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Isostasy - Introduction to Geophysics - Lab, Exercises of Geology

Dr. B.R. Ambedkar Open UniversityGeology

During the course work of we done some practical in the lab, The key points are:Isostasy, Program, Thickness, Mountain Root, Elevation, Layer Densities, Layer Thicknesses, Sea Level Defines Zero, Crust, Air

Typology: Exercises

2012/2013

Uploaded on 04/29/2013

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Introduction to geophysics Isostasy Lab
Name:___________________________
1. Write a MATLAB program to calculate the thickness of the mountain root (Tr) and
elevation of mountain above mean sea level (Te). Note that sea level defines zero
elevation. Assume the following layer densities and layer thicknesses for problem 1.
ρa = 0.0 g/cm3 air
ρc = 2.6 g/cm3 crust
ρm = 3.3 g/cm3 mantle
ρw = 1.0 g/cm3 water
Tw = 2 km water layer
Toc = 8 km ocean crust
Tcc = 40 km continental crust
The height equation is: Te + Tw + Toc + Tr = Tcc .
Continental block Ocean block
Tcc
continental crust
Mantle
ρm = 3.3 g/cm^3
Tr
wate
r
Oceanic crust
Te
2. Write a program that instantaneously removes (erodes) 1 km of crust from the top of
the 40 km continental crust. The continental crust is now 39 km thick. Recalculate the
elevation of the continental crust with respect to mean sea level (Te). How many meters
did isostatic re-equilibration cause the top of the 39 km thick crust to go up or down
AFTER the erosion event?
1
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Download Isostasy - Introduction to Geophysics - Lab and more Exercises Geology in PDF only on Docsity!

Introduction to geophysics Isostasy Lab

Name:___________________________

  1. Write a MATLAB program to calculate the thickness of the mountain root (Tr) and elevation of mountain above mean sea level (Te). Note that sea level defines zero elevation. Assume the following layer densities and layer thicknesses for problem 1.

ρa = 0.0 g/cm^3 air ρc = 2.6 g/cm^3 crust ρm = 3.3 g/cm^3 mantle ρw = 1.0 g/cm^3 water

Tw = 2 km water layer Toc = 8 km ocean crust Tcc = 40 km continental crust

The height equation is: T (^) e + Tw + Toc + Tr = Tcc.

Continental block Ocean block

Tcc continental crust

Mantle Tr ρm = 3.3 g/cm^

water Oceanic crust

Te

  1. Write a program that instantaneously removes (erodes) 1 km of crust from the top of the 40 km continental crust. The continental crust is now 39 km thick. Recalculate the elevation of the continental crust with respect to mean sea level (Te). How many meters did isostatic re-equilibration cause the top of the 39 km thick crust to go up or down AFTER the erosion event?

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Computer answers

Report the answer to the nearest 1/10 of a km. You should get these exact answers with YOUR code.

Just writing done these numbers will not get you any credit. We will be grading you on your coding of the problems.

Hand in next lab:

  1. your code that calculates the answers
  2. the answers, clearly identified and boxed, as shown below.

=================Problem 1

Continental block root thickness = 24606.06 meters or 24.6 km Continental elevation = 5393.94 meters or 5.4 km

===================Problem 2

Continental block root thickness = 23818.18 meters or 23.8 km Continental elevation = 5181.82 meters or 5.2 km Continent rebounded (went up) 0.2 km with 1 km of erosion.

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