Resolution-Dependent Multifractal Characteristics of Flow in Digital Rock Twin Simulated Using the Lattice Boltzmann Method

Digital rock twins are widely used to obtain hydraulic properties of porous media by simulating pore-scale fluid flow. Multifractal characteristics of pore geometry and flow velocity distribution have been discovered with two-dimensional (2D) images and three-dimensional (3D) models, whereas the dep...

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Main Authors: Han Tang, Yanhui Dong, Xu-Sheng Wang, Li Wan, Xiao-Wei Jiang
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2023/6880594
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author Han Tang
Yanhui Dong
Xu-Sheng Wang
Li Wan
Xiao-Wei Jiang
author_facet Han Tang
Yanhui Dong
Xu-Sheng Wang
Li Wan
Xiao-Wei Jiang
author_sort Han Tang
collection DOAJ
description Digital rock twins are widely used to obtain hydraulic properties of porous media by simulating pore-scale fluid flow. Multifractal characteristics of pore geometry and flow velocity distribution have been discovered with two-dimensional (2D) images and three-dimensional (3D) models, whereas the dependency of results on the resolution is not well known. We investigated resolution-dependent multifractal properties of 3D twin models for a sandstone sample with originally 3 μm resolution images. 3D pore-scale water flow was simulated with the lattice Boltzmann method (LBM). As indicated by multifractal analyses, the generalized dimension spectra, the Hölder exponent spectra, and singularity spectra of the flow velocity are similar to that of the pore geometry but different in ranges and sensitivities to the change in the model resolution. Nonlinear dependencies of 2D/3D porosity, holistic/slice permeability, equivalent pore radius squared, and multifractal parameters on the resolution were discussed.
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institution DOAJ
issn 1468-8123
language English
publishDate 2023-01-01
publisher Wiley
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series Geofluids
spelling doaj-art-ecbca6a43f7041aa81fa10a0bfe16c412025-08-20T03:06:36ZengWileyGeofluids1468-81232023-01-01202310.1155/2023/6880594Resolution-Dependent Multifractal Characteristics of Flow in Digital Rock Twin Simulated Using the Lattice Boltzmann MethodHan Tang0Yanhui Dong1Xu-Sheng Wang2Li Wan3Xiao-Wei Jiang4Key Laboratory of Groundwater Conservation of MWRKey Laboratory of Shale Gas and GeoengineeringKey Laboratory of Groundwater Conservation of MWRKey Laboratory of Groundwater Conservation of MWRKey Laboratory of Groundwater Conservation of MWRDigital rock twins are widely used to obtain hydraulic properties of porous media by simulating pore-scale fluid flow. Multifractal characteristics of pore geometry and flow velocity distribution have been discovered with two-dimensional (2D) images and three-dimensional (3D) models, whereas the dependency of results on the resolution is not well known. We investigated resolution-dependent multifractal properties of 3D twin models for a sandstone sample with originally 3 μm resolution images. 3D pore-scale water flow was simulated with the lattice Boltzmann method (LBM). As indicated by multifractal analyses, the generalized dimension spectra, the Hölder exponent spectra, and singularity spectra of the flow velocity are similar to that of the pore geometry but different in ranges and sensitivities to the change in the model resolution. Nonlinear dependencies of 2D/3D porosity, holistic/slice permeability, equivalent pore radius squared, and multifractal parameters on the resolution were discussed.http://dx.doi.org/10.1155/2023/6880594
spellingShingle Han Tang
Yanhui Dong
Xu-Sheng Wang
Li Wan
Xiao-Wei Jiang
Resolution-Dependent Multifractal Characteristics of Flow in Digital Rock Twin Simulated Using the Lattice Boltzmann Method
Geofluids
title Resolution-Dependent Multifractal Characteristics of Flow in Digital Rock Twin Simulated Using the Lattice Boltzmann Method
title_full Resolution-Dependent Multifractal Characteristics of Flow in Digital Rock Twin Simulated Using the Lattice Boltzmann Method
title_fullStr Resolution-Dependent Multifractal Characteristics of Flow in Digital Rock Twin Simulated Using the Lattice Boltzmann Method
title_full_unstemmed Resolution-Dependent Multifractal Characteristics of Flow in Digital Rock Twin Simulated Using the Lattice Boltzmann Method
title_short Resolution-Dependent Multifractal Characteristics of Flow in Digital Rock Twin Simulated Using the Lattice Boltzmann Method
title_sort resolution dependent multifractal characteristics of flow in digital rock twin simulated using the lattice boltzmann method
url http://dx.doi.org/10.1155/2023/6880594
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AT xushengwang resolutiondependentmultifractalcharacteristicsofflowindigitalrocktwinsimulatedusingthelatticeboltzmannmethod
AT liwan resolutiondependentmultifractalcharacteristicsofflowindigitalrocktwinsimulatedusingthelatticeboltzmannmethod
AT xiaoweijiang resolutiondependentmultifractalcharacteristicsofflowindigitalrocktwinsimulatedusingthelatticeboltzmannmethod