When your sister/cousin is giving you a blow job in an outhouse, but to get her head at the correct level you have her stand in the toilet, stomping down the turds as she blows you.
This is what happens when a person repeatedly kicks/beats someone who has already been knocked to the ground such that they are no longer to do more than "lie there and take it".
This term differs from other state variants of the term "mud stomp" in that it is strictly about violence as opposed to sexual activity.
In a vicious act of vengeance, the man brutally beat his childhood bully and left him motionless on the streets of Atlanta after delivering a good old-fashioned Georgia mud stomp.