Methods for treating a subterranean formation can include: providing a treatment fluid that comprises: an aqueous base fluid; a hydrofluoric acid source selected from the group consisting of hydrofluoric acid, a hydrofluoric acid generating compound, and a combination thereof; and a biodegradable chelating agent comprising one of the following selected from the group consisting of: glutamic acid diacetic acid, a glutamic acid diacetic acid salt, a derivative thereof, and a combination thereof. The treatment fluid may then be introduced into at least a portion of a subterranean formation.