# Flow in porous media I: A theoretical derivation of Darcy's law

@article{Whitaker1986FlowIP, title={Flow in porous media I: A theoretical derivation of Darcy's law}, author={Stephen Whitaker}, journal={Transport in Porous Media}, year={1986}, volume={1}, pages={3-25} }

Stokes flow through a rigid porous medium is analyzed in terms of the method of volume averaging. The traditional averaging procedure leads to an equation of motion and a continuity equation expressed in terms of the volume-averaged pressure and velocity. The equation of motion contains integrals involving spatial deviations of the pressure and velocity, the Brinkman correction, and other lower-order terms. The analysis clearly indicates why the Brinkman correction should not be used to…

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