On the multipole expansion in the computation of gravity anomalies Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/2801pj66m

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  • Techniques for computing gravity anomalies by multipole expansions obtained from surface integrals and volume integrals are derived together with a vertical line element method. The results are compared with exact calculation for right rectangular prisms and right circular cylinders and the effects of block size and separation between the field point and source body are evaluated. For sources near field points, the multipole expansion of volume integrals consistantly yielded more accurate approximations of the gravity field than either vertical line element or surface integrals. For a given source, the surface integral method compared to vertical line elements gives a better approximation of the field. As distance increases, all three techniques yield accurate gravity values. Improved estimates of the gravity field can be obtained by subdividing the source body into small elements and summing the effect of the elements. The 2nd-order or quadrupole term of the expansions is dominant for near sources while the 0th-order or monopole term becomes increasingly important with increasing separation of the source and field point.
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