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Applicability of the Forchheimer Equation for Non-Darcy Flow in Porous Media

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/aic.690170309openalex-snapshot
Velocity and turbulence measurements of air flow through a packed bed
inferredcites →https://doi.org/10.1002/cjce.5450750605openalex-snapshot
Ecoulement de fluides newtoniens et non newtoniens à travers des lits fixes stratifiés
inferredcites →https://doi.org/10.1007/978-94-009-6175-3_4openalex-snapshot
A New Look at Porous Media Fluid Mechanics — Darcy to Turbulent
inferredcites →https://doi.org/10.1007/bf00141261openalex-snapshot
The Forchheimer equation: A theoretical development
inferredcites →https://doi.org/10.1007/bf00189382openalex-snapshot
Measurements of pore scale flows within and exiting ceramic foams
inferredcites →https://doi.org/10.1007/bf00192152openalex-snapshot
High velocity flow in porous media
inferredcites →https://doi.org/10.1007/bf01063962openalex-snapshot
On the derivation of the Forchheimer equation by means of the averaging theorem
inferredcites →https://doi.org/10.1016/0009-2509(65)80034-3openalex-snapshot
Fluid flow in packed beds
inferredcites →https://doi.org/10.1016/0009-2509(66)85038-8openalex-snapshot
Transition to turbulence for flow through a dumped bed of spheres
inferredcites →https://doi.org/10.1016/0009-2509(71)86081-5openalex-snapshot
Visual studies of flow in a regular array of spheres
inferredcites →https://doi.org/10.1016/0009-2509(89)80031-4openalex-snapshot
A new model for determining mean structure parameters of fixed beds from pressure drop measurements: application to beds packed with parallelepipedal particles
inferredcites →https://doi.org/10.1016/0009-2509(89)85194-2openalex-snapshot
The use of micro-electrodes in the study of the flow regimes in a packed bed reactor with single phase liquid flow
inferredcites →https://doi.org/10.1016/0009-2509(94)00495-dopenalex-snapshot
Pressure drop in non-Newtonian purely viscous fluid flow through porous media
inferredcites →https://doi.org/10.1016/0009-2509(94)80025-1openalex-snapshot
Hydrodynamics of liquid flow in packed beds: an experimental study using electrochemical shear rate sensors
inferredcites →https://doi.org/10.1016/0300-9467(90)80034-aopenalex-snapshot
Mass transfer and energy aspects for forced flow through packed beds of long cylindrical particles
inferredcites →https://doi.org/10.1016/b978-0-08-042843-7.x5000-4openalex-snapshot
Transport Phenomena in Porous Media
inferredcites →https://doi.org/10.1016/j.advwatres.2004.02.021openalex-snapshot
On the non-linear behavior of a laminar single-phase flow through two and three-dimensional porous media
inferredcites →https://doi.org/10.1016/s0009-2509(00)00025-7openalex-snapshot
Limits of applicability of capillary model for pressure drop correlation
inferredcites →https://doi.org/10.1016/s0009-2509(00)00207-4openalex-snapshot
Flow of non-Newtonian fluids in fixed and fluidised beds
inferredcites →https://doi.org/10.1016/s0009-2509(00)00533-9openalex-snapshot
The influence of confining walls on the pressure drop in packed beds
inferredcites →https://doi.org/10.1016/s0009-2509(96)00499-xopenalex-snapshot
Transport phenomena in multi-particle systems—I. Limits of applicability of capillary model in high voidage beds-application to fixed beds of fibers and fluidized beds of spheres
inferredcites →https://doi.org/10.1016/s0009-2509(96)00500-3openalex-snapshot
Transport phenomena in multi-particle systems—II. Proposed new model based on flow around submerged objects for sphere and fiber beds-transition between the capillary and particulate representations
inferredcites →https://doi.org/10.1016/s0009-2509(97)00118-8openalex-snapshot
Experimental validation of a model allowing pressure gradient determination for non-Newtonian purely viscous fluid-flow through packed beds
inferredcites →https://doi.org/10.1016/s0009-2509(98)00175-4openalex-snapshot
Experimental characterisation of flow regimes in various porous media—I: Limit of laminar flow regime
inferredcites →https://doi.org/10.1016/s0009-2509(98)80003-1openalex-snapshot
Experimental characterization of flow regimes in various porous media—II: Transition to turbulent regime
inferredcites →https://doi.org/10.1016/s0009-2509(99)00018-4openalex-snapshot
Non-Darcy flow through anisotropic porous media
inferredcites →https://doi.org/10.1016/s0009-2509(99)00556-4openalex-snapshot
Experimental characterization of flow regimes in various porous media — III: limit of Darcy's or creeping flow regime for Newtonian and purely viscous non-Newtonian fluids
inferredcites →https://doi.org/10.1016/s0377-0257(02)00066-6openalex-snapshot
A methodology for the derivation of non-Darcian models for the flow of generalized Newtonian fluids in porous media
inferredcites →https://doi.org/10.1016/s0377-0257(98)00210-9openalex-snapshot
Non-linear flows in porous media
inferredcites →https://doi.org/10.1017/s0022112091001258openalex-snapshot
The effect of weak inertia on flow through a porous medium
inferredcites →https://doi.org/10.1017/s0022112095003430openalex-snapshot
Generalization of the Forchheimer-extended Darcy flow model to the tensor premeability case via a variational principle
inferredcites →https://doi.org/10.1021/i260017a019openalex-snapshot
Capillary-Orifice Model for High-Speed Flow through Porous Media
inferredcites →https://doi.org/10.1023/a:1006533931383openalex-snapshot
Derivation of the Forchheimer Law Via Matched Asymptotic Expansions
inferredcites →https://doi.org/10.1023/a:1006536424162openalex-snapshot
Generalized Forchheimer Equation for Two-Phase Flow Based on Hybrid Mixture Theory
inferredcites →https://doi.org/10.1023/a:1006636605498openalex-snapshot
Resolution of a Paradox Involving Viscous Dissipation and Nonlinear Drag in a Porous Medium
inferredcites →https://doi.org/10.1023/a:1010671012287openalex-snapshot
Predicting the Onset of Inertial Effects in Sandstone Rocks
inferredcites →https://doi.org/10.1023/a:1010749114251openalex-snapshot
Derivation of the Forchheimer Law via Homogenization
inferredcites →https://doi.org/10.1029/tr039i004p00702openalex-snapshot
On the theoretical derivation of Darcy and Forchheimer formulas
inferredcites →https://doi.org/10.1029/wr018i004p01049openalex-snapshot
Nonlinear equation governing flow in a saturated porous medium
inferredcites →https://doi.org/10.1061/jyceaj.0001502openalex-snapshot
Resistance to Laminar Flow Through Porous Media
inferredcites →https://doi.org/10.1080/00221680209499893openalex-snapshot
Darcy and post-Darcy flows within different sands
inferredcites →https://doi.org/10.1115/1.1413246openalex-snapshot
Alternative Models of Turbulence in a Porous Medium, and Related Matters
inferredcites →https://doi.org/10.1115/1.1637928openalex-snapshot
Flow Through a Finite Packed Bed of Spheres: A Note on the Limit of Applicability of the Forchheimer-Type Equation
inferredcites →https://doi.org/10.1115/1.2819301openalex-snapshot
Two Types of Nonlinear Pressure-Drop Versus Flow-Rate Relation Observed for Saturated Porous Media
inferredcites →https://doi.org/10.1115/1.2910229openalex-snapshot
Flow Through Porous Media of Packed Spheres Saturated With Water
inferredcites →https://doi.org/10.1115/1.3242658openalex-snapshot
Resistance to the Flow of Fluids Through Simple and Complex Porous Media Whose Matrices Are Composed of Randomly Packed Spheres
inferredcites →https://doi.org/10.1201/b19031openalex-snapshot
The handbook of fluid dynamics
inferredcites →https://doi.org/10.1243/pime_proc_1945_153_020_02openalex-snapshot
On the Resistance Coefficient–Reynolds Number Relationship for Fluid Flow through a Bed of Granular Material
inferredcites →https://doi.org/10.2118/0805-0072-jptopenalex-snapshot
Discussion of SPE 89325, "Beyond Beta Factors: A Complete Model for Darcy, Forchheimer, and Trans-Forchheimer Flow in Porous Media"
inferredcites →https://doi.org/10.2118/0805-0073-jptopenalex-snapshot
Reply to Discussion of "Beyond Beta Factors: A Complete Model for Darcy, Forchheimer, and Trans-Forchheimer Flow in Porous Media"
inferredcites →https://doi.org/10.2118/10979-msopenalex-snapshot
Flow Mechanism of Forchheimer's Cubic Equation in High-Velocity Radial Gas Flow Through Porous Media
inferredcites →https://doi.org/10.2118/20709-msopenalex-snapshot
The Effects of Non-Darcy Flow in Propped Hydraulic Fractures
inferredcites →https://doi.org/10.2118/4706-paopenalex-snapshot
Estimating the Coefficient of Inertial Resistance in Fluid Flow Through Porous Media
inferredcites →https://doi.org/10.2118/49224-msopenalex-snapshot
Non-Darcy Flow Experiments in Anisotropic Porous Media
inferredcites →https://doi.org/10.2118/54630-msopenalex-snapshot
Non-Darcy and Multiphase Flow in Propped Fractures: Case Studies Illustrate the Dramatic Effect on Well Productivity
inferredcites →https://doi.org/10.2118/70015-msopenalex-snapshot
Literature Review on Correlations of the Non-Darcy Coefficient
inferredcites →https://doi.org/10.2118/89325-msopenalex-snapshot
Beyond Beta Factors: A Complete Model for Darcy, Forchheimer, and Trans-Forchheimer Flow in Porous Media
inferredcites →https://doi.org/10.2118/90406-msopenalex-snapshot
Multiphase Non-Darcy Pressure Drop in Hydraulic Fracturing
inferredcites →https://doi.org/10.2118/90864-msopenalex-snapshot
An Investigation of Non-Darcy Flow Effects on Hydraulic Fractured Oil and Gas Well Performance
inferredcites →https://doi.org/10.2134/agronj1961.00021962005300040028xopenalex-snapshot
Physics of Flow through Porous Media
inferredcites →https://doi.org/10.2136/sssaj1970.03615995003400060003xopenalex-snapshot
Flow Through Porous Media
inferredcites →https://doi.org/10.2136/sssaj1973.03615995003700040004xopenalex-snapshot
Dynamics of Fluids in Porous Media

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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References
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References and Bibliography
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General optimization framework of fractured horizontal wells in high-sulfur gas reservoirs using response surface methodology
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Gas well deliverability: backpressure, Forchheimer, and numerical models
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Pore-Scale Behavior of Darcy Flow in Static and Dynamic Porous Media
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inferred← citeshttps://doi.org/10.1142/s0218348x16300014openalex-snapshot
A REVIEW ON NON-DARCY FLOW — FORCHHEIMER EQUATION, HYDRAULIC RADIUS MODEL, FRACTAL MODEL AND EXPERIMENT
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CFD Analysis of the Primary Cooling System for the Small Modular Natural Circulation Lead Cooled Fast Reactor SNRLFR-100
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Experimental Study on Nonlinear Seepage Characteristics and Particle Size Gradation Effect of Fractured Sandstones
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Heat and Mass Transfer within Unsteady Nanofluid Movement in the Presence of Sustained Solar Radiation
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inferred← citeshttps://doi.org/10.12783/dtcse/msam2020/34234openalex-snapshot
Analysis of Nonlinear Seepage Characteristics of High Water Cut Preferential Channel
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Contaminant intrusion in water distribution systems : advanced modelling approaches
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Numerical Analysis of Fluid Mixing Characteristics in Ballast Water Sterilization Treatment System according to Membrane Structure
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Modeling Gas Transport in Shale Reservoir – Conservation Laws Revisited
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A Predictive Pore-Scale Model for Non-Darcy Flow in Porous Media
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inferred← citeshttps://doi.org/10.2118/146689-paopenalex-snapshot
Lattice Boltzmann Simulation of Non-Darcy Flow In Stochastically Generated 2D Porous Media Geometries
inferred← citeshttps://doi.org/10.2118/176714-msopenalex-snapshot
Multi-Stage Fractured Horizontal Well Numerical Simulation and Its Application in Tight Shale Reservoirs
inferred← citeshttps://doi.org/10.2118/180920-paopenalex-snapshot
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inferred← citeshttps://doi.org/10.2118/184497-stuopenalex-snapshot
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inferred← citeshttps://doi.org/10.2118/217119-msopenalex-snapshot
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inferred← citeshttps://doi.org/10.2118/222049-msopenalex-snapshot
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Lattice Boltzmann Simulation of Fluid Flow and Heat Transfer through Partially Filled Porous Media
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Wellbore annulus water hammer pressure prediction based on transient multi-phase flow characteristics
inferred← citeshttps://doi.org/10.31390/gradschool_dissertations.1000openalex-snapshot
Image-Based Pore-Scale Modeling of Inertial Flow in Porous Media and Propped Fractures
inferred← citeshttps://doi.org/10.31390/gradschool_dissertations.995openalex-snapshot
Numerical studies of flow in porous media using an unstructured approach
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Pore-scale lattice Boltzmann simulations of inertial flows in realistic porous media: a first principle analysis of the Forchheimer relationship
inferred← citeshttps://doi.org/10.31390/gradschool_theses.404openalex-snapshot
Application of Computational Fluid Dynamics to Near-Wellbore Modeling of a Gas Well
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The use of the inverse problem methodology in analysis of fluid flow through granular beds with non-uniform grain sizes
inferred← citeshttps://doi.org/10.3390/jmse13071373openalex-snapshot
Characterization of the Internal and External Flow Field of a Semi-Submersible Aquaculture Platform with Multiple Net Cage Configuration
inferred← citeshttps://doi.org/10.3390/pr11072029openalex-snapshot
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inferred← citeshttps://doi.org/10.3390/w13141967openalex-snapshot
A Unified View of Nonlinear Resistance Formulas for Seepage Flow in Coarse Granular Media
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A Unified General Resistance Formula for Uniform Coarse Porous Media
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Acoustic Optimization of a Muffler through the Sherpa Algorithm
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Post-Oxidation Phenomena as a Thermal Management Strategy for Automotive After-Treatment Systems: Assessment by Means of 3D-CFD Virtual Developmen t
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Experimental and Numerical Study on the Effect of the Rain Infiltration with the Increase of Surface Temperature
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Contaminant intrusion in water distribution systems: An ingress model
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Stimulation dynamique des réservoirs d'hydrocarbures
inferred← citeshttps://doi.org/10.7763/ijet.2019.v11.1173openalex-snapshot
Gravity-Fed Column Configuration for Acid Mine Drainage Experiment
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Analytical and Experimental Study of Gas Flow Regime in the Matrix and Fractures of Shale Gas Reservoirs
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