Conc has certainly had grass in the u/c. In the late 70s I was at Fairford seeing a friend who was CO there. He was most peeved. The Conc pilot under training had misjudged a turn onto the runway and put the nosewheel into the grass. The CO showed me a curving trench about 30' long and about 2' deep. He was p****d off because of all the crap that had been deposited on the runway and wondered at the professionalism of the training captain who allowed the take-off to continue.