GEOPH424 Final: GEOPHYS 424 UofA Final Exams 2015 424 Final

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31 Jan 2019
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Geophysics 524a1 - 424 a1 - final exam - fall term. Cell phones and all other electronic devices must be switched off and stored. All questions must be directed to the invigilator. Question 1 : resistivity of rocks (total = 18 points) An ore deposit consists of crystalline rock with sulphide minerals in aligned cracks. The volume fraction of sulphides in the rock is v. The sulphides have a resistivity of s and the rock matrix has a resistivity of r. Consider a cube that is 1 m x 1m x 1m (1a) derive an equation for the resistance of the cube when electric current flows parallel to the cracks. Consider 0 < v < 1 (3 points) (1b) derive an equation for the resistance of the cube when electric current flows normal to the cracks. Consider 0 < v < 1 (3 points) (1c) sketch these resistance values on a graph for the range 0 < v < 1.