Dispersion modeling in pore networks: A comparison of common pore-scale models and alternative approaches

Sadeghi, Maryam; Agnaou, Mehrez; Barralet, J.E.; Gostick, Jeff T.

doi:10.1016/j.jconhyd.2019.103578

Cited by 23 publications

(18 citation statements)

References 52 publications

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“…The accuracy of each scheme was compared to a reference solution generated by FEM, and best agreement was found when a power-law approach was applied to both the advection diffusion and migration terms. This is consistent with our previous work on advection diffusion [32]. These model equations were implemented within the open-source package OpenPNM [11] based on the Gummel algorithm with relaxation.…”

Section: Discussionsupporting

confidence: 75%

“…The source of the deviations between the PNM and FEM simulations resulting from the use of the upwind scheme were discussed in detail in a recent work [32]. They were attributed to the fact that in the presence of moderate to important advective effects (i.e., Péclet numbers equal or larger than unity), significant local concentration gradients appear, and the assumption of linear concentration profiles between pores loses accuracy.…”

Section: Analysis Ofmentioning

confidence: 99%

“…The same logic ap-plies to many other transport problems such as pure diffusion or dispersion in porous media. PNM, as an alternative pore-scale modeling approach, requires substantially lower computing resources (compared to pore-scale DNS) and have been successfully applied to study physics such as diffusion reaction [13] and dispersion [32] in porous media. However, the use of PNM to study transport of charged species is in its infancy.…”

Section: Introductionmentioning

confidence: 99%

“…When additional transport mechanisms such as advection come into play, this assumption remains valid at low Péclet numbers (Péclet numbers smaller than unity) where the Péclet is the ratio of advective to diffusive contributions. The validity of the perfect mixing assumption was extended to pore-scale Péclet numbers up to 257 by Mehmani and Balhoff [22] and by Yang et al [40] in disordered sphere packs and up to 10 by Sadeghi et al [32] in cubic networks of random pore sizes. Thus, the mixedcell method can be used for modeling transport phenomena in disordered porous structures where moderate deviations from pure diffusion exist.…”

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confidence: 99%

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Modeling transport of charged species in pore networks: Solution of the Nernst–Planck equations coupled with fluid flow and charge conservation equations

Agnaou

Sadeghi

Tranter

et al. 2020

Computers & Geosciences

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A pore network modeling (PNM) framework for the simulation of transport of charged species, such as ions, in porous media is presented. It includes the Nernst-Planck (NP) equations for each charged species in the electrolytic solution in addition to a charge conservation equation which relates the species concentration to each other. Moreover, momentum and mass conservation equations are adopted and there solution allows for the calculation of the advective contribution to the transport in the NP equations.The proposed framework is developed by first deriving the numerical model equations (NMEs) corresponding to the partial differential equations (PDEs) based on several different time and space discretization schemes, which are compared to assess solutions accuracy. The derivation also considers various charge conservation scenarios, which also have pros and cons in terms of speed and accuracy. Ion transport problems in arbitrary pore networks were considered and solved using both PNM and finite element method (FEM) solvers. Comparisons showed an average deviation, in terms of ions concentration, between PNM and FEM below 5% with the PNM simulations being over 10 4 times faster than the FEM ones for a medium including about 10 4 pores. The improved accuracy is achieved by utilizing more accurate discretization schemes for both the advective and migrative terms, adopted from the CFD literature. The NMEs were implemented within the open-source package OpenPNM based on the iterative Gummel algorithm with relaxation.This work presents a comprehensive approach to modeling charged species transport suitable for a wide range of applications from electrochemical devices to nanoparticle movement in the subsurface. (Jeff Gostick) 1 Model development, code implementation, manuscript drafting. 2 Model development, code implementation. 3 Code implementation, revising the manuscript. 4 Study design, code implementation.

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Section: Discussionsupporting

confidence: 75%

Section: Analysis Ofmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Modeling transport of charged species in pore networks: Solution of the Nernst–Planck equations coupled with fluid flow and charge conservation equations

Agnaou

Sadeghi

Tranter

et al. 2020

Computers & Geosciences

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“…The work by Bijeljic stands out because of the use of pore-network models. A general feature of many porenetwork models is the implicit assumption of full mixing at the nodes which is only valid at low flow rates (Mehmani et al 2014;Sadeghi et al 2020). Bijeljic accounts for mixing at the nodes by placing particles in pores through either an area-weighted distribution or pressure-weighted distribution.…”

Section: Dispersion In Porous Mediamentioning

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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Pore‐network modelling of combined molecular diffusion and gravity drainage mechanisms in a porous matrix block: The competitive role of driving forces

2022

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A large part of the world's hydrocarbon resources are located in fractured reservoirs, and mass transfer phenomena play a crucial role in enhanced hydrocarbon recovery from these reservoirs. Pore-network models have been widely used to study kinetic and pore-scale micro-mechanisms. Molecular diffusion involves mass transfer and liquid-vapour phase change and can be simulated by a modified invasion percolation model. Despite the existence of separate pore-scale studies on molecular diffusion and gravity drainage, no articles have been published that evaluate the combined effect of both mechanisms. This study investigates the competitive roles of the two phenomena and

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Dispersion modeling in pore networks: A comparison of common pore-scale models and alternative approaches

Cited by 23 publications

References 52 publications

Modeling transport of charged species in pore networks: Solution of the Nernst–Planck equations coupled with fluid flow and charge conservation equations

Modeling transport of charged species in pore networks: Solution of the Nernst–Planck equations coupled with fluid flow and charge conservation equations

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

Pore‐network modelling of combined molecular diffusion and gravity drainage mechanisms in a porous matrix block: The competitive role of driving forces

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