This is deliverable 4.3 – Physical models of relevant processes – of the H2020 FET-Open project NEWTON-g (GA No 801221). The work described here was carried out in the framework of WP4 (Data analysis). D4.3 is focused on process-based physical models for retrieving the expected amplitude, space pattern and, to some extent, time evolution of gravity changes associated to the most common volcanic processes. We include magma transport by dike propagation, mass input into/output from reservoirs and magma flow in conduits. We extend available solutions to more general source shapes and include magma compressibility. We quantify both the direct gravity changes, caused by mass redistribution, and the gravity changes due to deformation.