A new model for two-phase flows at high velocities through porous media and fractures

A new model for describing two-phase flow at high velocities in porous media and fractures is presented. It is based on the generalization of the single-phase Forchheimerʹs equation by introducing a function F as a multiplier factor of the superficial velocity during two-phase flow. This function is assumed to depend on the saturation and fluid properties but not on the flow regime (or Reynolds number). The function F can be derived from experiments performed at a given flow rate or from a theoretical model of the relative permeability Kr in the viscous flow regime. The model is presented in terms of Kr for use in petroleum engineering and in terms of Lockhart and Martinelli parameters for use in chemical engineering. It is validated using experimental results obtained at high flow rates of air and water in an artificial rough fracture.