I've read the opposite. I was thinking Diaphram pumps are a good choice for mud.
I hope I got this right....


"Often referred to as a “mud hog” or “mud pump,” the diaphragm pump is the one to choose when the water is so thick or dirty that the user cannot detect what may be lurking beneath the surface.

Diaphragm pumps are capable of handling sticks, stones, mud, trash and other debris up to 2 in., or a bit larger than a golf ball. Basically anything that can fit through the opening will be able to go through. Useful in wastewater management applications, it is able to pump muddy water, sludge and other thick liquids that have the ability to flow."