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Modeling of deposits by spheroids

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Abstract

The forward gravity problem is solved with the use of the subdivision of each body of a deposit into a set of adjoining vertical bars, and in the inverse problem each body of a deposit is modeled by a uniform spheroid. Well-known formulas for the gravitational potential and the gravity field components of oblate and prolate spheroids are reduced to a convenient form. Parameters of a spheroid are determined via the minimization of the Tikhonov smoothing functional with the use of constraints on the parameters. This makes the ill-posed inverse problem single-valued and stable. The Bulakh algorithm for estimating the depth and mass of a deposit is elaborated. This method is illustrated by a numerical example of a deposit consisting of two bodies.

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Authors and Affiliations

  1. St. Petersburg State University of Information Technologies, Mechanics, and Optics, St. Petersburg, 197101, Russia

    I. N. Golov & V. S. Sizikov

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  1. I. N. Golov
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  2. V. S. Sizikov
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Original Russian Text © I.N. Golov, V.S. Sizikov, 2009, published in Fizika Zemli, 2009, No. 3, pp. 83–96.

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Golov, I.N., Sizikov, V.S. Modeling of deposits by spheroids. Izv., Phys. Solid Earth 45, 258–271 (2009). https://doi.org/10.1134/S1069351309030070

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