This is actually quite common when the nostrils come into contact with water. This happens to surfers almost every time they go out. The salt water is so much like human blood that, unless it has little critters or lots of sand in it, it won't irritate your nasal passages. However, it will put on a really cool show when you bend over to tie your shoes or pick something up in front of someone you don't want to be embarassed in front of. The key to prevention in your case would be a good purge mask.