ANALYTICAL EXPRESSIONS FOR GRAVITY DUE TO HOMOGENEOUS REVOLUTIONAL COMPARTMENTS IN THE GAUSSIAN DIVERGENCE APPROACH*

References

1. Barnett, C. T.1976, Theoretical modeling of the magnetic and gravitational fields of an arbitrarily shaped three‐dimensional body, Geophysics41, 1353–1364.
   [Google Scholar]
2. Bott, M. H. P.1959, The use of electronic digital computers for the evaluation of gravimetric terrain corrections, Geophysical Prospecting7, 45–54.
   [Google Scholar]
3. Ehrismann, W., Müller, G., Rosenbach, O. and Sperlich, N.1966, Topographic reduction of gravity measurements by the aid of digital computers, Bolletino di Geofisica Teorica ed Applicata8, 3–20.
   [Google Scholar]
4. Hagiwara, Y.1975, Conventional and spherical Bouguer corrections, Journal Geodetic Society of Japan21, 16–18 (in Japanese).
   [Google Scholar]
5. Hammer, S.1939, Terrain corrections for gravimeter stations, Geophysics4, 184–194.
   [Google Scholar]
6. Kane, M. F.1962, A comprehensive system of terrain corrections using a digital computer, Geophysics17, 455–462.
   [Google Scholar]
7. Kantas, K. and Zych, D.1967, Reduction of gravity observations with digital computer, Pure and Applied Geophysics68, 11–18.
   [Google Scholar]
8. Karl, J. H.1971, The Bouguer correction for the spherical earth, Geophysics36, 761–762.
   [Google Scholar]
9. Ketelaar, A. C. R.1976, A system for computer‐calculation of the terrain correction in gravity surveying, Geoexploration14, 57–65.
   [Google Scholar]
10. Krohn, D. H.1976, Gravity terrain corrections using multiquadric equations, Geophysics41, 266–275.
    [Google Scholar]
11. Nagy, D.1966, The gravitational attraction of a right rectangular prism, Geophysics31, 362–371.
    [Google Scholar]
12. Okabe, M.1979, Analytical expressions for gravity anomalies due to homogeneous polyhedral bodies and translations into magnetic anomalies, Geophysics44, 730–741.
    [Google Scholar]
13. Okabe, M.1981, Boundary element method for the arbitrary inhomogeneities problem in electrical prospecting, Geophysical Prospecting29, 39–59.
    [Google Scholar]
14. Paul, M. K.1974, The gravity effect of a homogeneous polyhedron for three‐dimensional interpretation, Pure and Applied Geophysics112, 553–561.
    [Google Scholar]
15. Plouff, D.1976, Gravity and magnetic fields of polygonal prisms and application to magnetic terrain corrections, Geophysics41, 727–741.
    [Google Scholar]
16. Sandberg, C. H.1958, Terrain corrections for an inclined plane in gravity computations, Geophysics23, 701–711.
    [Google Scholar]