This study presents a method to determine the onset of inertial effects at
the microscopic level, to distinguish between Darcy and non-Darcy flow regi
ons within porous media at the pore level, and to quantify the effects of r
etained polymer on gas mobility. Capillary pressure and polymer flood exper
iments were conducted using Elgin and Okesa sandstone samples. The pore-siz
e distributions were used to study the high-velocity flow effects. A modifi
ed capillary-orifice model was used to determine the non-Darcy flow effects
at the pore level, with and without residual polymer.
The overall flow behavior at any flow rate may be described as the average
of all contributions from the Darcy and the non-Darcy terms in all pores. R
esults of this study suggest that the conventional Reynolds number may lead
to incorrect analysis of flow behavior when evaluating non-Darcy flow effe
cts in porous media. The Forchheimer number, defined as the ratio of inerti
al forces to viscous forces, is found more adequate for analyzing microscop
ic flow behavior in porous media.