“…In the literature there are excellent experimental and theoretical approaches on magma transport and on the mechanics and fluid-dynamics of magma-filled cracks (e.g., Pollard, 1969Pollard, , 1973Pollard and Muller, 1976;Pollard, 1981, 1982;Delaney et al, 1986;Pollard and Segall, 1987;Takada, 1989;Gudmundsson, 1990Gudmundsson, , 2011aLister and Kerr, 1991;Rubin, 1993a,b;Rubin, 1995;Dahm, 2000;Muller et al, 2001;Roman and Heron, 2007;Menand, 2008Menand, , 2011Taisne and Jaupart, 2009;Maccaferri et al, 2010Maccaferri et al, , 2011Menand et al, 2010;Taisne et al, 2011;Gudmundsson, 2012;Le Corvec et al, 2013c;Rivalta et al, 2015), as well as on rock stress (e.g., Zang and Stephansson, 2010), and we address the reader to these contributions. In this section we only provide a basic background necessary to follow the rest of this review.…”