The invention relates to an equipment and a system for processing a gaseous mixture by permeation. The equipment of the invention includes m*n separation modules Pij, n and n being natural integers higher than or equal to 2, i being a natural integer from 1 to m, and j is a natural interger from 1 to n. Each of the separation modules Pij includes a permeate inlet Epij, the permeate inlet Ep11 of the separation module P11 corresponding to the F inlet for supplying the gaseous mixture into said equipment, a permeate outlet Spij and a retentate outlet Srij. Furthermore, the permeate outlet Spij is connected to the permeate inlet Epi+1j of the separation module Pi+1j, and the retentate outlet Srij is connected to the permeate inlet Epij+1 of the separation module Pij+1. The equipment does not use any intermediate recycling.