Doklady Earth Sciences

, Volume 476, Issue 1, pp 1054–1057 | Cite as

Analytical continuation of gravitational and magnetic fields through masses

Geophysics

Abstract

A new method of analytic continuation of gravitational and magnetic fields, which is based on the theory of continued fractions, is proposed. The method allows calculation of the geophysical fields of various origins by their measurements on the surface at depths above and below the sources of anomalies, as well as direct determination of the depth and forms of these sources without a priori information. The calculation results are given in examples of theoretical models, which prove the efficiency of the method.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    B. A. Andreev and I. G. Klushin, Geological Interpretation of Gravitational Anomalies (Gostoptekhizdat, Leningrad, 1962) [in Russian].Google Scholar
  2. 2.
    G. A. Baker, Jr. and P. R. Graves-Morris, Padé Approximants (Cambridge Univ. Press, Cambridge, 1996).CrossRefGoogle Scholar
  3. 3.
    I. N. Bekman, Radiochemistry 41 (2), 141–148 (1999).Google Scholar
  4. 4.
    K. M. Ermokhin, Geoinformatika, No. 2, 51–60 (2010).Google Scholar
  5. 5.
    V. N. Strakhov, Extended Abstract of Candidate’s Dissertation in Engineering (Inst. Physics Earth USSR Acad. Sci., Moscow, 1962).Google Scholar
  6. 6.
    Analytical Continuation of Potential Fields. Gravitational Survey. Handbook for Geophysicist, Ed. by E. A. Mudretsova and K. E. Veselov, (Nedra, Moscow, 1990) [in Russian].Google Scholar
  7. 7.
    P. K. Suetin, Classical Orthogonal Polynomials (Nauka, Moscow, 1979) [in Russian].Google Scholar
  8. 8.
    G. L. Litvinov, Cent. Eur. J. Math., No. 1, 36–60 (2003).CrossRefGoogle Scholar
  9. 9.
    M. S. Zhdanov, Xiaojun Liu, G. A. Wilson, and Le Wan, Geophys. Prospect. 59, 1052–1071 (2011).CrossRefGoogle Scholar
  10. 10.
    M. S. Zhdanov, Hongzhu Cai, and G. A. Wilson, Geophys. J. Int. 189, 1361–1368 (2012).CrossRefGoogle Scholar
  11. 11.
    Montaj Geophysycs. Ver. 6.2. User’s Guide (2007). http://www.geosoft.com.Google Scholar
  12. 12.
    B. Viskovatov, Mem. Acad. Imp. Sci. St.-Petersbourg, No. 1, 226–247 (1805).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.St. Petersburg Branch, Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave PropagationRussian Academy of SciencesSt. PetersburgRussia

Personalised recommendations