The MURAY research project is the brainchild of Professor Paolo Strolin of the University of Naples “Federico II,” to apply the experimental technique of muon radiography to Vesuvius.The Neapolitan volcano, represents a huge challenge both in terms of the measurement itself, and in terms of safety, as a possible eruption would put the entire Vesuvian and Neapolitan area, both densely populated, at serious risk. The purpose of the measurement is to take an X-ray of the summit part of the volcano, so as to provide a direct image of its interior and thus allow volcanologists at the National Institute of Geophysics and Volcanology (INGV) to model possible eruptive dynamics. In 2012, the MURAVES project, of which INGV is the lead partner, was awarded funding by the Ministry of University and Research on the evaluation of the MURAY and MURAY2 research projects that preceded it and demonstrated the feasibility in technological and physical terms of the project’s success. Currently, the MURAVES measurement apparatus, developed by the collaboration of the Universities of Naples and Florence and the respective sections of the National Institute of Nuclear Physics (INFN), as well as INGV, is acquiring data and will continue to do so for years to come. The result that will be obtained will be unprecedented, given the size of the volcanic edifice, and will have significant scientific significance for the ability to use the muon radiography technique.