GEOS 112:   Isostasy

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For a copy of the lab handout click here.
For a copy of the math supplement click here.


One of the major differences between the theories of Continental Drift and  Plate Tectonics is the fact that Wagener assumed continents ploughing through oceanic crust, while the newer theory of plate tectonics assumes that both, continental and oceanic crust, are floating on a denser substrate, the Asthenosphere.  The concept of lighter rocks floating on a denser substrate is called isostasy.
You might have encountered the principle of isostasy before:  In Physics it is often called hydrostatic equilibrium, which describes the equilibrium between the weight of an object and the buoyant force as it floats in a liquid.  In geology isostasy describes the floating of less denser crustal material (oceanic or continental) on denser mantle material.

Geologic Evidence for Isostasy

Surveying the Andes and Himalayas
The concept of isostasy was first discovered by surveyors that tried to map large mountain ranges, such as the Andes (by the French Scientists  Pierre Bouguer , La Condamine and  Louis Godi) or Himalayas (under the leadership of Sir George Everest).  It was noted that different surveying techniques yielded results that differed by more than experimental errors could account for.  It was soon found out that the additional mass of a large mountain range attracts a plumb bob towards it and deflects it from the true vertical.  As a result trigonometric surveying techniqies that relied on levels and plumb bobs yielded results that were different from astronomical surveys.
Careful calculations, however, turned out that these mountain ranges were actually lighter than expected, leading in 1855 to the theories of Airy and Pratt, stating that mountains are composed of less dense material floating on a denser substrate.  (Neither Airy, nor Pratt coined the term isostasy, it was introduced in 1889 by C.E. Dutton)
isostatic reboundIsostatic Rebound
If our concept of  a floating crust is correct one would assume that large topographic changes, such as the removal of a mountain range (by erosion), or the deposition (and subsequent melting) of a large ice sheet lead to isostatic adjustments of the Earth's crust.  Removal of a llarge load should cause the crust to float up higher, while loading of crustal rocks should make the crust sink deeper.  Isostatic rebound has been observed for many formerly glaciated locations.  The little animated GIF to the right (courtesy of Tom Rothhamel, Univ. of Montana) illustrates the effects of an icesheet on the underlying rocks.

baltic reboundToday, with the glaciers gone the land surface is still rising in some parts of the world. One of the best examples comes from scandinavia, which is still rebounding from the last ice age.  As a result of isostatic rebound it is often possible to see old shorelines that formed at the end of the last glaciation, when the land surface was still depressed, and are now many meters above present sea level.
Sedimentary Deposits along Passive Margins
Early on many geologists recognized thick stacks of  sediments that were deposited in very shallow water.  Problem was, that many of these stacks were several kilometers thick.  Geological evidence, however, showed that sediments deposited at the bottom of the stack  were deposited in approximately the same water depth as sediments from the top of the stack.  Isostasy offers an explanation for this observation.  As you will see in one of the later exercises, a stack of sediments, if thick enough, can and and will sink under its own weight, leaving the top of the sediments very close to the water surface.

cross section through AlpsGeophysical Evidence of Isostasy

If Airy's or Pratt's hypotheses are correct than continental crust should be thicker, or less dense than oceanic crust, with the crust being thickest under large mountain ranges as the Himalayas, Rocky Mountains or Alps.  Geophysicists who study the propagation of seismic waves (from earthquakes or artificial sources, such as large explosions) found that this is indeed the case.
The image to the right shows a very simplified N-S cross-section through the Alps (click on image to read entire paper).  Seismic evidence shows that the crust and lithosphere under the mountain range are much thicker than the oceanic lithosphere below the Mediterranean sea.
Geophysical experimants are also our main source of information regarding the density of crustal and mantle rocks that will be used later in this lab.

Mathematical Background

buoyant body
A floating body such as the one shown in the figure to the right has two forces acting on it:  The graviational force Fg, or the weight of the body, acts on the body and attempts to pull it downward.  It is compensated by a buoyant force Fb.  Note that both Fg and Fb have the same magnitude, but opposite direction.  They cancel each other out as the body is in hydrostatic equilibrium and floats.  This is indicated in the schematic diagram in the left part of the figure.  The two forces Fband Fg are indicated by two arrows (called vectors)  of equal length, but opposite directions. In this method of describing forces the length of the vector indicates the magnitude of the force, while the direction of the vector indicates the direction of the force. Both forces act on the floating body, so it is customary to let the vectors start from its (approximate) center of mass.  The body shown in this figure can be pretty everything that floats, from a block of wood floating in water to a huge continent floating on the Earth's mantle.  Since the body is floating the two forces must cancel each other out and for two colums of equal crossectional area A we can ultimately write:

     x * rho(liquid) = l1 * rho (liquid) + h1 * rho (object)

For a derivation of  this equation click here.

In exercise 2 of the lab we will test the validity of this equation. 

larsen collapseSome more Information of Glaciers
Modis Earth Observatory
Glacier Types
Glaciers of Alaska

Links to the collapsing ice shelves in Antarctica:


The National Snow and Ice Data Center

NPR
NASA Earth Observatory

Links to Tidewater Glaciers
Earth and Sky
U-Colorado

 

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