Pneumatic tire curing method using a curing membrane comprising three drainage areas arranged in increasing order of depth

A method for curing a tire, during which a curing membrane is deployed against a green tire in order to bring a contact surface of said curing membrane to bear against an interior surface of said green tire and thus press an exterior surface of said green tire against the walls of a curing mold so as to obtain a tire which has a crown region forming an annular tread around a central axis, and, on each side of an equatorial plane normal to said central axis, a bead region for securing said tire to a rim, and a sidewall region connecting the crown region to the bead region, the method further comprising the contact surface of the curing membrane is provided with a drainage structure which comprises air-discharge path channels cut into the contact surface to a depth equal to or greater than 0.05 mm, wherein said drainage structure is subdivided, at least on one side of the equatorial plane, into at least three drainage regions, these being a first drainage region which corresponds to a first annular portion of the contact surface, centered on the central axis, along which said contact surface will hug the crown region, a second drainage region which corresponds to a second annular portion of the contact surface, centered on the central axis, along which said contact surface will hug the sidewall region and the channels of which communicate with the channels of the first drainage region, and a third drainage region which corresponds to a third annular portion of the contact surface, centered on the central axis, along which said contact surface will hug the bead region and the channels of which communicate with the channels of the second drainage region, and a mean depth of the channels of the third drainage region, which is equal to a quotient of a volume occupied by the channels present in said drainage region by a surface area covered by these same channels in said drainage region is strictly greater than a mean depth of the channels of the second drainage region, said mean depth of the channels of the second drainage region being itself strictly greater than a mean depth of the channels of the first drainage region, and wherein all the channels of the first drainage region are a first family of channels formed by a repeating hexagonal pattern that extend continuously along a full length of the first drainage region including to the equatorial plane, wherein at least 50% of the channels of the first drainage region have a constant depth which is comprised between 0.05 mm and 0.25 mm.