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Gravity anomaly of a dipping prism

  1. Mar 8, 2012 #1
    I am trying to write a matlab script which calculates the gravity anomaly of a dipping prism, using the equations of Hjelt, published in Geoexploration in 1974, issue 1 volume 12.
    Δg=G.Δρ.T0
    where
    http://img580.imageshack.us/img580/6528/41828644.png [Broken]
    and
    http://img31.imageshack.us/img31/4226/phiih.png [Broken]
    at the end of the page there are two notes, the second one says:
    "Note 2: The sign of each [itex]\phi[/itex] is positive, whenever there is an even number of 2s in the indices
    of u, v and w. (u1, - v1 - w1, u1 - v2 - w2, etc.)"

    I just can't get my head around what exactly this means and how to apply it.I have expanded the equations for each [itex]\phi[/itex], using the limits for u, v and w, but they are very long, so will post them only if needed.
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Mar 10, 2012 #2
    I had a quick read of the paper. Granted, the notation that the author uses is not clear and rather cumbersome.

    I am not sure whether this helps, but if I were you, I would derive the gravity effect formula for a simple case (i.e. rectangular prism, semi-infinite slab, etc) and see how the results work out.

    I do not have it at hand right now, but Telford et al., 1990 (Applied Geophysics) has a decent section on gravity methods. I would also take a look at Telford as I recall the notation is clearer.

    cheers.
     
    Last edited: Mar 10, 2012
  4. Mar 11, 2012 #3
    I think Telford gives the equations only for 2D anomalies
     
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