Optimizing the resource extraction and limiting the environmental constraint motivate to accurately characterize reservoirs. The extraction of resources induces volume change of the reservoir causing displacements in the surrounding medium up to the surface. The resulting surface deformation is usually significant enough to be measurable by geodetic instruments (GPS, satellites, tiltmeters, strainmeters). However, the data needs to be associated to a reservoir model using an inverse scheme to allow the estimation of physical properties of the reservoir. Complete geodetic data including InSAR, GPS, tilt, strain and gravimetric data are uncommon for conventional, unconventional or mining exploitations. In this study, we work on the one site that gathers a wide range of geodetic data: the salt exploitation of Vauvert, France, operated by KemOne. Our approach aims at estimating the volume changes of the cavities created by the extraction combining all the available geodetic data. To do so, we minimize a global functional including weighting factors for each data type. The weighting factors are optimally estimated for our study and can be adapted depending on the issue. Hence, an optimal distribution of data can be suggested for a specific reservoir characterization.