Page 314 - Caldera Volcanism Analysis, Modelling and Response
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Structural Development of Calderas                                   289


             Table 1  Parameters scaled to simulate the brittle crust and the ductile magma chamber
             during caldera-collapse (modified after Merle and Vendeville, 1995).
               Parameter                                              Model/nature ratio
               Brittle crust

                 Length                                               L
                 Density                                              r

                 Gravity                                              g


                 Stress                                               s ¼ r g L

                 Cohesion                                             c ¼ s
               Magma
                 Viscosity                                            m

                 Strain rate                                          e ¼ s/m

                 Time                                                 t ¼ 1/e

                 Velocity                                             v ¼ e L
                                           5          3             4
             their viscosity m, ranging from 10  (air) to 10  (water) and 10 (silicone) Pa s. The
             viscosity of magma can vary over 12 orders of magnitude, depending on its
             composition and temperature (Talbot, 1999). Ideally, using a certain analogue
             with a given viscosity, it is possible to experimentally simulate a wide range of




             magma viscosities, by controlling the related strain rates e (e ¼ s /m ), times t




             (t ¼ 1/e ) and velocities of deformation v (v ¼ e L )(Table 1; Merle and
             Vendeville, 1995). In practice, all the used magma analogues have some advantage
             and limitation. While silicone may be used to simulate very viscous magmas
                    10
             (mB10 Pa s) under ordinary laboratory times (hours), the lower viscosity of air
             and, mostly, water remains more suitable to simulate basaltic magmas. However,
             unlike silicone, their common confinement within an elastic balloon limits their
             flow, mobility and attitude to intrude.
                  3. Experimental Studies on Calderas
             3.1. General features
             This section considers the experiments on calderas where collapse is achieved
             simulating an underpressure within the analogue magma chamber (Komuro, 1987;
             Marti et al., 1994; Acocella et al., 2000, 2001; Roche et al., 2000; Walter and
             Troll, 2001; Troll et al., 2002; Kennedy et al., 2004; Lavalle `e et al., 2004;
             Belousov et al., 2005; Geyer et al., 2006), including the influence of a regional stress
             field (Cailleau et al., 2003; Acocella et al., 2004; Holohan et al., 2005). However, as
             part of these 13 experimental sets share common research groups, materials,
             apparati and stress conditions, this review will consider only the following eight key
             papers: Komuro (1987), Marti et al. (1994), Acocella et al. (2000, 2004), Roche
             et al. (2000), Walter and Troll (2001), Kennedy et al. (2004) and Holohan et al.
             (2005) (Table 2).
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