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. / Graduation date: 1971
| Identifer | oai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/28934 |
| Date | 15 April 1971 |
| Creators | Kim, So Gu |
| Contributors | Heinrichs, Donald F. |
| Source Sets | Oregon State University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis/Dissertation |
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