Displacement of oil with water is a process that is often encountered in the exploitation of oil fields. In these natural conditions, this process takes place in the layers that work in the water drive regime (with pressure), also it is created in the layers where water is injected to keep the energy of the layer constant, or to raise it. Therefore, the problem of displacing oil with water is of great practical importance. The main objective of this paper is to present a link between the physical context of the filtration of the fluid in the porous medium in the case of displacement of oil with water and its mathematical solution in the determination of the hydrodynamic parameters and in the determination of the time needed for the water-oil contact to move from its initial position to another position in the layer, as well as the time of full exploitation of the layer.
Keywords: Exploitation, Pressure, compressibility, equation, pay zone, radial flow, reservoir, time
