In certain adsorption processes, several different adsorbents may be u
sed, each more or less specialized for a particular task of selectivel
y taking up certain components. The different adsorbents may be packed
in different columns, or, alternatively, in the same column as superp
osed layers. In the latter case, they necessarily experience the same
conditions in terms of throughput, pressure and temperature. The dynam
ic behaviour, and therefore the optimal design and operation of such b
eds, Is different from that of single adsorbent beds. The passage of c
oncentration waves from one layer to the other and the flow reversal i
nduce particular refraction, dispersion and interference phenomena. We
propose a method of analysis and representation of these phenomena, b
ased on pseudo-characteristics defined as lines propagating constant v
alues of particular concentrations. The pseudo-characteristics do not
in general coincide with the classical lines generated by the method o
f characteristics within the framework of equilibrium models, except i
n some ideal situations (quasi-equilibrium without dispersion and with
out pressure and velocity changes). These lines can be generated by co
mputer simulations using non-ideal complex models, and offer a conveni
ent and compact way to analyse the start-up and convergence towards th
e cyclic regime, to represent the essential features of the concentrat
ion profiles at all times, to adjust the operating times and to optimi
ze the layer thickness. This analysis is illustrated using the example
of hydrogen purification from a four-component mixture, using a two-b
ed two-adsorbent six-step PSA process.