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276                                                            J. Martı ´ et al.


             Theoretical models demonstrate that ring faults controlling caldera collapse may
          originate from magma chambers with either overpressure or underpressure. Nature
          exhibits calderas which may have formed by either condition: (i) there are examples
          of large calderas, usually located in continental settings, where the analysis of the
          caldera deposits supports the idea of a rapid accumulation of caldera-forming
          deposits without any preceding central vent eruption that could have resulted
          in an a priori chamber decompression (Sparks et al., 1985; Martı ´, 1991; Petrinovic,
          1999; Aguirre-Dı ´az and Labharte-Herna ´ndez, 2003). (ii) There are also numerous
          examples of caldera collapses preceded by plinian central vent eruptions that
          account for a significant decompression of the magma chamber prior to the
          initiation of caldera subsidence (Williams, 1941; Mahood, 1980; Bacon, 1983;
          Heiken and McCoy, 1984; Heiken et al., 1990; Hildreth and Fierstein, 2000).
             There are still some aspects that need to be studied in more detail in order to
          confirm the validity of the numerical models. One of the main uncertainties
          corresponds to the rheological behaviour of the host rock. Most of the existing
          theoretical models assume a purely elastic behaviour for the magma chamber walls.
          This is clearly an oversimplification, particularly in long-standing volcanic systems
          with a series of inflation and deflation episodes and ensuing thermal effects of
          magma replenishment on host rocks. Development of theoretical models using
          more realistic rheologies is definitively needed in order to better constrain the
          mechanics of caldera formation.


          5.3. Implications of geophysical images on the assessment of caldera
               processes

          Despite their limitations as outline above, geophysical images provide invaluable
          insights into the interior of calderas and, thus, represent an important contribution
          to our understanding of subsurface dynamics. While geophysical imaging is a
          universal and widely applied tool for assessing the structure of and dynamics in oil
          or gas reservoirs, images of the interior of collapse calderas are however still rare,
          given the fact that more than 100 calderas have shown signs of unrest in the past
          decades (Newhall and Dzurisin, 1988). As a result, our knowledge on the
          subsurface is far from complete, and many questions remain regarding the timescale
          and amount of magma replenishment beneath active calderas. Other questions
          pertaining to short-wavelength anomalies, for example, the extent of fault zones or
          hydrothermal systems or the existence of fluid (?magma)-filled pockets, are difficult
          to answer with a caldera-wide distribution of recording devices but could be
          answered by dedicated high-precision surveys at selected areas that have proven to
          show marked anomalies during conventional surveys. Recent archaeological studies
          may serve as an example (Cardarelli and de Nardis, 2001).
             Another key implication of geophysical imaging concerns the question of the
          origin of calderas. A current subsurface image of an active caldera rarely mirrors
          the subsurface structure prior to the formation of a collapse caldera. Although it is
          tempting to adopt a geophysical image of a caldera-wide magmatic reservoir of
          given shape and depth as a mirror image of the magma chamber causative for the
          collapse, in order to validate results from other investigations, we have to be
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