Application of a control-volume method for solving the problems of two-phase filtration in “speed-saturation” variables

An approach to solving the problems of motion of a two-phase liquid in porous media is considered in the framework of a control-volume method. A mathematical formulation of such a problem and an algorithm of its numerical implementation in speed-saturation variables are discussed. The feasibility of this approach is illustrated by some model examples describing the replacement of oil by water from uniform and non-uniform reservoirs.