Page 216 - Fundamentals of Physical Volcanology
P. 216

9780632054435_4_013.qxd  12/10/2007  12:34PM  Page 193






                                                                    VOLCANISM ON OTHER PLANETS   193


                 Table 13.1 The consequences of erupting a basaltic magma containing 1 wt% water on the bodies and under the
                 conditions specified.

                 Location of eruption              Ambient         Percentage of     Nature of
                                                   pressure       gas released       eruption

                 Europa (deep ocean always present)  130 MPa        0                Lava, no gas bubbles
                 Earth, under deep ocean            40 MPa          0                Lava, no gas bubbles
                 Earth, under shallow ocean         20 MPa         12.3              Lava, 9% vesicles
                 Mars, under deep ancient ocean     15 MPa         28.3              Lava, 24% vesicles
                 Venus (no ocean ever present)       9 MPa         49.8              Lava, 48% vesicles
                 Mars, under shallow ancient ocean   7.5 MPa       56.3              Lava, 56% vesicles
                 Earth, on land at sea level         0.1 MPa       97.9              Explosive eruption, ejecta
                                                                                     speed 220 m s −1
                 Mars (no oceans for most of history)  500 Pa      99.9              Explosive eruption, ejecta
                                                                                     speed 347 m s −1
                 Mercury, Moon, Io (no oceans ever)  ∼0            100.0             Explosive eruption, ejecta
                                                                                     speed 484 m s −1



                 6 and show that the lower the external pressure the  pressure increase on a low-gravity planet, reser-
                 more vigorous the explosion.                 voirs on all of the other planets are expected to be
                   The second major factor controlling eruption  deeper inside volcanoes than on Earth. Second, the
                 conditions is gravity. Here the influence is subtle.  acceleration due to gravity influences the vertical
                 The lithostatic pressure, P, at any given depth D  sizes of magma reservoirs. It is currently thought
                  below the surface of a planet where the accelera-  that reservoirs grow until they reach a vertical
                  tion due to gravity is g is given by P = ρgD, where   height H such that the stress across the walls due to
                 ρ is the mean density of the overlying rock mass.  the difference,  ∆ρ, between the densities of the
                 This statement neglects the fact that, especially  magma inside and the solid country rock outside is
                 near the surface of a planet, rocks can support  equal to the strength of the walls. This stress is pro-
                 stresses of several megapascals before fracturing or  portional to (∆ρgH). However, the strengths of all
                 deforming slowly in a viscous fashion, but even so it  volcanic rocks are similar, so the value of (∆ρgH)

                 gives a good approximation to the typical pressure  should be similar on all planets. Also the density dif-
                 at a given depth, and the approximation gets bet-  ferences between the solid and liquid states of all
                 ter as the depth increases. The implication of this  volcanic rocks are also rather similar, so the value of
                 relationship is that on a low-gravity planet (and the  ∆ρ should be similar on all planets. The only way
                 Earth has the largest acceleration due to gravity of  that both requirements can be satisfied is if H is
                 all the bodies we have to consider) one must go   inversely proportional to g: the lower the gravity,
                 to a greater depth below the surface to reach any  the greater the vertical extent of the magma reser-
                 given pressure.                              voir. Third, the acceleration due to gravity influ-
                   The gravity influences volcanic structures in  ences the sizes of dikes and sills. This is really just an
                 three ways. First, it controls the depths at which  extension of the second effect, because the lengths
                 magma reservoirs are likely to be found. In Chapter  of the long axes of dikes are determined mainly by
                 4 it was shown that the density variation with  the tensile strengths of rocks and magma density
                 depth, and hence the level of neutral buoyancy, in a  differences in the same way as the vertical extents
                 growing volcano was controlled by the progressive  of magma reservoirs, and to a first approximation
                 crushing of pore spaces as what was once a surface  the thicknesses of dikes and sills, are proportional
                 layer of vesicular lava or ash was buried ever deeper.  to the lengths in a way governed by the elastic prop-
                 The crushing process depends on pressure, and  erties of the rocks (again the same for rocks on all
                 since a greater depth is needed to cause a given  planets) and not the gravity. So dikes and sills are
   211   212   213   214   215   216   217   218   219   220   221