You can eliminate the mud by adding a settling tank for the well water. Water flows from the well to the settling tank, where it sets awhile as the mud settles out. Frome there it goes to general distribution. Put a small plug at the bottom of the settling tank for flushing the mud out periodically and a vent or a valve at the top of the tank to drain off gases that are in the well water.

What gases? Glad you asked!

Mostly natural gas that is in the water. This is especially important for people with a water well who live in an area where fracking is done. w/o the settling tank you may find that your faucet, while open, can sustain a significant flame.