The invention relates to a method of densification by chemical gas infiltration of porous annular substrates (18), the method comprising at least the following steps: providing a plurality of unit modules (10) comprising a support plate (14) on which is formed as a stack of substrates, the support plate comprising a central gas inlet opening (14a) communicating with an internal volume (17) formed by the central passages (18a) of the stacked substrates and gas discharge openings (14b ) distributed angularly around the central opening, and a cylinder (16) forming thermal mass arranged around the stack of substrate having a first end (16a) integral with the support plate and a second end (16b) free, forming stacks of unit modules in the enclosure (34) of a densification furnace, and injecting into the stacks of unit modules a gas phase comprising a gaseous precursor of a matrix material at d lay out within the porosity of the substrates.
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