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                    130  CHAPTER 9



                                                              it may happen that the magma reservoir feeding
                                                              the flow is small enough that it becomes depleted
                                                              of eruptible magma before a flow has reached its
                                                              cooling-limited length. In that case the flow stops
                                                              when the available magma is used up, and has a
                                                              smaller length and volume than it might have had –
                                                              this is a volume-limited flow.
                                                                If magma continues to emerge from a vent after
                                                              the first cooling-limited flow unit has stopped grow-
                                                              ing, one of three things can happen. First, a new
                                                              flow lobe may begin to grow from the original vent
                                                              along the side of the first flow. Presumably the first
                                                              lava flow will have flowed down the steepest topo-
                                                              graphic gradient leading away from the vent, and
                  Fig. 9.9 A basaltic sheet flow forming from a breakout from  the new flow will therefore take whatever is now
                  a pahoehoe lava flow. (Photograph by Richard Hoblitt,
                                                              the line of least resistance over the new terrain.
                  courtesy U.S. Geological Survey, Hawaiian Volcano
                                                              Second, a new flow may begin to form on top of
                  Observatory.)
                                                              the previous flow unit. Normally this only happens
                                                              if the pre-eruption topography around the vent is
                  flows are more commonly of basaltic, rather than  such as to confine the new flow and prevent it
                  any other, composition and, as shown in Chapter 1,  finding a path alongside the older unit. Third, some
                  most eruptions on the ocean floor are of basaltic  part of the boundary of the original flow unit may
                  lava.                                       give way and allow lava from its interior to spill out
                    An immediately obvious feature of all lava flows  to start to form a new flow.
                  is that as they spread away from a vent they initially  This third process, called a lava breakout, can
                  move downhill and grow in width, but soon the   happen because all lava flows are constantly cool-
                  lateral spreading ceases and the flow maintains a  ing along all their boundaries; the base cools by
                  fairly constant width thereafter, unless significant  conduction into the cold ground under the flow
                  changes in ground slope occur. This is one con-  and the top and sides lose heat both by radiation
                  sequence of the characteristic cooling-induced   and as a result of convection currents in the sur-

                  rheology of the lava and is in marked contrast to   rounding air. However, liquid rock is a very poor
                  the spreading of liquids such as water: a water flood  conductor of heat, and so the information that the
                  will continue to spread sideways as well as down-  outside of the flow has become cool does not reach
                  hill more or less indefinitely, at least until it be-  the center of the flow very quickly. It can be shown
                  comes so thin that surface tension forces become  that the wave of cooling penetrates the flow in such
                  important. Lava too has a surface tension, but its  a way that the greatest depth below the surface or
                  effects are confined to influencing the sizes of the  above the base that experiences significant cooling
                  gas bubbles it contains, as was seen in Chapter 5,  after the flow has been traveling for a time t is λ
                  and are quite irrelevant at the scale of even small  given by
                  lava flows.
                    Another striking feature of lava flows is that any  λ =∼2.3 (κ t) 1/2           (9.1)
                  one flow will not continue to lengthen indefinit-
                  ely but, for a given set of eruption conditions, will  where κ is the thermal diffusivity of the lava, com-
                                                                               2 −1
                  reach a well defined maximum length. This max-  monly about 10 −6  m s  for all magma composi-
                  imum length is ultimately controlled by the cooling  tions. Consider two flows, one of which has been
                  of the flow, as discussed later, and flows which  growing for an hour and the other for a day; cooling
                  cease to advance just because they have cooled too  will have penetrated a distance of only ∼0.14 m into
                  much are called cooling-limited flows. Of course  the first and 0.68 m into the second. Thus although
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