There are researchers that have been using mud beds in sumps that are no bigger tan 10% to 20% of the display tank bottom area. However, mud beds are better denitrifiers at shallower depths, but they are really no better than a deep sand bed given the same surface area if the deep sand bed is around 6 inches deep or more. A three to four inch deep sand bed will make some difference but would not supply the total needs for the tank. Water changes would still be necessary. Deep sand beds are always an asset as far as there biological filtration. They are more efficient than live rock, both at nitrification and at denitrification, once established.