They dont actually get rid of the mud. Where the pitch becomes badly worn and water retention cause muddy areas these are filled with sand and heavily rollered for a more sound base. If the ground is very badly damaged the grounds staff may replace that area with new turf and roller that to help it hold.
Rugby
A Rugby Ground normally refers to the playing area, changing rooms and any associated ground area. The playing area is called a rugby pitch
rugby pitch
Its termed a "pitch"natural grass or grass sand composite. The game cannot be played on a hard surface such as dried mud or on synthetic grass
Stadium or on a rugby pitch. The pitch will refer directly to the playing area
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Oblong
Rugby is played on a leveled grass field known as a pitch.
Rugby boots need studs in order to offer the player grip on grass and mud, which can be slippy.
The Twickenham rugby pitch is 125m x 70m. The stadium has a capacity of 82,000 and has 150 executive suits.
Being a rugby player - I find that most of the mud is on the opposing plays shirt after a good ruck has ended
Yes due to the nature of tackling etc it needed a softer suface to land on. However, when the gave was in its raw fashion around 1823 the pitch was more or less all mud and the game resembled murder ball.