A simplified dual-porosity model for two-phase flow, in Computational Methods in Water Resources IX, Vol. 2: Mathematical Modeling in homogenization of compositional flow 15

A model for two-phase, incompressible, immiscible fluid flow in a highly fractured porous medium is derived as a simplification of a much more de-tailed dual-porosity model. This simplified model has a nonlinear matrix-fracture interaction, and it is more general than similar existing “transfer function ” models. It is computationally less complex than the detailed model, and simulation results are presented which assess any loss in accu-racy. It is shown that the new model approximates capillary effects quite well, and better than similar existing models. 1