Modeling deformation data related to groundwater pumping is challenging, because it is a function of the subsurface geology, which is typically poorly known. In this study, we combined InSAR data, which is used to estimate deformation , with AEM data, which is used to estimate geology. We combined these two datasets in a joint inversion framework, solving for the subsurface geology and hydrologic properties of the geologic layers. This joint inversion resulted in a model that successfully predicted land deformation on our validation dataset.