Abstract: A cyclic process is provided for reversible adsorption of emerging pollutants or micropollutants for depolluting a contaminated aqueous medium. The process is carried out without oxygen-containing gas, and without the provision of radical initiators, and includes a plurality of cycles, each cycle having the following steps: a. the adsorption of the emerging pollutants and micropollutants contained in the aqueous medium onto an activated carbon felt electrode by bringing the contaminated aqueous medium into contact with the activated carbon felt electrode making it possible to adsorb the emerging pollutants and micropollutants contained in the aqueous medium onto the activated carbon felt electrode; and b.