I am also wondering, like other two people who answered your question. Do you mean Floating Liquefied natural Gas, where gas is cleaned, liquefied and stored for shipment. There are a number of them are in use or will be commissioned soon.
If you add more detail to your question I can send you a lot of references.
Biggest offshore gas field in Iran is in Persian Gulf ( Pars filed) which is close to the shore. The best option for in Iran is in bringing gas to shore ( to a deep port) and liquefy it on land, which is much cheaper and safer and less vulnerable in a volatile region.There are a lot of land around you why one should put a refinery on top of a ship.
I am a petroleum engineer and dont have enough information about refinery. But I know that the produced gas or oil needs to refine. So my friend and i want to simulate a simple ship as a oil or gas refinery. By this ship the delivered product is refine during its transportation and the time is saved.
Of course you can put a refinery on top of a the ship (either a new built or a converted ship). The problem is how you store the product. Gas takes a lot of space, hence it is liquefied to take less space. You can store liquefied gas and refined product in the ship's holds, however, there is a limit how on much you can store and you need to transport them to the market. If your refinery is moored, then you need another (special) ship to carry the product, or pipeline to transport it, which defeats your purpose.
If you think you can load the ship with crude and refine it on its way to the market, then you need to think again about where you store the refined product. You can build very big ship, but the largest ship can go through the Suez canal is about 250,000 tons.
Something else you need to remember is to clean and degas the crude before transportation which is generally done in onshore terminals- this is known making crude ready for sale. Crude containing gas is very corrosive. This brings us to this point that the crude which you can start refining is already onshore. There are case where the natural crude is fee from water, sand and gas and can be refined right away.
I have some references on offshore LNG plants which is also known as floating LNG. I can send some relevant references to you if you send me your email address.
I gather you have a chemical engineering background. My background is mechanical, structural and safety. If you tell me a little bit about yourself, perhaps I can suggest a topic which you can use in future. Remember you have 50 year professional life ahead of you.