Abstract: A method and system for predicting dynamic fluid flow in a water-wet porous medium by one or more central processing units (CPUs), comprising generating a set of possible movements of displacement fronts within a set of pore elements within a pore-network representation of a porous media or rough-walled fracture sample, based on the set of possible movements, generating pressure fields for each of the set of possible movements, based on the pressure fields, determining a highest displacement potential for the set of possible movements, and performing a displacement based on the highest displacement potential.

Abstract: A method and system for predicting dynamic two-phase fluid flow in a mixed-wet porous medium by one or more central processing units (CPUs), comprising determining a set of possible movements of main terminal menisci (MTMs) within a pore network model (PNM) of a porous media sample having a set of pore elements, generating pressure fields for each of the set of movements of MTMs, based on at least an inlet capillary pressure or a set of flow injection boundary conditions, based on the pressure fields, determining a set of local capillary pressures and a set of arc meniscus (AM) locations, generating a set of fluid displacements potentials based on at least the set of local capillary pressures and a set of threshold capillary pressures, and determining a highest positive fluid displacement potential from the set of fluid displacements.