The computational domain is box shaped. The primary variables are the pressure of the wetting phase (water) Pw and the saturation of the non-wetting phase (oil) Sn. The domain is initially saturated with oil (Sn = 1). Gravity is not considered and initial pressure is constante all over the domain (Pw = 200 kPa). Dirichlet condition is defined at the left side of the domain (Sn = 0; Pw = 200 kPa) and Neumann conditions at the remaining boundaries. At the right side of the domain, oil out-flow is equal to 30 g/(m * s) and no-flow condition is defined on the remaining Neumann boundaries. Fluids are flowing from left to right through and around low permeable blocks (rocks cores) and high permeable inter-blocks path (fractures).