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Vol 69 Iss. 2
Pages:
83-91
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RUS
Article

Methodology of fitting geological and structural models according to a given gravity field with the help of enlarged polyhedral elements

Authors:
G. G. Kravtsov
V. I. Segalovich
Date submitted:
1975-08-27
Date accepted:
1975-10-14
Date published:
1976-02-01

Abstract

Most of the methods allow the interpretation of gravitational anomalies by the selection of masses without flexible connection with a priori data on their shape and density. Such an approach cannot be recognized as reasonable because of the uncertainty of the reference level and other reasons of ambiguity of the inverse problem of potential theory. In the framework of testing geologically based hypotheses about the shape and density of structures that are linked in advance to the observed anomalies, we propose, in our opinion, a more rational formulation of the problem. ...

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References

  1. Belogolov V.T. Calculation of magnetic and gravitational fields at approximation of bodies by polygons and polyhedrons. Proc. SibNII Geol., Geophys. and Mineral Raw Materials, iss. 136, Novosibirsk, 1971.
  2. Kravtsov G.G. Algorithm of the modified double simplex method and its use in geophysics. In the book: "Computer Application in Geology and Mining", vol. 1, LMI, 1971.
  3. Kravtsov G.G. Computational schemes for determining the parameters of geologic formations by magnetic and gravitational anomalies using the linear programming method. In the book: "Mathematization and Automation in Geological Investigations (Short Abstracts of Reports for the Meeting)". L., VSEGEI, 1972.
  4. Kudrya A.V., Sergeev V.O., Chernyshev Yu.S. Calculation of the gravitational field for bodies of arbitrary shape. In the book: "Mathematical Problems of Geophysics", vol. 1, Novosibirsk, CC SB AS USSR, 1969.
  5. Kuzmin Yu.I. Calculation of gravitational and magnetic fields for three-dimensional bodies. In the book: Algorithms and programs for processing of geological-geophysical data on computer Minsk-2(22). Alma-Ata, Kazakhsk. Branch of VIRG, 1971.
  6. Nusipov E.N. Calculation of elements of gravitational and magnetic fields for bodies of arbitrary shape. In the book: "New researches in geology", iss. 3. LMI, 1972.
  7. Starostenko V.I. Analytical solution of the direct problem of gravimetry for bodies of complex shape in case of linear change of excess density with depth. FEAN UkSSR, ser. B, 1968, No. 6.
  8. Shalaev S.V. Geological interpretation of geophysical anomalies by means of linear programming. L., Nedra, 1972.

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