The
level of compressive stress developed during the warming cycles will of course
depend upon the average temperature and its gradient into the crust. The levels
actually reached would in turn depend upon the forces needed to fail the
particular area of crust, whether by folding, shearing, or whatever. But with
no failure to relieve the compressive strain of 240x10-6, a
relatively hard rock having an elastic modulus of say E = 30x10+3
MPa, will develop a compressive stress of 7.2 MPa (720 Tonnes for every 1
square metre of rock). While this would be lower than the stress expected, on
average, to be needed to crush the rock it could, when integrated over
significant crustal depth, certainly be enough to induce various forms of
geometric failure such as folding and faulting. And because the Earth’s crust is
highly non-homogeneous local stress concentrations may well be enough to induce
local crushing failures in the rock.
Over
the longer period adjustments of geothermal gradient that might be expected
during a warm age the depth of penetration of the surficial thermal waves will be
that much greater. An idealised form of the thermal equilibrium reached over
the full thickness of the crust during a typical warm age, will develop
considerably greater levels of compressive restraint, as is suggested in Figure
5. Compressive stresses would be anticipat ed
to show gradients through the crust thickness similar to the changes in
geothermal temperature gradients – at least until depths where temperature
starts to change the rheological properties so that there is a reduction in the
effective stress changes. But these stress changes could reach levels of
considerable significance to tectonic processes. If for example a 200oC
temperature change occurred at a particular level within the crust the
horizontal compressive stresses if horizontal expansion is fully restrained
could reach values of around 72 MPa, or if unrestrained could over the area of a typical continental landmass produce an
outward motion of over 7 km. At these levels considerable tectonic activity
becomes possible.
During the warm-up phases at various temporal scales alluded to above, the kinematic adjustments within the crust involving sudden releases of stored energy would be expected to occur with compressive related failure modes. These failure modes would occur when the strain build-up reaches the level required for this or that particular failure mode to be induced; they could be expected to be progressive and accumulative, and to occur at different locations at different times over the entire period of the crustal warming. At the end of the warm-up period it might be antici
As
the crust cools over an ice age it will want to contract. Being again prevented
from doing so by the effectively rigid inner core and mantle, tensile stresses
will be developed. Over such a long period, adjustment of geothermal gradient
might be expected to produce substantial levels of tensile restraint, as is
suggested in Figure 6. Tensile stresses would again be anticipat ed to show gradients through the crust thickness
similar to the changes in geothermal temperature gradients. Such a cooling
period could be termed the tension cycle.
Reversing
the above scoping calculations, a drop in average temperature of 200oC
at a given level within the crust will produce tensile stresses of around 72 MPa, more than sufficient to cause
tensile cracking of the rock, opening-up fissures and rifts into which high
pressure magma could be extruded. Adequate also to account for considerable
shear distortion and slip on fault planes, often in a slip-stick fashion
typical of that occurring in earthquakes. It is likely that the tensile
fractures would be concentrated in those areas where the crust is at its weakest.
With oceanic crust being apparently so much thinner than that of continental
crust, at least in the present phase of the dynamic tectonic cycle to be
elaborated later, it would be expected that most, but by no means all, of these
fractures would be located on the ocean floors. While the dominant fractures
would be anticipat ed to be
concentric with the geographic centre of the continental “plate”, the
restrained contractions could also produce radial fractures and transform
faults.
Much of the above post has been taken from the paper "On the Causes of Vertical Motions of Lithosphere", James G A Croll, Frontiers meeting, Geological Society of London, November, 2011.