An average streamwise channel velocity is proposed as a more accurate
representation of the actual intrapore velocity than the intrinsic pha
se average velocity. A relationship is derived between the average str
eamwise channel velocity and the interstitial velocity and superficial
velocity. New definitions of tortuosity and areosity as second-order
tensors are proposed for porous media in general. Novel names, semanti
cally in line with the respective physical meanings, ate proposed for
these quantities. The definitions produce results which conform with s
everal other published results and are applicable to anisotropic media
in general.