Landslides are a phenomenon that has often been studied and analyzed mainly due to their frequency and their dangerous potential. The word landslide covers a broad category of ground movements that can be caused both by nature and by human mistakes. The type of movements that are the focus of this thesis are mud flows and debris flows, two of the fastest types of ground movements, whose speed and amount of material often lead to a change in the topography of their bed. This modification of the bed upon which the movement occurs has not only effects on possible future events but even on the landslide itself.