A self-organisation method has been applied to predict the two-dimensional morphology around an obstruction in a rectangular channel. This method overcomes the need to model the formation of dynamic equilibrium morphologies over time, which can lead to the amplification of small errors in each time step. Instead sediment is moved around in the system until a stable morphology is found, based on a number of self-organisation rules. This method will be of benefit to areas of coastal research such as the prediction of equilibrium formations behind a detached breakwater, and areas of engineering where equilibrium scour patterns are important, such as the design of bridge piers. The self-organisation method is able to predict similar morphologies to those measured in a laboratory study, and can obtain equilibrium morphologies more efficiently and with better accuracy than a comparable more traditional morphological model.