The model of waterflooding of three-layer oil reservoir saturated with oil having non-Newtonian properties is presented. The paper deals with numerical model of oil displacement by water with the law of movement of oil from the limiting gradient shift. It is modeled a flow of non-Newtonian fluid in a porous medium in variables 'velocity - saturation'. There is a comparison with a case when a limiting gradient of oil shear is neglected. It is shown that the final oil recovery factor will be thus essentially predatory
