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                                                                                 MAGMA STORAGE    49


                 at a distance, d, from the center of uplift (Fig. 4.7c).  tem. The simplest such bodies are sills and lac-
                 If the uplift ∆h is divided by its value ∆h immedi-  coliths (Fig. 4.10). Figure 4.11 shows an outcrop
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                  ately above the buried sphere, the relationship is  of the Whin Sill, which crops out across much of
                                                              northern England and which varies in thickness
                                  2
                                     2
                  (∆h/∆h ) = 1/[1 + (d /h )] 3/2      (4.1)   from 2–3 m to greater than 60 m. Larger sills occur:
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                                                              the Basement Sill in Antarctica, for example, is typic-
                  So, when  d = h , (∆h/∆h ) = 0.353, and when   ally 300–400 m thick with a maximum thickness
                               0        0
                  d = 2 h , (∆h/∆h ) = 0.089, and so on. Figure 4.7c  of ∼700 m. Occasionally sills can exceed 1 km in
                       0       0
                  shows the results of using a Mogi-type model to fit a  thickness.
                  set of uplift patterns observed at Krafla. This indi-  Many large intrusive complexes may have started
                  cates that the deformation recorded during activity  as sills but gradually evolved in shape and size as
                  at Krafla during the 1970s is consistent with the  more magma was added to them. For example, the
                  inflation and deflation of a magma chamber cen-  Skaergaard layered intrusion in Greenland appears
                  tered at a depth of ∼3 km beneath the surface.  to have started as a sill which was intruded along
                   Similar patterns of deformation have been  an unconformity but later developed a more lac-
                  observed at other volcanoes and successfully mod-  colithic shape (Fig. 4.12). A laccolith, like a sill,
                  eled using Mogi-type models. For instance, Fig. 4.8a  intrudes between layers in the country rocks, but
                  shows the uplift at Kilauea volcano in Hawai’I  a laccolith has a less tabular shape because the
                  between January 1966 and October 1967. Figure  intrusion causes updoming of the overlying rocks
                  4.8b shows the uplift of a single benchmark within  (Fig. 4.10b). Many large intrusions have a generally
                  the caldera between August and October 1967  sheet-like shape (e.g., Bushveld in South Africa,
                  which has been fitted using a Mogi model. The best  Dufek in Antarctica, Newark Island in Canada)
                  fit suggests that the center of deformation is located  suggesting that the formation of sills often plays
                  at a depth of ∼3 km. Figure 4.9 shows similar mod-  an important part in the initial formation of magma
                  eling for Mauna Loa volcano, also in Hawai’I. The  chambers. The largest known basaltic intrusions
                  center of deformation at Mauna Loa is at a depth of  on Earth (Dufek and Bushveld) have volumes of
                                                                     3
                                                                 5
                  ∼3.1 km. Seismic activity there defines a storage zone  ∼10 km , which is far in excess of the  ∼10 km 3
                  at depths of ∼3 to ∼8 km. The center of deformation  volumes of the magma reservoirs beneath current
                  is thus within the seismically defined storage zone  basaltic centers such as Krafla, Kilauea and Mauna
                  but is located towards its top. This is also the case   Loa.

                  at Kilauea where the deformation center is located   Not all intrusions have this sheet-like form.
                  at a depth of ∼3 km while the seismically defined  Figure 4.13 shows, for example, a cross-section
                  chamber extends from ∼2 to ∼6 km (Fig. 4.3).  through the Cadillac Mountain Intrusive Complex
                   Table 4.2 summarizes geophysical observations  in Maine which has a more basin-like shape. The
                  of magma chamber sizes and locations made on a  top of this intrusion has been lost to erosion so it is
                  number of currently active volcanoes.       not known what the geometry of the upper bound-
                                                              ary was like, but the basin-like shape appears to
                                                              be more like the relatively equant shape usually
                  4.2.4 Geological evidence for magma storage
                                                              inferred for modern magma chambers from geo-
                  While geophysical and petrological techniques allow  physical studies. The various Tertiary intrusive
                  us to infer the presence of magma chambers   complexes of the west coast of Scotland also
                  beneath active volcanoes, geological studies allow  exhibit this more equant shape (Fig. 4.14). These
                  us to examine the intrusive bodies left behind when  centers were some of the earliest intrusive com-
                  a volcanic system cools and is eroded. Numerous  plexes to be studied in detail and are wonderful
                  intrusive bodies have been identified and studied in  examples of what a currently active volcanic center
                  detail by geologists. Of interest to us here are those  may look like after final solidification and erosion.
                  which are large enough to have played a significant  Figure 4.14 shows the association of the central
                  role in controlling the dynamics of a magmatic sys-  complex of Mull with contemporaneous lavas
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