The results of laboratory studies of the features of processes of flow through a porous medium are given for a physical model of the porous medium obtained by sintering glass beads. The program for manufacturing physical models is described and the results of the efficiency of displacement of vaseline oil by various compositions are presented. Water, mineralized water, micellar solutions, nanofluids, and micellar solutions with addition of nanoparticles were considered as the displacement agents. Based on an analysis of images, curves of variation in the saturation of the model porous medium with vaseline oil in the process of its displacement by various compositions are obtained. The micellar solutions with addition of nanoparticles were shown to be the most effective oil displacement agents in comparison with other presented compositions.