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Inertial Effects on Fluid Flow through Disordered Porous Media

U. M. S. Costa·J. S. Andrade Jr.·H. A. Makse·H. E. Stanley
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Abstract

We study the fluid flow through disordered porous media by numerically solving the complete set of the Navier-Stokes equations in a two dimensional lattice with a spatially random distribution of solid obstacles (plaquettes). We simulate viscous and non-viscous flow through these idealized pore spaces to determine the origin of the deviations from the classical Darcy's law behavior. Due to the non-linear contribution of inertia to the transport of momentum at the pore scale, we observe a typical departure from Darcy's law at sufficiently high Reynolds numbers. Moreover, we show that the classical Forchheimer equation provides a valid phenomenological model to correlate the variations of the friction factor of the porous media over a wide range of Reynolds conditions.

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U. M. S. Costa, J. S. Andrade Jr., H. A. Makse, H. E. Stanley. 1998-09-15. Inertial Effects on Fluid Flow through Disordered Porous Media. https://doi.org/10.1016/s0378-4371(98)00624-4

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