Calculation of anisotropy permeability from 3D tomographic images using renormalization group approaches and lattice Boltzmann method

Irayani, Zaroh; Fauzi, Umar; Viridi, Sparısoma; Latief, Fourier Dzar Eljabbar

doi:10.1007/s13202-018-0558-9

Cited by 9 publications

(7 citation statements)

References 21 publications

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“…For instance, Dehghan Khalili et al used KRM to calculate the upscaled permeability for four high-resolution carbonate plugs, and the highest relative error is estimated at ∼−73%. In addition, relative errors ranging from −2.03 to 31.83% were observed by Irayani et al even in homogeneous sandstones.…”

Section: Resultsmentioning

confidence: 99%

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Influence of Heterogeneity on Carbonate Permeability Upscaling: A Renormalization Approach Coupled with the Pore Network Model

et al. 2022

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Permeability upscaling in carbonate rocks is challenging due to the heterogeneity at multiple scales. Although there are several computational methods for permeability upscaling, the applicability, computational time, and the associated accuracy of these methods may vary significantly. This article modified an established Karim and Krabbenhoft renormalization method (KRM) and proposed a regression-based renormalization for permeability upscaling in carbonate rocks, and the results are compared with the classical KRM. To this end, permeability at the small-scale samples (size = 500 3 and 600 3 voxels, from 405 to 7944 μm 3 ) and the whole core plug scale are computed from three carbonate samples of varying heterogeneity and composition using pore network models extracted from 3D micro-CT images. Subsequently, the modified regression-based renormalization method is applied to calculate the regression (upscaled) permeability. Our results indicate that the regression permeability is in good agreement with experimental permeability for full-size core plug estimations (maximum error = 11.07%) using the proposed RKRM approach suggesting the accuracy of this method. Furthermore, the relative error of the permeability estimation from small-scale samples using KRM was much higher than those of the RKRMsuggesting the superiority of the proposed approach over the classical one. The observed errors in permeability using the RKRM approach, despite being lower than the classical KRM approach, are attributed to the heterogeneity of carbonate samples at the sub-core and core scales. The results of this study thus add to the general understanding of permeability upscaling in carbonates and the associated impact of heterogeneity.

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Section: Resultsmentioning

confidence: 99%

“…Similar problems are encountered elsewhere . The relative errors are of the order of approximately 40% for the three samples, and the KRM approach arguably underestimates the absolute permeability calculated numerically by LBM . This is observed for A-4 and TC samples.…”

Section: Materials and Laboratory Measurementsmentioning

confidence: 99%

Influence of Heterogeneity on Carbonate Permeability Upscaling: A Renormalization Approach Coupled with the Pore Network Model

et al. 2022

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“…Jiang et al [33] established the connection between damage and unloading time in excavation induced rock failure. Wei [34] and Iranyani [35] et al studied the anisotropy permeability in porous rock and gave the estimation method rely on renormalization group theory. The above-mentioned works provide an insight for dealing with the water induced deterioration process in redbed soft rocks.…”

Section: The Meso-structures Of Red-bed Soft Rocks and The Corresponding Unit Modelsmentioning

confidence: 99%

The Critical Indicator of Red-Bed Soft Rocks in Deterioration Process Induced by Water Basing on Renormalization Group Theory

et al. 2021

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The internal damage of red-bed soft rock induced by water is pervasive. The accumulation, growth, and localization of damage is a multi-scale process that can lead to significant strength loss in red-bed soft rock. Yet, research on the critical state of deterioration process considering multi-scale failure is limited due to high degree of system freedom. Renormalization group theory is an effective approach to find critical point of phase transition in a disordered system. To apply renormalization group theory in red-bed soft rocks, this article firstly analyzed their microstructures. Then, the granular unit model and stripy unit model are proposed to describe the self-similar characteristics of red-bed soft rocks. The calculation results based on renormalization group theory are consistent with the experimental results. The critical reductions of strength induced by water are 60% in light-yellow silty mudstone and 80% in grey silty mudstone. In addition, the critical state of damage propagation caused by stress is also studied and the analytical solution is derived. Results show that the renormalization group theory can effectively couple the micro damage and strength deterioration which provides guidance to the engineering.

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“…These methods study the fibrous medium at mesoscopic scale and consider fictitious particles in a discrete space-time grid [80][81][82][83][84][85][86]. Figure 12 [87] shows digitized sandstones (i.e., Fontainebleau(FO), Berea (BE), and Sumatra (SU)) where the Latice Boltzman method is applied in order to predict the permeability values. Shan and Chen [84] developed a lattice Boltzmann model which has the ability to simulate flows with immiscible components as well as multiple phases; multiple thermodynamic phases a re the targeted medium.…”

Section: Review Of Fabric Permeability Prediction: Numerical Simulationsmentioning

confidence: 99%

Progress in Experimental and Theoretical Evaluation Methods for Textile Permeability

et al. 2019

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A great amount of attention has been given to the evaluation of the permeability tensor and several methods have been implemented for this purpose: experimental methods, as well as numerical and analytical methods. Numerical simulation tools are being seriously developed to cover the evaluation of permeability. However, the results are still far from matching reality. On the other hand, many problems still intervene in the experimental measurement of permeability, since it depends on several parameters including personal performance, preparation of specimens, equipment accuracy, and measurement techniques. Errors encountered in these parameters may explain why inconsistent measurements are obtained which result in unreliable experimental evaluation of permeability. However, good progress was done in the second international Benchmark, wherein a method to measure the in-plane permeability was agreed on by 12 institutes and universities. Critical researchers’ work was done in the field of analytical methods, and thus different empirical and analytical models have emerged, but most of those models need to be improved. Some of which are based on Cozeny-Karman equation. Others depend on numerical simulation or experiment to predict the macroscopic permeability. Also, the modeling of permeability of unidirectional fiber beds have taken the greater load of concern, whereas that of fiber bundle permeability prediction remain limited. This paper presents a review on available methods for evaluating unidirectional fiber bundles and engineering fabric permeability. The progress of each method is shown in order to clear things up.

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Calculation of anisotropy permeability from 3D tomographic images using renormalization group approaches and lattice Boltzmann method

Cited by 9 publications

References 21 publications

Influence of Heterogeneity on Carbonate Permeability Upscaling: A Renormalization Approach Coupled with the Pore Network Model

Influence of Heterogeneity on Carbonate Permeability Upscaling: A Renormalization Approach Coupled with the Pore Network Model

The Critical Indicator of Red-Bed Soft Rocks in Deterioration Process Induced by Water Basing on Renormalization Group Theory

Progress in Experimental and Theoretical Evaluation Methods for Textile Permeability

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