There are several tutorials for ink bleed. Here. A simple way is to duplicate the ink layer, put it beneath the original ink layer, Blur the bottom ink layer(The bleed)try different amounts untill you get the "Spread" you want. Change the blend modes of both layers to multiply or Gimp equivalent. You also might want to blur the top ink slightly. and smear the edges slightly. That should get you in the ballpark of the effect you are looking for !