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Controversial points in the methodology of modern interpretation theory of gravity anomalies and the ways to resolving contradictions

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Abstract

The fact that most of the basic points in the methodology of interpretation theory of gravity anomalies are inadequate to the targeted intention—to extract the maximal volume of reliable information about the sources of the field—has barely been noticed so far. It is established that objectivation of the real possibilities of gravimetry in the particular conditions of interpretation is mainly blocked by the contradiction between the objective existence of a variety of a priori equivalent variants of the interpretation, on one hand, and the desire to describe its structure by a single element, the “optimal” solution of the inverse problem, on the other hand. A complete, to any extent, solution of the problem of reliability of the information retrieved from the gravimetry data can only be obtained in the case if the results of the interpretation contain the information about the properties of the studied object that is consistent with all the admissible solutions of the inverse problem. The informativity of conventional representations of the results of interpretation is assessed in comparison to the informativity of the alternative representations.

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References

  • Balk, P.I., On reliability of the results of quantitative interpretation of gravity anomalies, Izv. Akad. Nauk SSSR, Fiz. Zemli, 1980, no. 6, pp. 65–83.

    Google Scholar 

  • Balk, T.V., On estimating the reliability of gravity anomaly interpretation by the method of prisms with varying density, Geol. Geofiz., 1981, no. 4, pp. 119–125.

    Google Scholar 

  • Balk, T.V., Novoselova, M.R., Balk, P.I., and Turutanov, E.Kh., On the accuracy of determining the bottom boundary of a geological object from gravity data, Izv. Akad. Nauk SSSR, Fiz. Zemli, 1988, no. 3, pp. 81–86.

    Google Scholar 

  • Balk, P.I., The conflict of geophysical and mathematical interests as a main source of contradictions in the modern theory of interpretation of potential fields, Geofiz. Zh., 2000, vol. 22, no. 4, pp. 3–20.

    Google Scholar 

  • Balk, P.I., On fundamental shortcomings inherent in conventional representation of the mathematical interpretation results for the potential fields, Geofiz. Zh., 2004, vol. 26, no. 5, pp. 124–132.

    Google Scholar 

  • Balk, P.I. and Dolgal, A.S., Deterministic approach to the problem of reliability in interpretation results of gravimetric data, Dokl. Earth Sci., 2010, vol. 431, no. 1, pp. 334–338.

    Article  Google Scholar 

  • Balk, P.I., A priori information and admissible complexity of the model of anomalous objects in the solution of inverse problems of gravity, Izv., Phys. Solid Earth, 2013, vol. 49, no. 2, pp. 165–176.

    Article  Google Scholar 

  • Dolgal, A.S., Balk, P.I., Demenev, A.G., Michurin, A.V., Novikova, P.N., Rashidov, V.A., Christenko, L.A., and Sharkhimullin, A.F., The finite-element method application for interpretation of gravity and magnetic data, Vestn. KRAUNTs, 2012, vol. 1, no. 19, pp. 108–127.

    Google Scholar 

  • Kantorovich, L.V., On some new approaches in computational methods and data processing, Sib. Matem. Zh., 1962, vol. 3, no. 5, pp. 701–709.

    Google Scholar 

  • Kostomarov, D.P., Zaitsev, F.S., and Suchkov, E.P., Construction of substantially different solutions for a certain class of ill-posed problems with approximately set input data, Dokl. Physics, 2011, vol. 56, no. 3, pp. 145–149.

    Article  Google Scholar 

  • Strakhov, V.N. and Lapina, M.I., Assembly method for solving gravimetric inverse problem, Dokl. Akad. Nauk SSSR, Fiz. Zemli, 1976, vol. 227, no. 2, pp. 344–347.

    Google Scholar 

  • Strakhov, V.N., Geophysics and mathematics, Izv., Phys. Solid Earth, 1995, no. 12, pp. 4–23.

    Google Scholar 

  • Strakhov, V.N., Geophysics and mathematcs. Methodological basis of mathematical geophysics, Geofizika, 2000, no. 1, pp. 3–18.

    Google Scholar 

  • Strakhov, V.N., Breaking the predominant stereotypes of thinking: The key challenge in the development of the theory and practice of potential field interpretation in the beginning of 21 century, Geofizika, 2001, no. 1, pp. 3–18.

    Google Scholar 

  • Tikhonov, A.N. and Arsenin, V.Ya., Metody resheniya nekorrektnykh zadach (Methods for Solving Ill-Posed Problems), Moscow: Nauka, 1979.

    Google Scholar 

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Original Russian Text © P.I. Balk, 2014, published in Fizika Zemli, 2014, No. 2, pp. 199–210.

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Balk, P.I. Controversial points in the methodology of modern interpretation theory of gravity anomalies and the ways to resolving contradictions. Izv., Phys. Solid Earth 50, 192–202 (2014). https://doi.org/10.1134/S1069351314020025

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  • DOI: https://doi.org/10.1134/S1069351314020025

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