... These models are mostly used to explain the general behaviour of various geological and physical processes. For instance, detailed studies on problems such as the relation between the ratio of horizontal to vertical displacements and the aspect ratios of magma reservoir (Dieterich and Decker, 1975), the effect of rheological layering on the surface deformations (Trasatti et al., 2003;Manconi et al., 2007;Long and Grosfils, 2009), the initiation and evolution of ring-faults and collapse calderas (Komuro et al., 1984;Saunders, 2001;Walter, 2008;Holohan et al., 2011;Grosfils et al., 2015), propagation of dikes and sills (Dahm, 2000;Mériaux and Lister, 2002;Kühn and Dahm, 2004;Maccaferri et al., 2011), emplacement of radial and circumferential dikes (Chestler and Grosfils, 2013;Grosfils et al., 2015), magma chamber instability and failure (Sartoris et al., 1990;Grosfils, 2007;Hurwitz et al., 2009;Long and Grosfils, 2009;Grosfils et al., 2015), stress transfer and interaction of multiple magma bodies (Albino and Sigmundsson, 2014;Pascal et al., 2014), the link between eruptive activity and edifice growth (Pinel et al., 2010), stress trajectories due to edifice loading and formation and propagation of fractures (Chevallier and Verwoerd, 1988;Muller et al., 2001;Grosfils, 2007;Hurwitz et al., 2009), flank instability (Martel and Muller, 2000), have significantly contributed to the knowledge on these volcanic processes. The wide variety of these examples and also the detailed information that they provide reaffirms that the numerical models are indeed superior to the analytical models for forward modelling applications. ...