Development of the Finite-Element Technologies in Quantitative Interpretation of Geopotential Fields

  • P. I. Balk
  • A. S. DolgalEmail author
Conference paper
Part of the Springer Proceedings in Earth and Environmental Sciences book series (SPEES)


Brief description of the assembly method for solving the inverse problem of gravimetry and assessing the reliability confidence validity credibility of interpretational constructions based on the guaranteed approach is presented. It is suggested to estimate the probability of detecting the sources of geopotential fields within the studied geological space by analyzing the variety of the probable interpretations and, then, to use this distribution for criterion-based selecting the model carriers of mass. The synthetic examples of modeling the anomalous disturbing objects are presented.


Gravimetry Interpretation Assembly algorithm Reliability confidence validity credibility 


  1. Ovcharenko, A.V. (1975), Fitting the cross-section of a 2D body based on the gravity field, Vopr. Neft. Rud. Geofiz., Alma-Ata: Kazakh. politekh. inst., 1975, vol. 2, pp. 71–75.Google Scholar
  2. Strakhov, V.N. and Lapina, M.I. (1976), Assembly method for solving the inverse problems of gravimetry, Proc. Acad. Sci. USSR, 1976, vol. 227, no. 2, pp. 344–347.Google Scholar
  3. Balk, P.I. (1980), On the reliability of the results of quantitative interpretation of gravity anomalies, I Proc. Acad. Sci. USSR, Phys. Earth, 1980. no. 6, pp. 43–57.Google Scholar
  4. Balk, P.I., Dolgal, A.S., and Khristenko, L.A. (2012), Localization of geological objects based on the data of gravity prospecting with incomplete information about the density of rocks, Dokl. Earth Sci., 2012, vol. 442, no. 2, pp. 262–266.CrossRefGoogle Scholar
  5. Dolgal, A.S. and Sharkhimullin, A.F. (2011), The increase of the interpretation accuracy for monogenetic gravity anomalies, Geoinformatika, 2011, no. 4, pp. 49–56.Google Scholar
  6. Balk, P.I. and Dolgal, A.S. (2016), Additive technologies of quantitative interpretation gravitational anomalies, Geofizika, 2016, no. 1, pp. 43–47.Google Scholar
  7. Balk, P.I. and Dolgal, A.S. (2015), A minimax approach to the solution of inverse problems of gravity and magnetic prospecting, Dokl., Earth Sci., 2015, vol. 462, no. 2, pp. 648–652.CrossRefGoogle Scholar
  8. Balk, P.I. and Dolgal, A.S. (2017), Inverse problems of gravity prospecting as a decision-making problem under uncertainty and risk, Izv., Phys. Solid Earth, 2017, vol. 53, no. 2, pp. 214–229.CrossRefGoogle Scholar
  9. Balk, P.I. and Dolgal, A.S. (2017), New possibilities for increasing the informativity of quantitative interpretation of gravity anomalies, Dokl., Earth Sci., 2017, vol. 476, no. 4, pp. 461–465.Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of Applied GeodesyBerlinGermany
  2. 2.Perm Federal Research Center, Ural Branch, Russian Academy of SciencesPermRussia

Personalised recommendations