A new analytical model for the permeability of anisotropic structured porous media

Nordlund, Markus; Penha, D.J. Lopez; Stolz, Steffen; Kuczaj, Arkadiusz K.; Winkelmann, Christoph; Geurts, Bernardus J.

doi:10.1016/j.ijengsci.2013.01.003

Cited by 9 publications

(5 citation statements)

References 38 publications

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“…The corresponding representative elementary volume (REV), which serves as a building block for these porous media, is indicated by the dashed lines in Figure . By changing the distance between the squares, the volume occupied by the solid can be changed, giving control over the porosity . We assume that the distance between the squares in both x and y directions is L , implying porosity of 3 / 4.…”

Section: Motion Of Aerosol Droplets In a Gas Flowmentioning

confidence: 99%

No‐slip consistent immersed boundary particle tracking to simulate impaction filtration in porous media

Ghazaryan

Penha

Stolz

et al. 2013

Numerical Methods in Fluids

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SUMMARYIn this paper, we present a new method for simulating the motion of a disperse particle phase in a carrier gas through porous media. We assume a sufficiently dilute particle‐laden flow and compute, independently of the disperse phase, the steady laminar fluid velocity using the immersed boundary method. Given the velocity of the carrier gas, the equations of motion for the particles experiencing the Stokes drag force are solved to determine their trajectories. The ‘no‐slip consistent’ particle tracking algorithm avoids possible numerical filtration of very small particles due to the nonzero velocity field at the solid–fluid interface introduced by the immersed boundary method. This physically consistent tracking allows a reliable estimation of the filtration efficiency of porous filters due to inertial impaction. We illustrate and test our new approach for model porous media consisting of a structured array of aligned rectangular fibers, arranged in line and staggered. In the staggered geometry, the effect of the residual velocity at the solid–fluid interface is significant for particles with low inertia. Without adopting the developed no‐slip consistent numerical method, an artificial numerical filtration is observed, which becomes dominant for small enough particles. For both the in line and the staggered geometries, the filtration rate depends quite strongly and non monotonically on the particle inertia. This is expressed most clearly in the staggered arrangement in which a very strong increase in the filtration efficiency is observed at a well‐defined critical droplet size, corresponding to a qualitative change in the dominant particle paths in the porous medium. Copyright © 2013 John Wiley & Sons, Ltd.

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Section: Motion Of Aerosol Droplets In a Gas Flowmentioning

confidence: 99%

No‐slip consistent immersed boundary particle tracking to simulate impaction filtration in porous media

Ghazaryan

Penha

Stolz

et al. 2013

Numerical Methods in Fluids

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“…However, the intricacy, stochasticity, and heterogeneity inherent in natural porous rocks make it difficult to accurately and rapidly evaluate permeability, especially for tight rocks with low porosity. Therefore, a deep insight into the microstructure–permeability mapping is desirable and has attracted extensive research efforts, to develop a reliable and efficient method for permeability prediction [ 13 , 34 , 80 , 83 , 100 ].…”

Section: Introductionmentioning

confidence: 99%

A data-driven framework for permeability prediction of natural porous rocks via microstructural characterization and pore-scale simulation

Wang

Chen

et al. 2023

Engineering with Computers

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Understanding the microstructure–property relationships of porous media is of great practical significance, based on which macroscopic physical properties can be directly derived from measurable microstructural informatics. However, establishing reliable microstructure–property mappings in an explicit manner is difficult, due to the intricacy, stochasticity, and heterogeneity of porous microstructures. In this paper, a data-driven computational framework is presented to investigate the inherent microstructure–permeability linkage for natural porous rocks, where multiple techniques are integrated together, including microscopy imaging, stochastic reconstruction, microstructural characterization, pore-scale simulation, feature selection, and data-driven modeling. A large number of 3D digital rocks with a wide porosity range are acquired from microscopy imaging and stochastic reconstruction techniques. A broad variety of morphological descriptors are used to quantitatively characterize pore microstructures from different perspectives, and they compose the raw feature pool for feature selection. High-fidelity lattice Boltzmann simulations are conducted to resolve fluid flow passing through porous media, from which reliable permeability references are obtained. The optimal feature set that best represents permeability is identified through a performance-oriented feature selection process, upon which a cost-effective surrogate model is rapidly fitted to approximate the microstructure-permeability mapping via data-driven modeling. This surrogate model exhibits great advantages over empirical/analytical formulas in terms of prediction accuracy and generalization capacity, which can predict reliable permeability values spanning four orders of magnitude. Besides, feature selection also greatly enhances the interpretability of the data-driven prediction model, from which new insights into the mechanism of how microstructural characteristics determine intrinsic permeability are obtained.

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“…Also, the use of higher-order IB methods such as [29] is in this case not very advantageous because of the many points of non-differentiability of the shape of the flow domain. The adopted IB method was also used successfully for the simulation of flow through porous media [30][31][32] and through cerebral aneursyms [33][34][35][36] .…”

Section: Introductionmentioning

confidence: 99%

Recent developments in multiscale forcing for enhanced mixing

Geurts

Souza

2018

Computers & Fluids

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A new analytical model for the permeability of anisotropic structured porous media

Cited by 9 publications

References 38 publications

No‐slip consistent immersed boundary particle tracking to simulate impaction filtration in porous media

No‐slip consistent immersed boundary particle tracking to simulate impaction filtration in porous media

A data-driven framework for permeability prediction of natural porous rocks via microstructural characterization and pore-scale simulation

Recent developments in multiscale forcing for enhanced mixing

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