In volcanic hazard assessment, it is crucial to be able to detect, as early as possible, shallow magma emplacement as well as magma migration towards the Earth's surface. Then it becomes important to be able to foresee the future eruption location, its amplitude and its potential impact on the volcanic edifice stability. In this manuscript, I present my research concerning magma migration spatio-temporal tracking by satellite radar remote sensing as well as development of models taking into account the mechanical coupling between a fluid, the magma, and a solid, the encasing medium. These models aim at providing a way to jointly interpret various observations, among which deformation data, in order to obtain predictive information of magma progression towards the surface.
