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                    80  CHAPTER 6



                                                     –1
                                         Rise speed (m s )
                                                                             Fig. 6.2 The variation with depth
                        2        5      10    20       50     100    200    beneath the surface of the rise speed
                      0                                                 0
                                                                   C        of magma ascending in a dike. The
                                                                            magma rises at a constant speed from
                                             B                              its source until gas bubbles first start to
                                                                            form at point A. Gas bubble expansion
                                                                            releases energy and the magma
                    300                                                 300  accelerates until bubbles become
                   Depth (m)                                                close-packed and fragmentation
                                                                            occurs at point B. Above this point
                                                                            acceleration increases until the
                    600                                                 600  wall friction becomes negligible and
                                                                            gas–pyroclast mixture erupts at the
                                                                            surface at point C. (Adapted from
                                                                            fig. 3 in Wilson, L. & Head, J.W. (1981)
                         A
                                                                            Ascent and eruption of basaltic magma
                    900                                                 900  on the Earth and Moon. J. Geophys.
                        2        5      10    20       50     100    200    Res., 86, 2971–3001.)


                  friction becomes available for a different use. There  rounding atmosphere into which they emerge, and
                  is no change in the amount of potential energy  it determines the way large pyroclasts decouple
                  required to raise the magma through a given dis-  from the stream of gas and small particles to fall to
                  tance toward the surface, and so the extra energy  the surface. It is the measurement of the distribu-
                  goes into the kinetic energy term and causes a large  tion of these large clasts around the vent that allows
                  increase in the acceleration of the gas–pyroclast  us to analyze the conditions during prehistoric
                  mixture.                                    eruptions.
                    The acceleration of the mixture during its ascent
                  towards the surface can be simulated using com-
                                                              6.4.1 Magmatic gas content and exit velocity
                  puter programs. Figure 6.2 shows one such
                  simulation. The ascending magma rises at a fixed
                                                              The exit velocity of the gas–pyroclast mixture in
                  speed of ∼2.5ms −1  until gas bubbles first start to  any particular eruption is sensitive to the gas con-

                  form within it (point A). Once gas bubbles form  tent of the magma, with larger gas contents leading
                  and expand, energy is released and the magma
                                                              to higher exit velocities. There are three main rea-
                  mixture accelerates (between points A and B). At
                                                              sons for this.
                  point B fragmentation occurs. Above this point wall
                  friction becomes negligible and acceleration of the  • The larger the gas content, the greater the total
                  mixture becomes very much more pronounced. In  energy available for release during gas expansion
                  this example, the gas–pyroclast mixture acceler-  and therefore the greater the energy available to
                  ates from less than 20 m s −1  at the fragmentation  accelerate the rising gas–pyroclast mixture.
                  level (at ∼100 m depth) to a velocity of ∼170ms −1  • The larger the gas content of the magma, the
                  upon eruption at the surface (Fig. 6.2).    greater the depth at which bubbles will first nucle-
                                                              ate. The deeper the nucleation depth, the greater
                                                              the total pressure decrease experienced by the gas
                  6.4 Controls on exit velocity               as it ascends and, therefore, the greater the energy
                                                              release through gas expansion.
                  The speed with which gas and entrained small  • The larger the gas content, the deeper the frag-
                  pyroclasts leave the vent in an explosive eruption is  mentation level. Deeper fragmentation means that
                  important for two reasons: it determines the rate at  the change from high to low wall friction also
                  which the eruption products mix with the sur-  occurs deeper, the overall friction losses during
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