Computation of Saturation Dependence of Effective Diffusion Coefficient in Unsaturated Argillite Micro-fracture by Lattice Boltzmann Method

Genty, Alain; Gueddani, Soukaina; Dymitrowska, Magdalena

doi:10.1007/s11242-017-0826-z

Cited by 3 publications

(2 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In contrast to empirical models, 3D pore‐scale simulations can provide a process‐based understanding of the relationship between solute transport and water saturation and can help to quantify the contributions of either factors on the overall solute mobility. Several pore‐scale modeling studies have been conducted to calculate the effective diffusivity in porous media under saturated and unsaturated conditions (de Vries et al., 2017; Genty et al., 2017; Genty & Pot, 2014; Liu et al., 2020; Poonoosamy et al., 2022; Yang & Wang, 2019; M. Zhang et al., 2012). Given that pore‐scale models require an explicit mesh based discretization of pore space, the solute transport in previous pore‐scale simulations was mainly constrained by the classical percolation theory (Scher & Zallen, 1970; Zallen, 2008).…”

Section: Introductionmentioning

confidence: 99%

Elucidating the role of water films on solute diffusion in unsaturated porous media by improved pore‐scale modeling

Yang,

Patel,

Prasianakis

et al. 2024

Vadose Zone Journal

View full text Add to dashboard Cite

Solute diffusion in partially saturated porous media is an important fundamental process in many natural and environmental systems. At low water saturation, the solute transport is governed by the diffusion in thin water films on the surfaces of solids. In this study, we established an improved pore‐scale simulation framework successfully describing the solute diffusion in variably saturated porous media (e.g., soils), which considers the contribution of the diffusion within the thin water film on the surface of the solid matrix. The model takes into account the liquid–gas distribution in the underlying porous media by the Shan‐Chen lattice Boltzmann Method (LBM) and simulates the solute diffusion in the bulk liquid phase and the water film. Based on the numerical results, an easy‐to‐use theoretical formula was also developed to predict the effective diffusivity in microporous materials at low saturation levels. The average relative error of its prediction with respect to the experimental data from the literature is about 30%, while that of the classical power law exceeds 70%. A simple phase diagram was defined, which allows us to identify the situations under which it is necessary to take the influence of surface water films on the effective diffusivity in unsaturated microporous media into account. The present study improves the pore‐scale model to address solute diffusion in the water films at low water saturation and elucidates the contribution of thin water films on solute transport.

show abstract

Section: Introductionmentioning

confidence: 99%

Elucidating the role of water films on solute diffusion in unsaturated porous media by improved pore‐scale modeling

Yang,

Patel,

Prasianakis

et al. 2024

Vadose Zone Journal

View full text Add to dashboard Cite

show abstract

“…LBM has been employed in various fields, including earth sciences and geology, to understand transport in open pores and porous structures. For example, it was used by Auzerais et al (1996) to examine the scale dependence and influence of heterogeneities of transport properties in Fontainebleau sandstone; by Okabe and Blunt (2004) to predict the permeability of porous media based on 3-D CT images and reconstructed 2-D images; by Gao et al (2015) to study the permeability of sandstones for the voxel size dependency; and by Genty et al (2017) to study the microfracture of indurated argillite Oparinus clay and obtain the effective diffusion coefficient. Finally, the experimental and numerical results were compared to explore the relationship between the anisotropic transport parameters and bedding plane direction.…”

Section: Introductionmentioning

confidence: 99%

Effect of Bedding Planes on the Permeability and Diffusivity Anisotropies of Berea Sandstone

et al. 2018

View full text Add to dashboard Cite

Evaluating the anisotropy of transport parameters in rocks is important for various applications, such as reservoir engineering and rock mechanics. Owing to their anisotropic pore structures, the tortuosity, constrictivity, and pore size distribution of rocks are often anisotropic in nature, which in turn affect the permeability and diffusivity. However, it has still not been determined whether the permeability and diffusivity are anisotropic in the same manner. This study used experiments and numerical modeling to examine the effect of the pore structure on the permeability and diffusivity anisotropies of rocks. The experimental results showed a clear difference in the anisotropy ratios of the permeability (k ⊥ /k) and diffusivity (D ⊥ e /D e) for Berea sandstone, which is the de facto standard porous sandstone. The analysis results from micro-focus X-ray computed tomography and simulation with the lattice Boltzmann method supported the experimental difference in anisotropy ratios. In the analysis and simulation, the relation between the minimum cross-sectional porosity area and characteristic pressure gradient was estimated. The analysis results suggest that the minimum cross-sectional porosity areas that influence the permeability anisotropy are too large to physically induce anisotropic NaCl diffusion, and thus, the diffusivity of Berea sandstone is nearly isotropic.

show abstract

Determination of the diffusivity, dispersion, skewness and kurtosis in heterogeneous porous flow. Part II: Lattice Boltzmann schemes with implicit interface

Ginzburg¹

2018

Advances in Water Resources

View full text Add to dashboard Cite

Computation of Saturation Dependence of Effective Diffusion Coefficient in Unsaturated Argillite Micro-fracture by Lattice Boltzmann Method

Cited by 3 publications

References 46 publications

Elucidating the role of water films on solute diffusion in unsaturated porous media by improved pore‐scale modeling

Elucidating the role of water films on solute diffusion in unsaturated porous media by improved pore‐scale modeling

Effect of Bedding Planes on the Permeability and Diffusivity Anisotropies of Berea Sandstone

Determination of the diffusivity, dispersion, skewness and kurtosis in heterogeneous porous flow. Part II: Lattice Boltzmann schemes with implicit interface

Contact Info

Product

Resources

About