This video shows some images of the build, along with video of the grow media, and sprayers.
The results have been great. Two months later the plants are flourishing.
The pumps kick on for thirty seconds once every hour to wet-down the roots, and gravel. The rest of the time the gravel drip dries, and the inside of the bucket stays above 95% humidity. This way the roots receive plenty of moisture and oxygen.
The water is recirculated back to the reservoir after dripping into the drain system.
The system uses between 1-3 gallons of water per day depending on the temperature and plant size.