I really worry more about the method of closure more than anything. Anybody ever seen the smoke coming off of a welding electrode? Can't be good for any media. First if you decide on any media such as DVD or CD then definitely use vacuum seal bags with some kind of internal frame/box to keep the vacuum on the bag from warping the media (if it needs to spin when read)
Otherwise make sure the welder understands that ~no~ gas from the welding process can enter the protected enclosure. Filling the enclosure with nitrogen (good) or helium (best) would be advisable.
Welded??? How the heck are the future pic viewers supposed to open the vessel??? What if they whip out the old cutting torch and slice it right through the middle with nice big lumps of slag dropping on your oh so carefully preserved media??
Think of a better way of enclosing such as a vacuum sealed box inside a sealed 30 gallon drum inside a sealed 55 gallon drum sealed in concrete.