Station and method for supplying a flammable fluid fuel

A station for supplying a flammable fluid fuel, the station comprising a first cryogenic tank for storing flammable fuel in the form of a cryogenic liquid, a second cryogenic tank for storing an inert gas stored in the form of a cryogenic liquid, a cooling circuit comprising a first heat exchanger and a second heat exchanger, each in a heat-exchange relationship with the first tank, the cooling circuit comprising at least one upstream end connected to the second cryogenic tank for drawing cryogenic fluid from the second cryogenic tank in order to give up frigories from the fluid of the second cryogenic tank to the first tank, the station comprising a circuit for withdrawing fluid derived from the second tank, wherein the cooling circuit comprises a first pipe and a second pipe, each comprising an upstream end connected to the second tank, the first pipe and the second pipe being connected to the first heat exchanger and the second heat exchanger, respectively, housed in the first tank, the first heat exchanger and the second heat exchanger being respectively situated in the upper and lower parts of the first tank.