Generally, these vessels are just left alone. "Exploded" is really not the proper way to describe this. My guess is that it is a large, distended vessel, that is abnormally prominant. Usually there is nothing that can be done to make it go away. Even with surgery, there is a chance that a new vessel will grow in there. Talk to your surgeon to discuss your options. I've never seen a case where surgery was performed for this and I've been doing this about 15 years.
MJK MD
Thank you for your answer--my eye doctor said the same thing that there is really nothing that can make it go away except for surgery but that can remove it for a short time like you stated above and can come back. Is there any chance that it may go away over time by applying warm compresses or ice? I read on the web that some people have used warm and/or cold compresses and it helped lessen the vessel but since it may already be prominent I don't know that it would even help.