Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies
Aggressive media in the environment will penetrate into the porous media through the connected pore channels, causing damage to the microstructure and reducing the working performance. In statistical physics, the connectivity of porous network is usually described by the concept of percolation. A cr...
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| Published in | Computer methods in applied mechanics and engineering Vol. 404; p. 115830 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.02.2023
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| Abstract | Aggressive media in the environment will penetrate into the porous media through the connected pore channels, causing damage to the microstructure and reducing the working performance. In statistical physics, the connectivity of porous network is usually described by the concept of percolation. A critical yet unresolved subject has been how to adequately capture the percolation thresholds of these complex porous network including polyshaped–polysized pores, and their quantitative implications on the transport property of porous media. This paper presents theoretical and numerical approaches for precisely determining the effects of pore shape- and size-polydispersities on percolation thresholds and diffusivity of porous media. Combining the Monte Carlo simulation with finite-size scaling analysis, the statistical values of percolation thresholds are obtained. Incorporating the proposed pore size-polydispersity degree with the excluded volume, the influences of pore shape- and size-polydispersities on the percolation thresholds are characterized. Substituting the percolation thresholds into generalized effective medium theory, the diffusivities of porous media are theoretically predicted. Moreover, the lattice Boltzmann method is employed to numerically calculate the diffusivity. Comparison with the theoretical, numerical and experimental results reveals the present model can accurately predict the percolation thresholds and diffusivities of porous media. The results indicate that the enhancing of the pore excluded volume and the decline of the pore size-polydispersity degree will decrease the percolation threshold and increase the diffusivity. This work can provide novel insights into understanding the complex interactions between the composition (pore shape- and size-polydispersities), microstructure (percolation threshold), and macro-property (diffusivity) of porous media.
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•A pore size-polydispersity degree is proposed to characterize how size distribution affect the percolation.•Coupling effect of pore shape- and size-polydispersities on the percolation threshold is suited.•The impact of pore composition on the percolation threshold from significant to slight is: shape > shape-polydispersity > size-polydispersity.•Influences of pore shape- and size-polydispersities on diffusivity is investigated. |
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| AbstractList | Aggressive media in the environment will penetrate into the porous media through the connected pore channels, causing damage to the microstructure and reducing the working performance. In statistical physics, the connectivity of porous network is usually described by the concept of percolation. A critical yet unresolved subject has been how to adequately capture the percolation thresholds of these complex porous network including polyshaped–polysized pores, and their quantitative implications on the transport property of porous media. This paper presents theoretical and numerical approaches for precisely determining the effects of pore shape- and size-polydispersities on percolation thresholds and diffusivity of porous media. Combining the Monte Carlo simulation with finite-size scaling analysis, the statistical values of percolation thresholds are obtained. Incorporating the proposed pore size-polydispersity degree with the excluded volume, the influences of pore shape- and size-polydispersities on the percolation thresholds are characterized. Substituting the percolation thresholds into generalized effective medium theory, the diffusivities of porous media are theoretically predicted. Moreover, the lattice Boltzmann method is employed to numerically calculate the diffusivity. Comparison with the theoretical, numerical and experimental results reveals the present model can accurately predict the percolation thresholds and diffusivities of porous media. The results indicate that the enhancing of the pore excluded volume and the decline of the pore size-polydispersity degree will decrease the percolation threshold and increase the diffusivity. This work can provide novel insights into understanding the complex interactions between the composition (pore shape- and size-polydispersities), microstructure (percolation threshold), and macro-property (diffusivity) of porous media.
[Display omitted]
•A pore size-polydispersity degree is proposed to characterize how size distribution affect the percolation.•Coupling effect of pore shape- and size-polydispersities on the percolation threshold is suited.•The impact of pore composition on the percolation threshold from significant to slight is: shape > shape-polydispersity > size-polydispersity.•Influences of pore shape- and size-polydispersities on diffusivity is investigated. |
| ArticleNumber | 115830 |
| Author | Chen, Huisu Xu, Wenxiang Li, Mingqi Lin, Jianjun Qing, Longbang |
| Author_xml | – sequence: 1 givenname: Mingqi surname: Li fullname: Li, Mingqi organization: School of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, China – sequence: 2 givenname: Longbang surname: Qing fullname: Qing, Longbang email: qing@hebut.edu.cn organization: School of Civil and Transportation Engineering, Hebei University of Technology, Tianjin 300401, China – sequence: 3 givenname: Huisu surname: Chen fullname: Chen, Huisu email: chenhs@seu.edu.cn organization: Jiangsu Key Laboratory of Construction Materials, School of Materials Science and Engineering, Southeast University, Nanjing 211189, China – sequence: 4 givenname: Wenxiang orcidid: 0000-0002-5269-1654 surname: Xu fullname: Xu, Wenxiang organization: Institute of Structures and Materials Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 211189, China – sequence: 5 givenname: Jianjun surname: Lin fullname: Lin, Jianjun organization: Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, School of Civil Engineering & Mechanics, Yanshan University, Qinhuangdao, 066004, China |
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