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                                             PYROCLASTIC FALLS AND PYROCLASTIC DENSITY CURRENTS  113


                                                  10 4



                  Fig. 8.6 The theoretically predicted
                  variation of the product of clast
                  diameter and density (d σ) with cross-
                  wind range b (see Fig. 8.2) for various  1000
                  values of the mass eruption rate and
                  the magma gas content, expressed as
                  the equivalent mass fraction of water
                  exsolved from the magma. Values of  (d   ) (kg m –2 )
                                        6
                  mass eruption rate range from 10 to  σ
                       −1
                   9
                  10 kg s . The short-dashed, long-
                                                                                             10 9
                  dashed and solid curves are for 5, 3  100
                  and 1 wt.% water, respectively.
                  (After fig. 8 in Wilson, L. and Walker,
                  G.P.L. (1987) Explosive volcanic
                  eruptions – VI. Ejecta dispersal in
                  plinian eruptions: the control of
                  eruption conditions and atmospheric             10 6      10 7             10 8
                  properties. Geophys. J. Roy. Astron.  10
                  Soc., 89, 657–679, copyright Wiley-  0      1         4         9        16        25
                  Blackwell Publishing Ltd.)                         Cross-wind range (b km)


                                                  10 4







                                                 1000

                                                (d   ) (kg m –2 )  σ                     Taupo




                                                                                     Pompeii   9
                 Fig. 8.7 Data for four well-studied  100                             AD 79  10
                 eruptions plotted on the theoretical                     1875
                 diagram of Fig. 8.6. (Data for Fogo              1563    Askja
                 1563, Pompeii AD 79 and Taupo were               Fogo
                  provided by G.P.L. Walker; data for
                  Askja 1875 are from Sparks, R.S.J.,
                  Wilson, L. and Sigurdsson, H. (1981)            10 6      10 7             10 8
                  The pyroclastic deposits of the 1875  10
                  eruption of Askja, Iceland. Philos.  0      1         4         9        16        25
                 Trans. Roy. Soc. Ser. A, 299, 242–273.)            Cross-wind range (b km)

                  in Fig. 8.5. Also, notice that in some cases the  where only a few poorly preserved exposures are
                  observed data do not follow the trends of the the-  available. In other cases erratic changes may have
                  oretical curves very well. There is no doubt that in  taken place in the mass eruption rate and exsolved
                  some cases this is a result of problems in the field  magma gas content during the course of the eruption.
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