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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 ν − ≤ . What’s the value for bulk modulus if ν =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 energy travels down through the Earth and reaches an interface between two rock layers at angle of incidence i = 30 degrees.
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