“…Commonly, the discrete explosion signals are simply called "explosions" in the volcano acoustics literature and they have been modeled, using linear equivalent source theory, as acoustic monopoles, that is, sources represented as time-varying mass fluxes (e.g., Woulff and McGetchin, 1976;Firstov and Kravchenko, 1996;Johnson, 2003;Delle Donne and Ripepe, 2012;Johnson and Miller, 2014). However, it is recognized that in many cases these "explosion" waves have nonlinear characteristics (Yokoo and Ishihara, 2007;Garces et al, 2013;Marchetti et al, 2013), and nonlinear effects will increase with increasing overpressure release rate and supersonic ejection velocities (Needham, 2010).…”