Scaling miscible displacement in fractured porous media using dimensionless groups

Scaling of miscible and immiscible displacement in porous media using inspectorial analysis leads us to better understanding of the process. Less has been listed about fractured reservoirs especially with the fracture flow conditions taken into consideration. We derived dimensionless groups using Inspectional Analysis for the miscible displacement in fractured porous media when there is flow through fracture. The solvent–solute transfer between fracture and adjunct matrix is only due to diffusion/flux transfer. Based on the dimensionless groups derived we proposed a new dimensionless group for better defining the effectiveness of the process. The newly proposed group, Matrix-Fracture Diffusion Number (NM-FD), will be critical in evaluating the performance of enhanced oil recovery, CO2 sequestration and contaminant transport problems. Laboratory scale experiments were performed for validation and physical interpretation of the (NM-FD).