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The Applicability of Darcy's Law
Soil Science Society of America Journal, 1968Abstract Deviations from Darcian proportionality between flow velocity v and hydraulic gradient i are considered in terms of a gradient‐dependent hydraulic conductivity K ( i
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Journal of Applied Physics, 2003
Classical Darcy’s Law expresses pressure gradient in a porous media as a linear function of the velocity difference between solid and fluid constituents. As such, this constitutive equation is frame dependent. The present article is an attempt to express this law in terms of frame independent quantities.
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Classical Darcy’s Law expresses pressure gradient in a porous media as a linear function of the velocity difference between solid and fluid constituents. As such, this constitutive equation is frame dependent. The present article is an attempt to express this law in terms of frame independent quantities.
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A fractional-order Darcy's law
Physica A: Statistical Mechanics and its Applications, 2007Abstract By using spatial averaging methods, in this work we derive a Darcy's-type law from a fractional Newton's law of viscosity, which is intended to describe shear stress phenomena in non-homogeneous porous media. As a prerequisite towards this end, we derive an extension of the spatial averaging theorem for fractional-order gradients.
J. Alberto Ochoa-Tapia +2 more
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On the closure problem for Darcy's law
Transport in Porous Media, 1992In a previous derivation of Darcy's law, the closure problem was presented in terms of an integro-differential equation for a second-order tensor. In this paper, we show that the closure problem can be transformed to a set of Stokes-like equations and we compare solutions of these equations with experimental data.
Jean Barrere +2 more
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On the differential form of Darcy's law
Journal of Geophysical Research, 1962It is shown that the differential form of Darcy's law cannot be of the form u = − [∇(kP/μ) + pgk/μ] as has been suggested. Instead, the commonly used u = −k/μ (∇P + pg) is correct.
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Darcy's law in saturated kaolinite
Water Resources Research, 1966Data obtained with a new laboratory technique for measuring the hydraulic conductivity of saturated clays show that Darcy's law is obeyed at low gradients in saturated kaolinite over a wide range of porosities. The new technique involves producing arbitrary constant flow rates through a rigidly confined clay sample, using a multispeed syringe pump, and
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Theoretical derivation of Darcy's law
Acta Mechanica, 1977Darcy's law for anisotropic porous media is derived from the Navier-Stokes equation by using a formal averaging procedure. Particular emphasis is placed upon the proof that the permeability tensor is symmetric. In addition, it is shown that there is a one-to-one relationship between the local and macroscopic velocity fields.
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