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2019 | OriginalPaper | Chapter

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

Authors : K. M. Kuznetsov, A. A. Bulychev, I. V. Lygin

Published in: Practical and Theoretical Aspects of Geological Interpretation of Gravitational, Magnetic and Electric Fields

Publisher: Springer International Publishing

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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.

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previous chapter Optimization of Computations for Modeling and Inversion in NMR T2 Relaxometry

next chapter Allowance for the Earth’s Surface Topography in Processing the Magnetic Field Measurements

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).

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).

Strakhov V.N. (1985) On the problem of forward modelling in gravimetry and magnetometry for material rod having polynomial density.// Geophysical Journal, 1985, Vol. 7, № 1, pp. 3–9. (in Russian).

Strakhov V.N., Lapina M.I. (1986) Gravity forward modelling for horizontal homogeneous polygonal plate.// Geophysical Journal, 1986, Vol. 8, № 4, pp. 20–31. (in Russian).

Strakhov V.N., Lapina M.I. (1986) Forward problems of gravimetry and magnetometry for homogeneous polyhedrons.// Geophysical Journal, 1986, Vol. 8, № 6, pp. 20–31. (in Russian).

Title: Field of Attraction of Polyhedron and Polygonal Plate with Linear Density Distribution
Authors: K. M. Kuznetsov
A. A. Bulychev
I. V. Lygin
Publisher: Springer International Publishing
Book: Practical and Theoretical Aspects of Geological Interpretation of Gravitational, Magnetic and Electric Fields
Print ISBN: 978-3-319-97669-3

Electronic ISBN: 978-3-319-97670-9

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-319-97670-9_11