If the whole pond was full of the muddiest water, I could have it almost clear in about a week.
If I spread about, oh I would say, 6 bails of hay spread on the surface it will clear right up.
Another thing is that as soon as I get an area that drains into the pond finished I will mulch it and seed it in spring, that will prevent much mud from going into the pond during rains.
No mater what I do the water will have a spring plankton algae bloom and the water will remain cloudy somewhat until I get the shoreline plants and lilies growing. Cloudiness from waves is a real issue until the spike rush etc gets established. Without shoreline plants the water in a new pond of this size will rock back and forth like water in a bathtub when the wind blows.. I mean 6-10 inches of water rise and fall as the water rocks back and forth. And then there's the waves breaking on shore. That is a wind powered mud making machine. Lilies and spike rush totally prevent this and the water will get very clear and stay that way at no cost. The rocking ceases and no wave ever touches shore.