As done around here...
Our dry well is, essentially, the cesspool portion of the septic system without the bottom, if you know what I mean. Basically, a concrete cylinder with neither top nor bottom.
It is filled with rock, and your gray water outlet is vented into it. Not for toilet waste, nor, I think, ditchen sink, garbage disposal, etc.
Once filled, it was covered with light tin, then dirt.
My reason was simple: my boss likes to use bleach, which, as we all know, is a fairly powerful antiseptic, and the little guys in the septic tank didn't like it at ALL.
Anyway, so far, so good: the septic field seems to have come back, and she's still alive.