I assume that you are aiming to cover the whole area on which your polytunnel will eventually sit, Eat your greens?
If you cover the area with weighted down landscape membrane, the rushes will not grow through it, and after about 12m or so, everything underneath it will be dead. My thought is that if rushes grow there, that area is likely, in normal weather conditions, to be a bit boggy, and still would be even under the membrane. Would this affect your tunnel at all?