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Homogenization of two-phase fluid flow in porous media via volume averaging

Jie Chen, Shuyu Sun, Xiaoping Wang
2019 Journal of Computational and Applied Mathematics  
A technique of local volume averaging is employed to obtain general equations which depict mass and momentum transport of incompressible two-phase flow in porous media.  ...  Starting from coupled Navier-Stokes-Cahn-Hilliard equations for incompressible two-phase fluid flow, the averaging is performed without oversimplifying either the porous medium or the fluid mechanical  ...  averaging process for incompressible two-phase fluid flow in porous media.  ... 
doi:10.1016/ fatcat:vnxtuu22uzebnldxpevoraihlu

Introduction [chapter]

Henk Huinink
2016 Fluids in Porous Media Transport and phase changes  
As a pipe is an idealized pore shape, knowledge of pipe flow helps to understand transport in porous media. Single phase flow in porous media is discussed in chapter 6.  ...  Via this law the Fluids in Porous Media 1-9 permeability of a medium is discussed and interpreted with simple models based on pipe flow. The importance of the pore size for the flow is underlined.  ... 
doi:10.1088/978-1-6817-4297-7ch1 fatcat:6ldx2s6vufcifix3w5nft7bamu

Page 4676 of Mathematical Reviews Vol. , Issue 2003f [page]

2003 Mathematical Reviews  
and capillary pressures for two-phase flows in fractured media.  ...  The average velocity of the generalized solutions is calculated and evaluated in two limiting regimes of flow.  ... 

On the Budget Terms of the Double Averaged Turbulent Stress Transport Equations in Porous Media

Kazuhiko Suga, Yusuke Kuwata
2014 Procedia Engineering  
To provide information for modeling turbulent flows in porous media, LES (large eddy simulation) of fully developed flows in porous media is performed.  ...  Using the statistical data by the LES, the behaviors of the budget terms of the double averaged turbulent stress transport equations are investigated carefully for modeling those transport equations.  ...  Masayuki Kaneda for his contribution to coding programs used in this study. A part of this study was financially supported by the research grant (No. 24360073) of the JSPS Japan.  ... 
doi:10.1016/j.proeng.2014.06.302 fatcat:w4c6a33qefdunjtuz7ycr5wh44

Dynamic effects in capillary pressure relationships for two-phase flow in porous media: Experiments and numerical analyses

Diganta Bhusan Das, Mahsanam Mirzaei
2012 AIChE Journal  
Well defined experiments and numerical analyses are conducted to determine the importance of dynamic effect in capillary pressure relationships for two-phase flow in porous media.  ...  These are then used to determine the dynamic effects, indicated by a dynamic coefficient () in the porous domains which establishes the speed at which flow equilibrium (qS w /qt ¼ 0) is reached. s is found  ...  for two-phase flow in porous media.''  ... 
doi:10.1002/aic.13777 fatcat:xa5kvvakpbec3otrm74cmyjl5i

A sharp-interface interpretation of a continuous density model for homogenization of gravity-driven flow in porous media

Daniel M. Anderson, Richard M. McLaughlin, Cass T. Miller
2010 Physica D : Non-linear phenomena  
We examine homogenization methods applied to sharp-interface and diffuse-interface models for gravity-driven flow in heterogeneous porous media.  ...  We connect all four of these models via homogenization theory and sharp-interface limits.  ...  The work of CTM was supported by the National Institute of Environmental Health Sciences grant P42 ES05948.  ... 
doi:10.1016/j.physd.2010.06.009 fatcat:fgmkkp7h7nanhfxkdbx4s4cvou

Design of maximum permeability material structures

James K. Guest, Jean H. Prévost
2007 Computer Methods in Applied Mechanics and Engineering  
This paper extends recent advances in the topology optimization of fluid flows to the design of periodic, porous material microstructures.  ...  Operating in a characteristic base cell of the material, the goal is to determine the layout of solid and fluid phases that will yield maximum permeability and prescribed flow symmetries in the bulk material  ...  Fluid homogenization theory was developed for fluid flow through periodic media by Sanchez-Palencia [19] in the context of periodic media, and soon after by Rubinstein and Torquato [20] in the context  ... 
doi:10.1016/j.cma.2006.08.006 fatcat:tbxd2q6ojzakhcso56p5pwkbum

Transition in the Flow of Power-Law Fluids through Isotropic Porous Media

F. Zami-Pierre, R. de Loubens, M. Quintard, Y. Davit
2016 Physical Review Letters  
This is an author-deposited version published in : Eprints ID : 16021 To link to this article :  ...  OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible.  ...  [35] ), we finally obtain In this Letter, we used computational fluid dynamics to study nonlinear effects in the flow of PLCO fluids through isotropic homogeneous porous media-the impact of anisotropies  ... 
doi:10.1103/physrevlett.117.074502 pmid:27563969 fatcat:djlk6rjsszaojn7uqbzaloaoyq

Volume-averaged macroscopic equation for fluid flow in moving porous media

Liang Wang, Lian-Ping Wang, Zhaoli Guo, Jianchun Mi
2015 International Journal of Heat and Mass Transfer  
For these two models, the time derivative and the nonlinear convective terms of fluid velocity are neglected in the momentum equation.  ...  Darcy's law and the Brinkman equation are two main models used for creeping fluid flows inside moving permeable particles.  ...  Acknowledgements This work is financially supported by the National Natural Science Foundation of China under Grant Nos. 51125024 and 51390494, and by the Fundamental Research Funds for the Central Universities  ... 
doi:10.1016/j.ijheatmasstransfer.2014.11.056 fatcat:cdx2r6qi55amzmflsdjqyauwqy

Anomalous Dispersion in Pore-Scale Simulations of Two-Phase Flow

Dimetre Triadis, Fei Jiang, Diogo Bolster
2018 Transport in Porous Media  
We investigate anomalous dispersion in steady-state two-phase flow though a random, artificial porous domain.  ...  A natural distribution of trapped wetting-phase fluid was obtained via two-phase lattice Boltzmann drainage simulations.  ...  We would also like to express thanks for financial support via NSF Grants EAR-1351625, EAR-1446236 and CBET-1803989, as well as a JSPS Grant-in-Aid for Young Scientists (16K18331).  ... 
doi:10.1007/s11242-018-1155-6 fatcat:4kyufzgokvajxgieb3ou3j2ufm

Non-isothermal Transport of Multi-phase Fluids in Porous Media. The Entropy Production

Signe Kjelstrup, Dick Bedeaux, Alex Hansen, Bjørn Hafskjold, Olav Galteland
2018 Frontiers in Physics  
The transport of two-phase flow of immiscible components is used to give a first illustration of the equations.  ...  We derive the entropy production for transport of multi-phase fluids in a non-deformable, porous medium exposed to differences in pressure, temperature, and chemical potentials.  ...  FUNDING The authors are grateful to the Research Council of Norway through its Centers of Excellence funding scheme, project number 262644, PoreLab.  ... 
doi:10.3389/fphy.2018.00126 fatcat:ig63jpu7hffrpcd5jaqd3f3y3m

A New Multicontinuum Model for Advection-Diffusion Process of Single-Phase Nonlinear Flow in a Multiscale Fractured Porous Media

Richard Owusu, Adu Sakyi, Peter Amoako-Yirenkyi, Isaac Kwame Dontwi, Oluwole D. Makinde
2022 Journal of Applied Mathematics  
An averaged macroscopic equation representing pressure distribution in a three-phase multiscale fractured porous medium was developed, consisting of the matrix and a 2-scale fractured network of length-scales  ...  The findings of this study will provide researchers a reliable tool to study fractured porous media and can also help for better understanding of the dynamics of flow in fractured reservoirs.  ...  Advection and Diffusion for Non-Darcian Flow in a Three-Phase Multiscale Fractured Porous Media System Consider a single-phase fluid transport in naturally fractured porous domain D, comprising of the  ... 
doi:10.1155/2022/5731988 fatcat:ue33ic3ksncr5oy6yh7q7x6mvi

Capillary rise in vuggy media [article]

Hasan J. Khan, Ayaz Mehmani, Maša Prodanović, David DiCarlo, Dayeed J. Khan
2020 arXiv   pre-print
To understand the change in capillary height in the presence of a vug, a volume-of-fluid two-phase numerical simulation is performed in a parallel set of connected and disconnected tubes.  ...  The results can be summarized as follows: disconnected vugs result in higher capillary rise compared to non-vuggy porous media.  ...  Summary In sum, our results suggest that for a carbonate rock in the presence of a disconnected vug, the fluid (contaminant) penetrates deeper in the porous media compared to a homogeneous porous media.The  ... 
arXiv:2006.15034v1 fatcat:rumtj45re5eb5nevlxflyr3hmq

Porous-layer model for laminar liquid flow in rough microchannels

S. Izquierdo, J. R. Valdés, M. Martínez, M. Accolti, S. Woudberg, P. Asinari, M. Miana, J. P. Du Plessis
2010 Microfluidics and Nanofluidics  
With this outlook a one-dimensional model is proposed, which is built by splitting the channel in two regions: porous and fluid.  ...  It is expected that, due to the fundamental derivation of the method, it can be extended to model advanced fluid flow effects in microchannels.  ...  Acknowledgements This work was partially funded by the FP6 EU KRISTAL project (Network of Excellence; Ref. 515837) and by the Spanish Government under project LUBRITECH, DPI2008-0648.  ... 
doi:10.1007/s10404-010-0625-0 fatcat:3walzq3mgvbmbckwfbrmyoqc2m

Exactly realizable bounds on the trapping constant and permeability of porous media

D. C. Pham, S. Torquato
2005 Journal of Applied Physics  
Two important effective properties of fluid-saturated porous media that have been extensively studied are the trapping constant ␥ and scalar fluid permeability k.  ...  Sandstone, granular media, bone, wood, and cell membranes are just a few examples of porous media that abound in Nature and in synthetic situations.  ...  ACKNOWLEDGMENTS The work was completed during the visit of one of the authors (D. C. P.) to the Materials Institute, Princeton University, as a Fulbright Senior Scholar. Another author (S.  ... 
doi:10.1063/1.1829379 fatcat:qqadpbjnlvcrjm3scywldot5ja
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