This invention is a control procedure of the fluids inflows coming from an underground formation during a drill. These inflows happen when a drill reaches a permeable area containing a high pressure fluid. The latter will engulf into the well which may cause a catastrophic eruption, if nothing is done. Therefore is it necessary to know as soon as possible the physical nature of the fluids inflows. The proposed method consists in calculating the fluids characteristic through the measure of the pressures and debits of injection and return of the drilling mud.