Introduction.- Corrosion types and elemental effects of Ni-based and FeCrAl alloys.- Corrosion characteristics of candidate alloys.- Corrosion mechanisms of alloys in supercritical water.- Corrosion behavior of alloys in supercritical water oxidation processes.- Corrosion control methods in supercritical water oxidation processes.- Prospects and challenges of candidate alloys used in sub- and supercritical water environment.