Installation for the treatment by membrane permeation of a feed gas stream comprising at least methane and carbon dioxide, comprising: - a compressor making it possible to compress the feed gas stream, - a first membrane separation unit suitable receiving the gas stream from the compressor and providing a first permeate and a first retentate, - a second membrane separation unit capable of receiving the first retentate and providing a second permeate and a second retentate, - a third separation unit by membrane able to receive the first permeate and to provide a third permeate and a third retentate, - a fourth membrane separation unit capable of receiving the third retentate and to provide a fourth permeate and a fourth retentate, - at least a first means measuring the pressure of the feed gas flow at the inlet of the first membrane separation unit, and - at least one means for adjusting the number of membranes combined and connected to the incoming gas flow, in at least one of the membrane separation units as a function of the measurement recorded by the first measurement means.
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