Multiscale computation of pore-scale fluid dynamics: Single-phase flow

Mehmani, Yashar

doi:10.1016/j.jcp.2018.08.045

Cited by 27 publications

(27 citation statements)

References 31 publications

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“…Amanbek et al (2019) developed a multi‐block method that basically decomposed the void space in porous media to accelerate the computation efficiently. Similar methods were also found in multi‐scale pore network models (Bultreys et al, 2015; Mehmani & Tchelepi, 2018, 2019). However, this kind of numerical treatment cannot fully resolve the scaling issue between pore‐ and Darcy‐scale models.…”

Section: Introductionsupporting

confidence: 60%

“…However, the DBS‐based micro‐continuum framework is computationally demanding for simulations using high‐resolution images. Subsequently, Guo et al (2019) extended the pore‐level multi‐scale model (Mehmani & Tchelepi, 2018, 2019) to the previously developed micro‐continuum method, which successfully achieved an effective multi‐scale formulation for compressible Darcy–Stokes flow in porous media by domain decomposition. The model was proved to be computationally efficient and well suited for parallelization to simulate fluid dynamics in 2D and 3D porous media reconstructed from high‐resolution digital images.…”

Section: Application Of the Multi‐scale Modelmentioning

confidence: 99%

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Recent progress in multi‐scale modeling and simulation of flow and solute transport in porous media

et al. 2021

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The heterogeneity and multi‐scale characteristics of porous media (such as soil aquifers) bring a series of uncertainties in studying flow and solute transport. In particular, the mathematical representation of these physical processes at different temporal and spatial scales, that is, the constitutive equations and parameters, is largely varied, which creates grand challenges in multi‐scale modeling and numerical simulation of flow and solute transport in porous media. In recent years, we acknowledge that at‐scale models and simulations have been greatly progressed, which means that at each individual scale, the transport phenomena, numerical methods, and solvers have been developed and utilized at different levels. However, the long‐standing problem, scale coupling between the pore‐ and Darcy‐scale in porous media, has not been well resolved. In this review, we present an overview and classification of the current multi‐scale models, aiming to understand small‐scale flow and solute transport processes when/where needed in a larger system. This review begins with a brief introduction of the pore‐ and Darcy‐scale theories. Two groups of multi‐scale models that are state‐of‐the‐art, based on the Darcy–Brinkman–Stokes equation and the domain decomposition method, respectively, are explained in the context of research progress in model theory, numerical algorithms, and applications. Future research perspectives and challenges are also discussed from both modeling and application points of view. This review is expected to provide a fundamental understanding of flow and solute transport in porous media and concept of developing multi‐scale models to bridge the gaps between processes in adjacent scales. This article is categorized under: Science of Water > Water Quality Science of Water > Methods Science of Water > Hydrological Processes

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Section: Introductionsupporting

confidence: 60%

Section: Application Of the Multi‐scale Modelmentioning

confidence: 99%

Recent progress in multi‐scale modeling and simulation of flow and solute transport in porous media

et al. 2021

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“…A prerequisite for predicting solute transport is the ability to predict the routing of the pathways across complex pore systems, also known as streamline routing. Despite numerous attempts, streamline routing has not been resolved analytically for complex pore structures (Hull and Koslow 1986;Bruderer and Bernabé 2001;Mehmani and Tchelepi 2017), and it remains to be seen whether or not an analytical prediction is feasible. We reiterate the challenge by demonstrating the complexity of streamline routing through a very regular structure.…”

Section: Streamline Routingmentioning

confidence: 99%

The Complexity of Porous Media Flow Characterized in a Microfluidic Model Based on Confocal Laser Scanning Microscopy and Micro-PIV

et al. 2020

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In this study, the complexity of a steady-state flow through porous media is revealed using confocal laser scanning microscopy (CLSM). Micro-particle image velocimetry (micro-PIV) is applied to construct movies of colloidal particles. The calculated velocity vector fields from images are further utilized to obtain laminar flow streamlines. Fluid flow through a single straight channel is used to confirm that quantitative CLSM measurements can be conducted. Next, the coupling between the flow in a channel and the movement within an intersecting dead-end region is studied. Quantitative CLSM measurements confirm the numerically determined coupling parameter from earlier work of the authors. The fluid flow complexity is demonstrated using a porous medium consisting of a regular grid of pores in contact with a flowing fluid channel. The porous media structure was further used as the simulation domain for numerical modeling. Both the simulation, based on solving Stokes equations, and the experimental data show presence of non-trivial streamline trajectories across the pore structures. In view of the results, we argue that the hydrodynamic mixing is a combination of non-trivial streamline routing and Brownian motion by pore-scale diffusion. The results provide insight into challenges in upscaling hydrodynamic dispersion from pore scale to representative elementary volume (REV) scale. Furthermore, the successful quantitative validation of CLSM-based data from a microfluidic model fed by an electrical syringe pump provided a valuable benchmark for qualitative validation of computer simulation results. Graphic Abstract

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“…However, other research fields where multi-phase fluid flow occurs in multi-scale porous media can benefit from the new method, too. In the context of hydrology, geoscience and petroleum engineering, potential applications are the prediction of microbiologically affected groundwater flow [41,42], geologic carbon storage or sequestration [43,44], and the recovery of oil, dry natural gas, or shale gas from tight gas sandstones [14,45], carbonates [14,45] and shale formations [13], respectively. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Homogenized Lattice Boltzmann Model for Simulating Multi-Phase Flows in Heterogeneous Porous Media

Lautenschlaeger,

Weinmiller,

Kellers

et al. 2022

Preprint

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A new homogenization approach for the simulation of multi-phase flows in heterogeneous porous media is presented. It is based on the lattice Boltzmann method and combines the grayscale with the multi-component Shan-Chen method. Thus, it mimics fluid-fluid and solid-fluid interactions also within pores that are smaller than the numerical discretization. The model is successfully tested for a broad variety of single-and two-phase flow problems. Additionally, its application to multi-scale and multi-phase flow problems in porous media is demonstrated using the electrolyte filling process of realistic 3D lithium-ion battery electrode microstructures as an example. The new method shows advantages over comparable methods from literature. The interfacial tension and wetting conditions are independent and not affected by the homogenization. Moreover, all physical properties studied here are continuous even across interfaces of porous media. The method is consistent with the original multi-component Shan-Chen method. It is accurate, efficient, easy to implement, and can be applied to many research fields, especially where multi-phase fluid flow occurs in heterogeneous and multi-scale porous media.

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Multiscale computation of pore-scale fluid dynamics: Single-phase flow

Cited by 27 publications

References 31 publications

Recent progress in multi‐scale modeling and simulation of flow and solute transport in porous media

Recent progress in multi‐scale modeling and simulation of flow and solute transport in porous media

The Complexity of Porous Media Flow Characterized in a Microfluidic Model Based on Confocal Laser Scanning Microscopy and Micro-PIV

Homogenized Lattice Boltzmann Model for Simulating Multi-Phase Flows in Heterogeneous Porous Media

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