The simple case of the vertical gravity gradient on the axis of a hollow cylinder, simulating a borehole, is examined. Formulas for the vertical gradient effect are given for observations above, inside, and below a hollow cylinder and a solid cylinder. The special case of an infinitely large outer radius for the cylinder is also examined, leading to formulas for the vertical gradient effect inside a borehole on its axis and inside a horizontal slab. The influence of the shape of a buried vertical gradient meter on the correction factor for changing the meter reading to density is also considered.

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