scopus:105036023691
ISBN
978-0-7918-8938-1
DOI
10.1115/IMECE2025-165299
language
English
LU publication?
yes
id
ae20638c-c060-412f-97db-234b95cfe72e
date added to LUP
2026-04-30 17:07:16
date last changed
2026-06-02 09:58:55
@inproceedings{ae20638c-c060-412f-97db-234b95cfe72e,
  abstract     = {{<p>The study of fluid transport in porous media is crucial for many applications in science and engineering. From a modeling perspective, understanding how diffusion parameters behave when microstructural variations are taken into account is a significant step toward achieving more detailed and accurate model predictions. It is widely recognized that hydraulic tortuosity is typically approximated as a function that depends solely on bulk porosity, neglecting other variables like particle size or the shape of solid particles. This work examines the influence of porosity and particle size on fundamental parameters such as hydraulic tortuosity, normalized diffusion coefficient, and permeability. Two-dimensional digitally created porous media have been utilized to assess these parameters, and the Lattice Boltzmann method (LBM) has been employed to compute the velocity field within the pore material. In-house code has been developed, with the input variables being the bulk porosity of the media and particle size. </p><p>For each bulk porosity, fifty samples were evaluated, with ten samples considered for every particle size. Ultimately, one hundred and fifty samples were included in this study. The results showed significant trends related to the morphological microstructure of the porous media. In particular, as anticipated, tortuosity and permeability are influenced by particle size and porosity. The novelty of this study lies in the proposed correlations among the different variables, which will assist in predicting diffusion parameters more accurately. Results are compared with previous theoretical and empirical models, highlighting both the advantages and limitations of the LBM approximation.</p>}},
  author       = {{Espinoza-Andaluz, Mayken and Ordoñez-Saca, Brayan and Santana-Villamar, Jordy and Vallejo-Cervantes, Carlos and Andersson, Martin}},
  booktitle    = {{Proceedings of ASME 2025 International Mechanical Engineering Congress and Exposition (IMECE2025) : November 16–20, 2025 Memphis, Tennessee, USA}},
  isbn         = {{978-0-7918-8938-1}},
  keywords     = {{Diffusion parameters; Lattice Boltzmann method; Porous media}},
  language     = {{eng}},
  publisher    = {{American Society Of Mechanical Engineers (ASME)}},
  series       = {{ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)}},
  title        = {{Impact of porosity and particle size on diffusion in porous media : a 2d Lattice Boltzmann approach}},
  url          = {{http://dx.doi.org/10.1115/IMECE2025-165299}},
  doi          = {{10.1115/IMECE2025-165299}},
  volume       = {{7}},
  year         = {{2025}},
}