The construction of the graphical image of the target functional and its use for the search for multivariant solutions of the inverse magneto-prospecting problem
DOI:
https://doi.org/10.24028/gzh.0203-3100.v39i6.2017.116380Keywords:
the inverse problem, magnetic anomaly, magnetic model, the automated selection, target functionality, cards of projectionsAbstract
For practical applications, we propose a technology for searching ordered sets of feasible solutions of the inverse magneto-prospecting problem. It is oriented towards using the elements of the guarantee approach, which is realized due to the construction and analysis of fairly broad communities of approximately equivalent solutions. One of the possible variants of this approach is considered, based on the idea of constructing the graphic structure of the target functional involved in the algorithms for automated selection. The necessary information is represented in the form of maps of the projection of the graphic structure. A technique for constructing such maps has been developed. The features of their application for organizing a purposeful search for the set of admissible solutions of the inverse problem are considered. An example of a multivariate approach for interpreting anomaly observations is given.
References
Balk P. I., 1980. On the reliability of the results of quantitative interpretation of gravitational anomalies. Fizika Zemli (6), 43—57 (in Russian).
Balk P. I., Dolgal A. S., 2012. Inverse problems of gravimetry as the problem of extracting reliable information in conditions of uncertainty. Fizika Zemli (5), 85—101 (in Russian).
Bulakh Ye. G., 2010. Direct and inverse problems of gravimetry and magnetometry. Kiev: Naukova Dumka, 463 p. (in Russian).
Bulakh Ye. G., Zeygelman M. S., Korchagin I. N., 1986. Automated selection of gravitational and magnetic anomalies: software and algorithmic support and methodological recommendations. Kiev, 236 p. Depositor in the VINITI 08.12.86. No 8363 (in Russian).
Zeygelman M. S., 1983. One type of equivalence in estimating the depth of occurrence of magnetized masses. Doklady AN USSR. Ser. B (8), 10—13 (in Russian).
Zeygelman M. S., 1989. Search for guaranteed solutions for automated selection of magnetic anomalies. Geofizicheskiy zhurnal 11(6), 67—76 (in Russian).
Zeylgelman M. S., 2005. The search technology of a representative sample of equivalent solutions for the interpretation of magnetic anomalies. In: Theoretical and applied aspects of geoinformatics. Collection of scientific works. Kyiv: Karbon-ltd, P. 166—172 (in Russian).
Korchagin I. N., 1978. To the problem of selection of parameters of a prismatic body by an anomalous gravitational field by the minimization method. In: New methodological developments in geophysics. Kiev: Naukova Dumka, P. 91—97 (in Russian).
Landa E. I., 1978. To the estimation of parameters of low-amplitude fault by optimization method. Geologiya i geofizika (7), 80—89 (in Russian).
Pashko V. F., Starostenko V. I., 1982. Methods for solving direct and inverse problems of gravimetry and magnetometry on a computer (based on foreign publications). Overview of information. Ser. Regional, exploration and field geophysics. Moscow: VIEMS, 93 p. (in Russian).
Starostenko V. I., 1978. Stable numerical methods in problems of gravimetry. Kiev: Naukova Dumka, 228 p. (in Russian).
Starostenko V. I., Legostaeva O. V., Makarenko I. B., Savchenko A. S., 2015. Software system for automated interpretation of potential field (GMT-Auto). Geofizicheskiy zhurnal 37(1), 42—52 (in Russian). doi: https://doi.org/10.24028/gzh.0203-3100.v37i1.2015.111322.
Strakhov V. N., Lapina M. I., 1975. Approximate equivalence and its use in solving the direct and inverse problems of gravimetry and magnetometry. In: Applied Geophysics. Moscow: Nedra, P. 149—176 (in Russian).
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