A method for preparing a polygraphene membrane includes adding graphite and sodium nitrate into sulfuric acid to form a first mixture; adding potassium permanganate solution into the first mixture to form a second mixture; adding hydrogen peroxide solution to the second mixture to form a mixture including soluble manganese ions; filtering the mixture including soluble manganese ions to form an aqueous suspension; centrifuging the aqueous suspension; performing ultrasonication of the suspension to obtain graphene oxide sheets; acylating the graphene oxide sheets to prepare an acylated graphene oxide sheet; and polymerizing the acylated graphene oxide sheets to prepare polygraphene.