There is a popular
oversimplification regarding tectonic forces and the resulting effects
on surface topography. We think of all the action taking place on top
of a stable foundation when in fact things are a little more
complicated. If we think of two plates colliding, we tend to compare it
to having two loose rugs on a slippery floor and then pushing them
toward each other. One rug might slide under the other, it might drop
down into a mysterious black hole, or you might just have crumples and
folds in both rugs.
Unfortunately, the earth’s crust is not as simple as
the above examples. We are not resting on a stable surface. Instead the
crust is akin to so much floating scum on the mantle, which underlies
the crust. The mantle is a very viscous fluid. In many ways it will
react to forces the same way water does although it will take millions
(or billions, or whatever) times longer to do so.
If you add weight to an object floating in water, then the
object sinks lower into the water. For example, if you fill a coal
barge with coal, the barge sinks lower. If the Mississippi River adds
silt to southern Louisiana then New Orleans will sink lower toward the
mantle (Also lower relative to the Gulf of Mexico. There is a hint here
regarding long term real estate investments.). Conversely, if you
remove weight by melting a large icecap that has previously depressed
the earth’s surface, then that area of the crust will slowly rise
back up again. If erosion removes sedimentary layers from the top of an
existing mountain range, then the remaining portion of the
earth’s crust will float higher. Thus, metamorphic and even
deeper basement layers, which were formerly much lower in the crust,
will gradually float upwards where they will form mountains that are
almost as high as those that existed before erosion took place.
Let’s perform an experiment with the coal barge.
Assume a team of divers brings in balsa wood from an external source
and places a 5-foot thick section under the barge. Assume balsa density
equals 0.2 and water density equals 1.0. We know that the balsa wood
will lift the barge higher out of the water (similar to a life jacket
lifting the head of a hapless swimmer), but let’s do a little
arithmetic.
The total thickness of the barge/balsa complex has
increased by 5 feet. (We have added 5 feet to the bottom of the barge.)
The weight (per square foot) that we have added is equal to the density
(0.2) times the thickness (5 feet). (Technically, we should also
multiply by the weight of water per cubic foot, but this term cancels
out – hence, for simplicity, we have ignored it.) The barge/balsa
complex must displace this additional weight of water. Thus, the bottom
of the barge/balsa complex must extend 0.2 times 5 feet equals 1 foot
deeper into the water. We thus calculate that the barge has been lifted
4 feet higher out of the water. (5 feet thicker minus 1 foot deeper
equals 4 feet higher out of the water.) It is interesting that this
amount of lifting is independent of any cargo that might be in the
barge.
We could also calculate what would happen if we used
another variety of wood that had a higher density. For example, if we
added 5 feet of live oak, which has a density of about 0.977, then the
bottom of the barge/oak complex would have to displace an additional
0.977 times 5 feet equals 4.885 feet of water. The barge would only be
lifted 5 minus 4.885 equals 0.115 feet higher (about 1.38 inches).
(Hint, don’t use ironwood, density equals 1.077, in life
preservers.)
We can apply these principles to plate tectonics. If two
plates collide, either the two pieces of surface crust must crumple, or
one of the pieces must slide under the other (usually a combination of
both). In either case, we have thickened the lightweight crustal
material. (If the subducting plate dives steeply taking most of its
material down with it, this thickening is substantially reduced, but it
is still not entirely eliminated.) When we added lightweight wood
underneath the barge, the barge rose higher out of the water. When we
thicken the lightweight components of the earth’s crust, we call
it mountain building. In the barge example, we also noted that adding
wood to the bottom of the barge caused the complex to extend deeper
into the water as the added weight required a greater water
displacement. When we used the higher density oak instead of the balsa
wood, it caused a deeper displacement and less lifting. This is because
the density of the oak (at 0.977) was much closer to the density of
water (at 1.0) than was the density of balsa (at 0.2).
The earth’s crust (and particularly the lithosphere
under it) has a density only slightly less than that of the underlying
mantle. Thus, when we thicken crustal material and form mountain
ranges, the situation is similar to the oak experiment with the barge.
The displacement taking place out of sight under the crust is ten to
twenty times greater than the uplift above the surface. In order to
build a mile-high mountain range we have to increase the subsurface
displacement by ten to twenty miles. (In practice, there is enough
rigidity in crustal material and the underlying lithosphere so that the
displacement depth can be somewhat less as long as the subsurface
horizontal extent is increased enough to equal the required weight
displacement.)
As noted above, this thickening of the lightweight crustal
material is usually a result of plate collision (convergence). In
theory, we could also thicken the crust by having a team of divers
bring in balsa (or other light weight material) from an outside source,
diving down under the crust (or the rigid portion of the lithosphere),
and nailing it in place under the area where we want to form a mountain
range. (We admit this isn’t overly practical.) Alternately, we
could push or otherwise slide the earth’s crust over a forest of
balsa wood, and as we pass over each tree, nail pieces of the
lightweight material underneath our incipient mountain range. We will
return to this alternate “sliding” process when we discuss
the theory explaining all the local mountain building since the
Laramide. For now, we will simply note that ten million years ago, a
“hot plume” in the mantle was under the Snake River Plain
in Idaho. Since then, the earth’s crust has been slowly sliding
west-southwestward so that now the “hot plume” is under
Yellowstone National Park.
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