Assignment #2

  1. Extend the previous solution for the sphere (Question 4) to generate a 2-D horizontal array (x, y) of vertical gravity values (gz) for a buried sphere. Allow the sphere to be at arbitrary position and depth (x0, y0, z0) with respect to the coordinate system. Use the program to generate a contour map of the gravity field that you display with PSI-plot. [Choose a horizontal array area of 1 km x 1 km, and appropriate values of the sphere’s parameters to generate a peak anomaly of 5 mgal].
  2. Do problem #1 in the Magnetization problems in 4.6 Problem Set (p. 79).
  3. Do problem #2 in the Magnetization problems in 4.6 Problem Set (p. 80).
  4. Extend the program in the last question to a 2-D horizontal array above a dipole buried at (x0, y0, z0), with an arbitrary direction of magnetization (m), exactly as you did for the gravity. Show contours of a vertically magnetized sphere at the same location as you chose for question 1.

Due: October 15

 You may work together, or alone, as you wish. Subroutine B3 is on the web page for this course.

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