What you're describing are almost certainly what's known as "tide marks".
These occur when the surface tension in the water ""pulls" pigments in your wash to the edges of the area covered by your wash. When it dries, this presents as a ring or a series of concentric rings resembling a topographic map if it dries unevenly through temperature variations etc.
This can often be exacerbated by the water containing dissolved minerals, (eg. tap water in "hard water" areas) or other impurities which can accumulate around the edges in the same way as the water evaporates. It's also more prominent on flat surfaces, as opposed to gloss.
You can try adding a little more dish soap (enough so that the wash mix "spreads flat" and doesn't bead up), and using distilled/demineralised water to thin your wash.
This problem can also occur when using oil washes. However, in this case one can minimise the effect by brushing clean thinner over the entire area to "pre-wet" the surface before beginning to apply the wash. This helps the edges blend.