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The generalized Bouguer anomaly
Earth, Planets and Space volume 58, pages 287–303 (2006)
Abstract
This paper states on the new concept of the generalized Bouguer anomaly (GBA) that is defined upon the datum level of an arbitrary elevation. Discussions are particularly focused on how to realize the Bouguer anomaly that is free from the assumption of the Bouguer reduction density ρ B , namely, the ρ B -free Bouguer anomaly, and on what is meant by the ρ B -free Bouguer anomaly in relation to the fundamental equation of physical geodesy. By introducing a new concept of the specific datum level so that GBA is not affected by the topographic masses, we show the equations of GBA upon the specific datum levels become free from ρ B and/or the terrain correction. Subsequently utilizing these equations, we derive an approximate equation for estimating ρ B . Finally, we show how to compute a Bouguer anomaly on the geoid by transforming the datum level of GBA from the specific datum level to the level of the geoid. These procedures yield a new method for obtaining the Bouguer anomaly in the classical sense (say, the Bouguer disturbance), which is free from the assumption of ρ B . We remark that GBA upon the ρ B -free datum level is the gravity disturbance and that the equation of it has a tie to the fundamental equation of physical geodesy.
References
Garland, G. D., The Earth’s Shape and Gravity, 183 pp., Pergamon Press, Oxford, 1965.
Hackney, R. I. and W. E. Featherstone, Geodetic versus geophysical perspectives of the ‘gravity anomaly’, Geophys. J. Int., 154, 35–43, 2003.
Hagiwara, Y., I. Murata, H. Tajima, K. Nagasawa, S. Izutuya, and S. Okubo, Gravity study of active faults—Detection of the 1931 Nishi- Saitama Earthquake Fault—, Bull. Earthq. Res. Inst., 61, 563–586, 1986 (in Japanese with English abstract).
Heiland, C. A., Geophysical Exploration, 2nd Printing, 1013 pp., Prentice-Hall, New York, 1946.
Heiskanen, W. A. and H. Moritz, Physical Geodesy, 364 pp., Freeman and Company, San Francisco, 1967.
Moritz, H., The Figure of the Earth, 279 pp., Wichmann, Karlsruhe, 1990.
Nettleton, L. L., Determination of density for reduction of gravimeter observations, Geophysics, 4, 176–183, 1939.
Nettleton, L. L., Geophysical Prospecting for Oil, 444 pp., McGraw-Hill, New York, 1940.
Nozaki, K., A computer program for spherical terrain correction, J. Geod. Soc. Japan, 27, 23–32, 1981 (in Japanese with English abstract and figure captions).
Nozaki, K., The latest microgravity survey and its applications, OYO Technical Report, No. 19, 35–60, 1997 (in Japanese with English abstract and figure captions).
Nozaki, K., A note on the basic characteristics of spherical gravity corrections: gravitational behavior of a thin spherical cap of axial symmetry, J. Geod. Soc. Japan, 45, 215–226, 1999 (in Japanese with English abstract and figure captions).
Torge, W., Gravimetry, 465 pp., Walter de Gruyter, Berlin, 1989.
Torge, W., Geodesy, 3rd edition, 416 pp., Walter de Gruyter, Berlin, 2001.
Tsuboi, C., Gravity anomalies and the corresponding subterranean mass distribution, Japan Acad. Proc., 14, 170–175, 1938.
Tsuboi, C. and T. Fuchida, Relation between gravity anomalies and the corresponding subterranean mass distribution (II), Bull. Earthq. Res. Inst., Univ. of Tokyo, 16, 273–284, 1938.
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Nozaki, K. The generalized Bouguer anomaly. Earth Planet Sp 58, 287–303 (2006). https://doi.org/10.1186/BF03351925
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DOI: https://doi.org/10.1186/BF03351925