Mathematics – Logic
Scientific paper
Jul 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jgr....84.3793c&link_type=abstract
Journal of Geophysical Research, vol. 84, July 30, 1979, p. 3793-3801.
Mathematics
Logic
15
Anomalies, Geoids, Mathematical Models, Fourier Transformation, Geos 3 Satellite, Gravity Anomalies, Numerical Integration, Polygons, Polyhedrons, Radio Altimeters, Structural Properties (Geology), Two Dimensional Bodies
Scientific paper
For purposes of geological interpretation, techniques are developed to compute directly the geoid anomaly over models of density within the earth. Ideal bodies such as line segments, vertical sheets, and rectangles are first used to calculate the geoid anomaly. Realistic bodies are modeled with formulas for two-dimensional polygons and three-dimensional polyhedra. By using Fourier transform methods the two-dimensional geoid is seen to be a filtered version of the gravity field, in which the long-wavelength components are magnified and the short-wavelength components diminished.
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