Depends what you have, I have several of the cat's eye chalk ink pads, I use those because they dry almost instantly. I tap them directly onto the edge of the paper. Sometimes I use a different ink if I don't have the right color in the cat's eye, then I use a little piece of sponge to tap it onto the edge of the paper. Hope that helps!
I don't tear my edges, but to add some distress or shading to the edges of my papers, I use Distress Inks applied with a sponge finger dauber. I have one for each color family. In really tight spaces, I use a tissue wrapped around my finger. It works. Have fun with your inks.