Flow regimes in miscible displacements in heterogeneous correlated random fields

Fluid flow within a porous medium is governed by both the fluid mechanics and the rock heterogeneity level and type. Here, we model permeability heterogeneity as a random correlated field. The process is a first contact miscible viscous displacement at unit and adverse mobility ratios. We investigate the various flow regimes that are possible and discuss their significance. We point out the importance of the effective aspect ratio, which is related to vertical equilibrium, in determining the global flow regime.