Geology’468K’ –’ Homework’1 ’ ’
Due:’ Monday,’Feb’4 ’
For’this’assignment,’it’is’fine’to’work’together,’but’everyone’must’turn’in’his’or’her’own
’
version.’Show’all’work.’Use’complete’sentences’for’short
answer’questions. ’ Include’ units’for’
all’ necessary’ results.’ Use’ Excel’ or’ Matlab
’ for’ plotting ,’ and’ include’ axes’ labels’ and’ units
.’
Accompanying’reading’in’the’book’
are’ Chapters’ 3’and’7 ’ plus’the’notes’from’class.
’
1) (30 points) Assume you have an elastic, isotropic solid that has bulk modulus
K
= 52 GPa,
Poisson’s ratio
ν
=0.29, and density
ρ
=3.05 g/cm
3
.
A) (5 points) What does elastic mean?
B) (5 points) What does isotropic mean?
C) (10 points) What are the P and Swave velocities for this material? Are these slower or faster
than the velocities for quartz? Why are they slower or faster? Show your work for this.
D) (10 points) Poisson’s ratio is the ratio of transverse contraction strain to longitudinal
extension strain. Describe in simple terms what this means.
The theoretical limits Poisson’s ratio
are
1
0.5
−≤ ≤
. What’s the value for bulk modulus if
=0.5? What does this mean in a physical
sense? What does a negative Poisson’s ratio indicate? Find an example on the web about a
material of this kind.
Include the citation for the website.
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View Full Document2) (30 points) An explosion occurs 10 km beneath the ground surface, and the resulting seismic
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 Spring '08
 Staff
 Geology, San Andreas Fault, Seismic wave, body waves, Pwave

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