Methods for cementing a subterranean well comprise installing a casing string into a borehole, wherein the casing string comprises a metal having a coefficient of thermal expansion (CTE) lower than about 6×10−6/° C. A cement sheath is then placed between the exterior surface of the casing string and the formation wall. The low-CTE metal may reduce casing shrinkage when the well temperature falls during stimulation treatments, cyclic steam injection or when the well temperature reaches equilibrium at the top of a long casing string.