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Abstract The Darcy law is valid for low Reynolds number where only the viscous forceis responsible for pressure loss in the porous media. At higher Reynhold'sNumber, due to Drag forces, inertial forces and Turbulency, the pressure losswould be higher than that Darcy law predicts; therefore at this flow Regimesthe Darcy law is no longer valid. There are some Empirical and theoreticalmodels, proposed for predicting flow equation at higher Reynolds number. Inthis paper we will introduce these models and some new models for non-Darcycoefficient (Forchheimer coefficient) will be presented.
Introduction In 1856, Darcy discovered his famous law for fluid flow through porousmedia. Since that time Darcy law is used widely in petroleum engineering. Darcyequation is a powerful equation to describe fluid flow through porous media; itis simple to use and rather accurate for many cases interested in petroleumengineering, but there exist some cases which Darcy law fails to be applied,for instance for gas flow and flow near the well bore where flow occurs athigher Reynolds number. In these cases the predicted pressure drop by Darcyequation is lower than real ones indicating that there will be other parameterscontributing to pressure drop in porous media along with viscous force athigher Reynolds number. These parameters are neglected by Darcy equation;therefore other equations are required to take in to account these parametersso they can be applied for describing fluid flow at higher Reynolds number.
In this paper we are to investigate fluid flow through porous media at highReynolds number. We will define the concept of Viscous Dissipation. In viscousdissipation section, all the known parameters contributing to pressure losswill be considered. From the concept of viscous dissipation, it will be foundthat why Darcy law fails to describe fluid flow through porous media at highReynolds number.
The theoretical Kozeny-Carman equation and empirical Forchheimer andBrinkman equations will be investigated as extensions to Darcy equation.
Some new models for non-Darcy coefficient (Forchheimer coefficient) will bepresented and they will be compared with other models available inliteratures.
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