You can get some very permanent water-proof inks. Platinum Carbon black is my favourite.

Platinum Carbon Black is a wonderful ink. It seems to work very well in cheap fountain pens with flow issues. It’s highly resistant to coffee spills and looks ok on mediocre paper. Only drawback is cleaning it up; it cleans up like used motor oil.

De Atramentis, too, has a range of permanent inks which are quite fast-drying, too.

Happy customer for years.