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={S. 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… CONTINUE READING