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Field of Attraction of Polyhedron and Polygonal Plate with Linear Density Distribution

  • K. M. KuznetsovEmail author
  • A. A. Bulychev
  • I. V. Lygin
Conference paper
Part of the Springer Proceedings in Earth and Environmental Sciences book series (SPEES)

Abstract

New presentation of field of attraction elements (potential and its first derivatives) is demonstrated for such important approximating models as polyhedron and polygonal plate with density that changes in accordance with linear laws. It is shown that these elements are defined by elements of models’ fields with known analytical representations (polyhedron, polygonal plate and material segment with constant density) and additional integrals for which explicit analytical expressions exist.

Keywords

Gravimetry Direct gravity problem Linear density distribution 

References

  1. Bulychev A.A., Lygin I.V., Melikhov V.R. (2010) Numerical methods for forward solution of gravimetry and magnetometry problems (Compendium of Lectures). Moscow, Faculty of Geology, Lomonosov Moscow State University, 2010, 164 pp. (geophys.geol.msu.ru/STUDY/facultet/forward08_03_2011.pdf) (in Russian).Google Scholar
  2. Strakhov V.N., Lapina M.I. (1983) Forward and inverse problems of gravimetry and magnetometry for arbitrary homogeneous polyhedrons. Theory and practice of gravity and magnetic fields interpretation in the USSR (Proceedings of III-rd All-Union Workshop and School)/ edited by Starostenko V.I., Kyiv, Naukova Dumka, 1983, pp. 3–86. (in Russian).Google Scholar
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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • K. M. Kuznetsov
    • 1
    Email author
  • A. A. Bulychev
    • 1
  • I. V. Lygin
    • 1
  1. 1.Department of Geophysical Methods of Earth Crust Study, Faculty of GeologyLomonosov Moscow State UniversityMoscowRussian Federation

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