Landslides pose a significant threat to human safety and the well-being of com-
munities, making them one of the most challenging natural phenomena. Their potential for
catastrophic consequences, both in terms of human lives and economic impact, is a major con-
cern. Additionally, their inherent unpredictability adds to the complexity of managing the risks
associated with landslides. It is crucial to continuously monitor areas susceptible to landslides.
In situ detection systems like piezometers and strain gauges play a vital role in accurately mon-
itoring internal pressures and surface movements in the targeted areas. Simultaneously, satel-
lite surveys contribute by offering detailed topographic and elevation data for the study area.
However, relying solely on empirical monitoring is insufficient for ensuring effective manage-
ment of hazardous situations, especially in terms of preventive measures. This study provides
advanced simulations of mudflows and fast landslides using particle depth-averaged methods,
specifically employing the Material Point Method adapted for shallow water (Depth Averaged
Material Point Method). The numerical method has been parallelized and validated through
benchmark tests and real-world cases. Furthermore, the investigation extends to coupling the
depth-averaged formulation with a three-dimensional one in order to have a detailed description
of the impact phase of the sliding material on barriers and membranes. The multidimensional
approach and its validation on real cases provide a robust foundation for a more profound and
accurate understanding of the behavior of mudflows and fast landslides
