Spontaneous liquid transport has a wide variety of applications, including fog harvesting , microfluidics, and water-oil separation. Understanding of the droplet movement dynamics on structured surfaces is essential for enhancing the transport performance. In this work, we develop a theoretical model describing the movement process of droplets on surfaces with prescribed wedge shapes. Agreement is observed between the predictions from the model and experimental results. Through theoretical analysis and quantitative comparison between the transport performance of different wedge shapes, we identify the factors affecting the movement process and provide guidelines for wedge shape optimisation for spontaneous droplet transport.