Spherical terrain corrections for gravity anomaly u sing a digital elevation model gridded with nodes at every 50 m

Journal of the Hokkaido University, Faculty of Science, Series VII: Geophysics

Volumn 11, Issue 6, 2002, Pages 845-880

  Yamamoto, Akihiko ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31444438529     PISSN: 0441067X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (56)

1. Banerjee, B. and S.P.D. Gupta, 1977. Gravitational attraction of a rectangular parallele piped, Geophysics, 42, 1053-1055.
2. Barrows, L.J. and J.D. Fett, 1991. A sloping wedge technique for calculation gravity terrain corrections, Geophysics, 56, 1061-1063. (Pubitemid 21667021)
3. Blakely, R., 1996. Potential Theory in Gravity and Magnetic Applications, Cambridge University Press.
4. Bullard, E.C., 1936. Gravity measurements in east Africa, Phil. Trans. R. Soc. Lond., 235, 445-531.
5. Cogbill, A.H., 1990. Gravity terrain corrections calculated using digital elevation models, Geophysics, 55, 102-106.
6. Dobrin, M.B. and C.H. Savit, 1988. Introduction to Geophysical Prospecting, 4th edition, McGraw-Hill Book Co.
7. Garcia-Abdeslem, J., 1992. Gravitational attraction of a rectangular prism with depthdependent density, Geophysics, 57, 470-473.
8. Garcia-Abdeslem, J. and B. Martin-Atienza, 2001. A method to compute terrain corrections for gravimeter stations using a digital elevation model, Geophysics, 66, 1110-1115. (Pubitemid 32931648)
9. Geographical Survey Institute, 2001. Digital Map 50 m Grid (Elevation), CD-ROM (Japan-I,Japan-II, and Japan-III).
10. Geological Survey of Japan (ed.), 2000. Gravity CD-ROM of Japan, Digital Geoscience Map P-2, Geological Survey of Japan.
11. Gettings, M.E., 1982. Near-station terrain corrections for gravity data by a surface-integral technique, U. S. Geol. Surv. open-file report, 82-1045.
12. Granar, L., 1976. On topographic gravity corrections, Geoexploration, 5,65-70.
13. Granar, L., 1987. Topographic reduction of gravity measurements by numerical integration of boundary integrals, Geophys. Prosp., 35, 71-82.
14. Hagiwara, Y., 1967. Analyses of gravity values in Japan, Bull. Earthquake Res. Inst., Univ. Tokyo, 45, 1091-1228.
15. Hagiwara, Y., 1975. Conventional and spherical Bouguer correction,. Geod. Soc. japan, 21, 16-18 (in Japanese).
16. Hagiwara, Y., 1978. Geogravity. Kyoritsu Publishing Company, 242 pp (in Japanese).
17. Hammer, S., 1939. Terrain corrections for gravimeter stations, Geophysics, 4, 184-194.
18. Hayford, IF. and W. Bowie, 1912. The effect of topography and isostatic compensation upon the intensity of gravity, U.S.G.S. Spec. Publ., No. 10.
19. Herrera-Barrientos, and R. Fernandez, 1991. Gravity terrain corrections using Gaussian surfaces, Geophysics, 56, 724-730. (Pubitemid 21653158)
20. Jacobs, A., R.D. Russell and IT. Wilson, 1959. Physics and Geology, McGraw-Hill Book Co.
21. Kane, M.F., 1962. A comprehensive system of terrain corrections using a digital computer, Geophysics, 27, 455-462.
22. Karl, J.H., 1971. The Bouguer correction for the spherical earth, Geophysics, 36, 761-762.
23. Katsura, I.,J.Nishida and S. Nishimura, 1987. A computer program for terrain correction of gravity using KS-llO-1 topographic data, BUTS URI - TANSA (Geophys. Explor.), 40, 161-175 (in Japanese).
24. Ketelaar, A.C.R., 1976. A system for computer-calculation of the terrain correction in gravity surveying, Geoexploration, 14, 57-65.
25. Komazawa, M., 1988. A gravimetric terrain correction method by assuming annular prism,J. Geod. Soc. japan, 34, 11-23 (in Japanese).
26. Komazawa, M., 2001. personal communication.
27. Kono, Y. and M. Kubo, 1983. Calculation of terrain correction term by using meshed mean height data,J. Geod. Soc. japan, 29, 101-112 (in Japanese).
28. LaFehr, T.R., 1991a. Standardization in gravity reduction, Geophysics, 56, 1170-1178. (Pubitemid 21680743)
29. LaFehr, T.R., 1991b. An exact solution for the gravity curvature (Bullard B), Geophysics, 56, 1179-1184. (Pubitemid 21680742)
30. Li, Y.c. and M.G. Sideris, 1994. Improved gravimetric terrain corrections, Geophysics., 119, 740-752.
31. Mateskon, S.R. and R.R.B. von Frese, 1985. Gravity and magnetic terrain modeling by Gaussian quadrature integration, in International Meeting on Potential Fields in Rugged Topography, Institut de Geophysique, Universite de Lausanne-Bulletin, 7,14-17.
32. Nagy, D., 1966a. The prism method for terrain corrections using digital computers, Pure Appl. Geophys., 63, 31-39.
33. Nagy, D., 1966b. The gravitational attraction of a right rectangular prism, Geophysics, 31, 362-371.
34. Nettleton, L.L., 1976. Gravity and Magnetics in Oil Prospecting, McGraw-Hill Book Co.
35. Novak, P., P. Vanicek, Z. Martinec and M. Veronneau, 2001. Effects of the spherical terrain on gravity and the geoid, J. Geodesy, 75, 491-504. (Pubitemid 33098802)
36. Nozaki, K., 1981. A computer program for spherical terrain correction,J. Geod. Soc. japan, 27,23-32 (in Japanese).
37. Olivier, R.J. and R.G. Simard, 1981. Improvement of the conic prism model for terrain correction in rugged topography, Geophysics, 46, 1054-1056.
38. Parasnis, D.S., 1986. Principles of Applied Geophysics, 4th edition, Chapman and Hall.
39. Parker, RL., 1995. Improved Fourier terrain correction, Part I, Geophysics, 60, 1007-1017. (Pubitemid 26455770)
40. Parker, RL., 1996. Improved Fourier terrain correction, Part II, Geophysics, 61, 365-372.
41. Plouff, D., 1976. Gravity and magnetic fields of polygonal prisms and application to magnetic terrain corrections, Geophysics, 41, 727-741.
42. Sandberg, C.H., 1958. Terrain corrections for an inclined plane in gravity computations, Geophysics, 23, 701-711.
43. Shichi, R and A. Yamamoto, 2001a. List of gravity data measured by Nagoya University, Bull. Nagoya University Museum, Special Rept., 9, Part. I, in press.
44. Shichi, Rand A. Yamamoto, 2001b. List of gravity data measured by the organizations other than Nagoya University, Bull. Nagoya University Museum, Special Rept., 9, Part. II, in press.
45. Spielman, lB. and D.A. Ponce, 1984. Handtc, a Fortran program to calculate inner-zone terrain corrections, Open-File Report 84-777, U.S. Geological Survey.
46. Swick, C.A., 1942. Pendulumn gravity measurements and isostatic reduction, U. S. Coast and Geod. Surv., Spec. Publ., 232, 67-70.
47. Takin, M. and M. Talwani, 1966. Rapid computation of the gravity attraction of topography on a spherical earth, Geophys. Prosp., 14, 119-142.
48. Talwani, M., 1973. Computer usage in the computation of gravity anomalies, "Methods in Computational Physics," vol. 13, B. A. Bolt (ed.), 343-389, Academic Press, New York.
49. Tamada, O., 1979. Computer program for the reduction of gravity, Tsukumo-Chigaku, 14, 48-58 (in Japanese).
50. Telford, W.M., L.P. Geldart, RE. Sheriff and D.A. Keys, 1976. Applied Geophysics, Cambridge University Press.
51. Tsoulis, D., 2001. Terrain correction computations for a densely sampled DTM in the Bavarian Alps,J. Geodesy, 75, 291-307.
52. Tsuboi, C., 1983. Gravity, George Allen &Unwin Publishers Ltd.
53. Vanicek, P., P. Novak and Z. Martinec, 2001. Geoid, topography, and the Bouguer plate or shell,J. Geodesy, 75, 210-215.
54. Wessel, P. and W.H.F. Smith, 1995. New version of the generic mapping tools released, EOS, Trans. Am. Geophys. Un., Suppl., Aug. 15.
55. Yamamoto, A., 1984. Gravity data reduction in a rugged mountainous area, The Earth Monthly, 60, 373-380 (in Japanese).
56. Yamamoto, A., K. Nozaki, Y. Fukao, M. Furumoto, R Shichi and T. Ezaka, 1982. Gravity survey in the central ranges, Honshu, Japan. J. Phys. Earth, 30, 201-243. (Pubitemid 13474014)