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324                                                       Agust Gudmundsson


          eruptions onto the caldera floor are supplied with magma through dykes (Figure 8),
          the compressive stresses generated by the dykes would encourage reverse slip on an
          otherwise normal ring fault and, thus, tend to lock the fault. Because of friction
          along the fault plane (Figures 7 and 9), ring-fault slip is much more easily stopped
          on an inward-dipping fault, after a certain displacement, than on an outward-
          dipping fault (Figure 6).


               3. Geometry of the Magma Chamber

               Most ring faults are generated by the local stresses around crustal magma
          chambers (Figures 1, 2 and 4–8). Field studies of plutons in deeply eroded
          palaeovolcanic zones suggest that many crustal chambers, at least during the end
          stages of their evolution, have shapes not far from ideal ellipsoids (Gudmundsson,
          2006; Gudmundsson and Nilsen, 2006).
             In Iceland, for example, there are many well-exposed crustal magma chambers
          (plutons) at 1.5–2 km depth of erosion in extinct composite volcanoes (central
          volcanoes, stratovolcanoes). Most of these plutons, representing the uppermost
          parts of extinct shallow crustal magma chambers, are of gabbro (Gudmundsson,
          2000a, 2006). But there are also many felsic plutons in deeply eroded roots of
          extinct composite volcanoes in Iceland. Similarly, extinct crustal magma chambers
          of various sizes and depths of exposure occur in other deeply eroded volcanic
          regions on Earth, such as in Scotland (Upton, 2004).
             Commonly, there are ring faults and ring dykes associated with the extinct
          chambers. The caldera fault in the Tertiary Hafnarfjall Volcano in West Iceland
          (Figure 9), for example, can be traced to a shallow gabbro pluton, the uppermost
          part of an extinct magma chamber (Gautneb et al., 1989). Extinct, well-exposed
          crustal magma chambers of this type, as well as geophysical studies of active magma
          chambers, indicate that chamber geometries are commonly approximately similar
          to ideal ellipsoidal bodies (Figure 10; Gudmundsson, 1998b, 2002, 2006). Shallow
          chambers are normally located in crustal segments, which, during most unrest


















          Figure 10  Ideal magma chambers are ellipsoidal.Three main ellipsoidal geometries of magma
          chambers are (A) a sphere, (B) an oblate ellipsoid, that is, a sill-like chamber, only half of which
          is shown here and (C) a prolate ellipsoid (modi¢ed from Gudmundsson and Nilsen, 2006).
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