Pore-scale modelling to minimize empirical uncertainties in transport equations

As computer methods and the underlying numerical procedures improve dramatically with time the demands on transport equations to reflect the real physical conditions are also on the increase. Empiricisms in transport equations cannot always satisfactorily describe the extremal physical conditions enforced onto them by numerical strains and the present work is aimed at minimizing the need for empirical expressions in favor of simple but physically plausible models of the various processes taking place in porous media. Pore-scale modeling is used for closure of volume averaged transport equations. The model addresses the interstitial geometry and the physics of the particular phenomena to provide closure for the general volume averaged equations.