JJZ4MR --
Too bad its petroleum based and left so long on the floor.. A really good Cleaner combined with Steam and Extraction would be the least damaging process to try first..
I would see about pulling up the carpet on that side, see if the padding is ruined and replace, clean all the StaBil off the metal floor wherever it wandered in a week, with a Degreaser, replace the padding, try to get the right product to remove the StaBil from the carpet, steam and extract for a long time, that carpeted area..
In my shop, I have Meguiars APC+, Meguiars Super Degreaser, Meguiars Odor Eliminator, and a couple of other items from CarPro, along with the Steamer and Extractor, that would all be used to remove the oil and the odor..
Whatever you end up doing, be very mindful of the color of the carpeting even if its black, so that you dont start taking the color of the carpeting away, which will now cause another big issue.. Please be careful...
Dan F