There is no special procedure for welding inside a propane tank vs repairing a tray on a depropanizer tower. If the space is a permit required confined space, then welding would not be allowed. After the tank is gas free and clean the space may/may not be classified as a permit required or a non permit confined space.
Yes there is a difference. All confined spaces are permit required until the entry supervisor determines the condition of the confined space.
Once the space has been determined not to be a permit required confined space then a hot work permit would be required. The LEL's would have to be 0% and the oxygen between 19.5 and 23% and no other hazards.
All of this should be covered in YOUR company confined space permit procedure and Hot Work procedures. This is done all the time you just need to have the proper safety procedures in place. If there is proper permitting procedures in place, the inside of the tank is gas free, properly clean and there is proper and continuous monitoring of the space there is nothing special about what you would be doing.
Welding on a propane tank with product in it, then you are talking another animal.
You may want to check out API 2015 and 2016 for cleaning of tanks and vessels for inspection and repair. Also
http://www.osha.gov/pls/oshaweb/owadisp.show_document?p_table=standards&p_id=9797