An Integral Approach for Discretizing the Reservoir Flow Equations

Summary An approach for discretizing the integral form of the flow equations in porous media is proposed. The method has the advantage of providing the correct block volume calculations and steady-state flow in curvilinear coordinates. The harmonic mean for permeability is also obtained from the discretization. The equations are developed for a general orthogonal curvilinear grid system in terms of the components of the metric tensor.