每年出版 12 期
ISSN 打印: 1091-028X
ISSN 在线: 1934-0508
Indexed in
Flow and Solute Transport in Saturated Porous Media: 1. The Continuum Hypothesis
摘要
The continuum hypothesis provides one alternative to dealing with transport phenomena in porous media. If adapted correctly, the continuum approach may be easier than dealing with the system at the microscopic level. However, to adopt the continuum approach to phenomena occurring in porous media, certain conditions and length scale constraints need to be satisfied. Failing to satisfy these conditions may restrict the use of this approach, and other sophisticated methods need to be devised. This article provides an overview of the conditions and length scale constraints needed to be able to adopt the continuum hypothesis. Two types of length scale constraints may be identified. The first type arises when establishing the conditions and requirements for proper upscaling; they are thus essential and hence have to be completely satisfied. They have been collected in four constraints. The second type represents those derived during mathematical manipulations and order of magnitude analysis to neglect higher-order terms. It will be shown that most of the second type of length scale constraints are automatically satisfied once the essential constraints are satisfied.
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Abbas Ibrahim A., El-Amin M. F., Salama Amgad, Combined effect of thermal dispersion and radiation on free convection in a fluid saturated, optically thick porous medium, Forschung im Ingenieurwesen, 72, 3, 2008. Crossref
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Salama Amgad, El-Amin M. F., Abbas Ibrahim, Sun Shuyu, On the viscous dissipation modeling of thermal fluid flow in a porous medium, Archive of Applied Mechanics, 81, 12, 2011. Crossref
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Costanza-Robinson Molly S., Estabrook Benjamin D., Fouhey David F., Representative elementary volume estimation for porosity, moisture saturation, and air-water interfacial areas in unsaturated porous media: Data quality implications, Water Resources Research, 47, 7, 2011. Crossref
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Abbas Ibrahim A., El-Amin M.F., Salama Amgad, Effect of thermal dispersion on free convection in a fluid saturated porous medium, International Journal of Heat and Fluid Flow, 30, 2, 2009. Crossref
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salama Amgad, Abbas Ibrahim A., El-Amin M.F., Sun Shuyu, Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media, International Journal of Thermal Sciences, 64, 2013. Crossref
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Sun Shuyu, Salama Amgad, El-Amin M.F., An Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Media, Procedia Computer Science, 9, 2012. Crossref
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Bao Kai, Salama Amgad, Sun Shuyu, Upscaling of Permeability Field of Fractured Rock System: Numerical Examples, Journal of Applied Mathematics, 2012, 2012. Crossref
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Sun Shuyu, Salama Amgad, El Amin M.F., Matrix-oriented implementation for the numerical solution of the partial differential equations governing flows and transport in porous media, Computers & Fluids, 68, 2012. Crossref
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El-Amin M.F., Salama Amgad, Sun Shuyu, Numerical and dimensional investigation of two-phase countercurrent imbibition in porous media, Journal of Computational and Applied Mathematics, 242, 2013. Crossref
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Salama Amgad, Li Wang, Sun Shuyu, Finite volume approximation of the three-dimensional flow equation in axisymmetric, heterogeneous porous media based on local analytical solution, Journal of Hydrology, 501, 2013. Crossref
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Warning Alexander, Verboven Pieter, Nicolaï Bart, van Dalen Gerard, Datta Ashim K., Computation of mass transport properties of apple and rice from X-ray microtomography images, Innovative Food Science & Emerging Technologies, 24, 2014. Crossref
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Zhong Hua, Wang Xiao-Ping, Salama Amgad, Sun Shuyu, Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes, Computers & Mathematics with Applications, 68, 12, 2014. Crossref
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Salama Amgad, Sun Shuyu, Wheeler Mary F., Solving global problem by considering multitude of local problems: Application to fluid flow in anisotropic porous media using the multipoint flux approximation, Journal of Computational and Applied Mathematics, 267, 2014. Crossref
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Salama Amgad, Negara Ardiansyah, El Amin Mohamed, Sun Shuyu, Numerical investigation of nanoparticles transport in anisotropic porous media, Journal of Contaminant Hydrology, 181, 2015. Crossref
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Salama Amgad, Sun Shuyu, Bao Kai, An Experimenting Field Approach for the Numerical Solution of Multiphase Flow in Porous Media, Groundwater, 54, 2, 2016. Crossref
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Negara Ardiansyah, Salama Amgad, Sun Shuyu, Multiphase flow simulation with gravity effect in anisotropic porous media using multipoint flux approximation, Computers & Fluids, 114, 2015. Crossref
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Wu Yuanqing, Salama Amgad, Sun Shuyu, Parallel simulation of wormhole propagation with the Darcy–Brinkman–Forchheimer framework, Computers and Geotechnics, 69, 2015. Crossref
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Zhang Tao, Salama Amgad, Sun Shuyu, El-Amin Mohamed F., Pore network modeling of drainage process in patterned porous media: A quasi-static study, Journal of Computational Science, 9, 2015. Crossref
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Bao Kai, Salama Amgad, Sun Shuyu, Numerical Investigation on the Effects of a Precursor Wetting Film on the Displacement of Two Immiscible Phases Along a Channel, Flow, Turbulence and Combustion, 96, 3, 2016. Crossref
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Ferrage Eric, Hubert Fabien, Tertre Emmanuel, Delville Alfred, Michot Laurent J., Levitz Pierre, Modeling the arrangement of particles in natural swelling-clay porous media using three-dimensional packing of elliptic disks, Physical Review E, 91, 6, 2015. Crossref
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Perović Nevena, Frisch Jérôme, Salama Amgad, Sun Shuyu, Rank Ernst, Mundani Ralf-Peter, Multi-scale high-performance fluid flow: Simulations through porous media, Advances in Engineering Software, 103, 2017. Crossref
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Salama Amgad, Amin Mohamed F. El, Kumar Kundan, Sun Shuyu, Flow and Transport in Tight and Shale Formations: A Review, Geofluids, 2017, 2017. Crossref
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Salama Amgad, Zoubeik Mohamed, Henni Amr, A multicontinuum approach for the problem of filtration of oily water systems across thin flat membranes: I. The framework, AIChE Journal, 63, 10, 2017. Crossref
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Salama Amgad, Zoubeik Mohamed, Henni Amr, A multicontinuum approach for the problem of filtration of oily-water systems across thin flat membranes: II. Validation and examples, AIChE Journal, 64, 3, 2018. Crossref
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Bao Kai, Salama Amgad, Sun Shuyu, Flow split characterization of two immiscible phases with different wettability scenarios: A numerical investigation using a coupled Cahn–Hilliard and Navier–Stokes system, International Journal of Multiphase Flow, 100, 2018. Crossref
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Zoubeik Mohamed, Ismail Mohamed, Salama Amgad, Henni Amr, New Developments in Membrane Technologies Used in the Treatment of Produced Water: A Review, Arabian Journal for Science and Engineering, 43, 5, 2018. Crossref
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Roubtsova Varvara, Chekired Mohamed, 3D Numerical Simulations of Particle–Water Interaction Using a Virtual Approach, in Advances in Hydroinformatics, 2016. Crossref
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Fan Xiaolin, Salama Amgad, Sun Shuyu, A locally and globally phase-wise mass conservative numerical algorithm for the two-phase immiscible flow problems in porous media, Computers and Geotechnics, 119, 2020. Crossref
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Khuzhayorov Bakhtiyor, Mustofoqulov Jabbor, Ibragimov Gafurjan, Md Ali Fadzilah, Fayziev Bekzodjon, Solute Transport in the Element of Fractured Porous Medium with an Inhomogeneous Porous Block, Symmetry, 12, 6, 2020. Crossref
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Negara Ardiansyah , Salama Amgad , Sun Shuyu , Density-Driven Flow Simulation in Anisotropic Porous Media: Application to CO2 Geological Sequestration, All Days, 2014. Crossref
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Salama Amgad, Velocity Profile Representation for Fully Developed Turbulent Flows in Pipes: A Modified Power Law, Fluids, 6, 10, 2021. Crossref
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Negara Ardiansyah , Salama Amgad , Sun Shuyu , 3-D Numerical Investigation of Subsurface Flow in Anisotropic Porous Media using Multipoint Flux Approximation Method, All Days, 2013. Crossref
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Zoubeik Mohamed, Salama Amgad, Henni Amr, Table Optimization of Operating Conditions for a Superwetting Ultrafiltration ZrO2 Ceramic Membrane, Journal of Environmental Engineering, 146, 4, 2020. Crossref
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Salama Amgad, Investigation of the imbibition/drainage of two immiscible fluids in capillaries with arbitrary axisymmetric cross-sections: a generalized model, Journal of Fluid Mechanics, 947, 2022. Crossref