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Homework1_Geo468K_correction

# Homework1_Geo468K_correction - Geology 468K Homework 1 Due...

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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 S-wave 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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2) (30 points) An explosion occurs 10 km beneath the ground surface, and the resulting seismic
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Homework1_Geo468K_correction - Geology 468K Homework 1 Due...

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