Page 196 - Fundamentals of Physical Volcanology
P. 196

9780632054435_4_011.qxd  12/10/2007  12:33PM  Page 173






                                                     VOLCANIC HAZARDS AND VOLCANO MONITORING     173


                 Table 11.1 Data on eruption frequency and probability for 92 eruptions of Mount Vesuvius.

                 Volcanic Explosivity   Eruption type              Number of eruptions     Probability value
                 Index value
                 1                      Lava flow                   21                      0.228
                 1.5                    Strombolian crisis          15                     0.391
                 2                      Strong Strombolian activity  17                    0.576
                 2.5                    Strong Strombolian          10                     0.685
                                          activity + lava fountains
                 3                      Small eruption column       15                     0.848
                 4                      Subplinian eruption         5                      0.902
                 5                      Plinian eruption            8                      0.989
                 6                      Ultra-Plinian eruption      1                      1.000

                 Taken from section 7.4.1 in Dobran, F. (2001) Volcanic Processes – Mechanisms in Material Transport. Kluwer Academic/
                 Plenum Publishers, New York, 590 pp. With kind permission of Springer Science and Business Media.

                     1                                        P(intensity ≥ VEI) = 1 − exp[−6.634 ∆t
                                                                              exp(−1.18 VEI)]     (11.1)

                    0.8                                       where ∆t is the time interval between eruptions in
                                                              years. Some examples of the implications of this
                                                              are that, in any 10 year period, the probability
                    0.6
                   Probability                                of a Plinian eruption with VEI = 5 occurring is
                                                              only 0.16, or about 1 in 6, whereas the chance of
                                                              a Strombolian eruption with VEI = 2.5 is close to
                    0.4
                                                              0.97, i.e., extremely likely.
                    0.2
                                                              11.4 Monitoring volcanoes and short-term
                                                              eruption prediction
                     0
                       0     1     2    3     4     5     6
                                       VEI                    Volcanoes that erupt frequently are commonly mon-
                                                              itored in various ways for two reasons: to learn
                 Fig. 11.11 Probability of a given Volcanic Explosivity
                                                              more about the internal structure of the volcano
                 Index (VEI). (Based on fig. 7.19 in Volcanic Processes:
                                                              and to look for signs of activity. The two processes
                 Mechanisms in Material Transport, by F. Dobran, Kluwer
                                                              are linked, because the more we understand about
                 Academic/Plenum Publishers, New York, 2001, 590 pp.
                 With kind permission of Springer Science and Business  a particular volcano, the more sense we are likely
                 Media.)                                      to make of indicators of impending eruptions.
                                                                Traditionally, monitoring volcanoes has implied
                  from Dobran (2001) treating a data base of 92   making measurements at ground level on the vol-
                  eruptions at Mount Vesuvius. The probability value,  cano. Unfortunately, all continuous monitoring exer-
                  P, for each VEI in Table 11.1 is the cumulative frac-  cises involving instrumentation on a volcano are
                  tion of eruptions for which the intensity is less than  expensive and vulnerable. Usually at least several
                  or equal to that VEI. For example, the P value for  instruments have to be left in place on the volcano
                  VEI ≤ 2.5 is (21 + 15 + 17 + 10)/92 = 0.685. Plotting  and the measurements are either recorded on site
                  the P values against their corresponding VEI values,  in some simple computer-controlled data storage
                  a graph such as Fig. 11.11 is found, which can be  device or returned to a distant base via a radio or
                  fitted by the double exponential function    satellite link. All parts of the system have to be
   191   192   193   194   195   196   197   198   199   200   201