Quadrature solution for foam flow in porous media

The Ikoku and Ramey foam flow model is modified to account for the real gas behavior encountered in petroleum reservoirs, a practical and accurate quadrature solution is obtained for four types of boundary conditions, and a sensitivity analysis with respect to the power-law fluid parameter is carried out. It is shown that the quadrature method conveniently handles all the boundary conditions and the highly nonlinear foam flow equation.