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                    68  CHAPTER 5



                  the molecular level, means pushing the volatile  bubbles may nucleate at more or less the same time
                  molecules back into the liquid. The spontaneous  throughout the magma, and this will mean that the
                  aggregation of molecules of a volatile species   distances between the bubbles will be less than
                  into bubbles in this way is called homogeneous  if nucleation has taken place in equilibrium with
                  nucleation.                                 the decreasing pressure. Of course, there still has
                    The nucleation process is greatly aided if there   to be  some movement of the volatile molecules
                  is some, preferably irregular, surface onto which  to reach a nucleation site even if the magma is very
                  the volatile molecules can gather to minimize the  supersaturated, and that movement, by diffusion
                  effects of surface tension, in which case heteroge-  through the liquid magma, takes a finite time. So
                  neous nucleation takes place. Thus, nucleation is  the greater the rise speed of the magma toward the
                  helped by the presence of solid crystals, and such  surface, the more out of equilibrium, and hence
                  crystals are commonly present in many magmas,  the more supersaturated, the magma is likely to
                  especially if the magma has been stored in a magma  become. At all stages in the rise of a magma that is
                  chamber before eruption for long enough to have  exsolving volatiles there will be a competition
                  cooled below its solidus temperature, so that at  between adding more molecules to existing bubbles
                  least one mineral has started to crystallize. This use  and nucleating new bubbles. The distance between
                  of crystals in magmas as nucleation sites for gas   bubbles is a major factor in determining how effi-
                  bubbles has analogies with the way water vapor  ciently volatile molecules can reach the nearest
                  condenses onto dust motes in the atmosphere to  existing bubble or new bubble nucleation site.
                  form raindrops. Of course, any magma chamber   Thus the presence or absence of crystals (and also
                  or dike must have walls, and at first sight these are  whether there are a large number of small crystals
                  obvious potential sites for bubble nucleation (the  or a small number of large crystals) will have a
                  next time you hold a glass of champagne look  major influence on how bubbles form and then
                  closely at the streams of bubbles nucleating at  grow.
                  irregularities in the wall of the glass). However,
                  the magma immediately adjacent to the wall will be
                  relatively cool and viscous, and these factors re-  5.5 Bubble growth
                  duce the ability of volatiles to migrate through the
                  magma to the otherwise attractive nucleation sites.  Once gas bubbles have formed within a rising
                    If there are no aids to nucleation in a magma   magma, the bubbles grow progressively through

                  then there may be a nontrivial delay in the onset of  some combination of three processes: diffusion of
                  bubble formation, and the magma may become  more gas into existing bubbles; decompression
                  very significantly supersaturated, by as much as  and expansion of the gas already in bubbles; and
                  ∼100 MPa, before bubbles begin to form. The   coalescence of bubbles.
                  balance between supersaturation pressure ∆P and
                  bubble radius r is
                                                              5.5.1 Growth by diffusion
                  ∆P = 2σ/r                            (5.4)  Growth by diffusion involves the migration into
                                                              a bubble of molecules of the volatile compounds
                  where  σ is the surface tension, typically 0.05–  still dissolved in the surrounding magma. The main
                        −1
                  0.1 N m . With ∆P = 100 MPa, the initial bubble  volatile entering the bubble will be the one that
                                                      −9
                  sizes will be only a few nanometers (1 nm = 10 m).  has first become supersaturated and so caused the
                  However, if heterogeneous nucleation on magma  nucleation of the bubble, but some molecules of
                  crystals is taking place at a small supersaturation,  any other volatiles present will also enter the bub-
                  say 1 MPa, then the nucleating bubbles will be  ble. The diffusion process of any one volatile is
                  more like 1 µm in size.                     influenced by many factors, especially the magma
                    If the magma has become very supersaturated  composition, the magma temperature, and the mix-
                  before bubbles start to form, a large number of   ture of other volatile species present.
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