SOLVING INVERSE PROBLEMS OF GRAVIMETRY BY MATHEMATICAL STATISTICS METHODS
https://doi.org/10.21285/2541-9455-2018-41-4-67-78
Abstract
The purpose of this article is to study the possibilities of mathematical statistics methods under the quantitative interpretation of gravity anomalies. The study uses dispersion and regression methods of mathematical analysis for gravitation field transformation and inversion on example of the Bogdoulin granitoid massif (Mongolia) with the abnormally high content of rare and non-ferrous metals (Sn, Zn, W). As a result, quantitative characteristics of the massif thickness have been obtained as well as the data on the morphological features of its shape. The maximum thickness of granitoids is 12 km. The obtained estimates are confirmed by the results of solving the inverse problem of gravimetry by the method of model selection. Therefore, the application of methods of mathematical statistics for determining intrusive body morphology allows to obtain petrophysical models of geological objects coinciding with the results of quantitative interpretation performed with the use of the program of semi-automatic 3D-Markquardt-inversion of the gravitational field.
About the Authors
V. Kanaikin
Irkutsk National Research Technical University
Russian Federation
Russian Federation
Associate Professor of the Department of Applied Geology, Geophysics and Geoinformation Systems of the Institute of Subsoil Use
83 Lermontov St., Irkutsk 664074, Russian Federation
E. Turutanov
Institute of the Earth’s crust SB RAS
Russian Federation
Russian Federation
Dr. Sci. (Geology and Mineralogy), Head of the Laboratory of Complex Geophysics
tel.: 8 (3952) 428792
128 Lermontov St., Irkutsk 664033, Russian Federation
B. Buyantogtokh
Institute of Astronomy and Geophysics MAS
Mongolia
Mongolia
Postgraduate, Scientific Researcher
tel.: 8 (97611) 458024
42 J. Lhagaasurengiin, Ulaanbaator 13343, Mongolia
References
1. Devis Dzh. Statistics and data analysis in geology, 1977, 600 р. (Russ. ed.: Devis Dzh. Statistika i analiz geologicheskikh dannykh. Moscow: Mir Publ., 600 р.).
2. Nikitin A.A. Teoreticheskie osnovy obrabotki geofizicheskoi informatsii [Theoretical principles of geophysical information processing]. Moscow: Nedra Publ., 1986, 337 р. (In Russian).
3. Marinov N.A., Khasin R.A., Khurts Ch. Geologiya Mongol'skoi Narodnoi Respubliki [Geology of the Mongolian People's Republic]. Vol. III. Poleznye iskopaemye [Mineral Resources]. Moscow: Nedra Publ., 1977, 703 р. (In Russian).
4. Turutanov E.Kh. Morfologiya mezozoiskikh granitnykh plutonov Mongolii po gravimetricheskim dannym [Morphology of Mongolian Mesozoic granite plutons according to gravimetric data]. Irkutsk: Irkutsk State Technical University Publ., 2012, 223 р. (In Russian).
5. Dugaraa P., Arvisbaatar N. Petroplotnostnaya kharakteristika porod Zhanchivlanskogo rudnogo uzla i ego okrestnostei [Petro-density characteristics of rocks of the Zhanchivlansky ore cluster and its environs]. Voprosy geologii i poleznykh iskopaemykh Tsentral'noi i Vostochnoi Mongolii [Problems of Geology and Minerals in Central and Eastern Mongolia]. Ulanbaatar: National University of Mongolia Publ., 1982, рр. 11–13. (In Russian).
6. Dzhurik V.I., Klyuchevskii A.V., Serebrennikov S.P., Dem'yanovich V.M., Batsaikhan Ts., Bayaraa G. Seismichnost' i raionirovanie seismicheskoi opasnosti territorii Mongolii [Seismicity and seismic hazard zoning of Mongolian territory]. Irkutsk: Institute of the Earth’s crust SB RAS Publ., 2009, 420 р. (In Russian).
7. Vakhromeev G.S. K voprosu formirovaniya fiziko-geologicheskikh modelei mestorozh-denii poleznykh iskopaemykh Mongol'skoi Narodnoi Respubliki [On formation of physico-geological models of mineral deposits of the Mongolian People's Republic]. Voprosy geologii i metallogenii Vostochnoi Mongolii [Problems of Geology and Metallogeny of Eastern Mongolia]. Ulanbaatar: National University of Mongolia Publ., 1979, pp. 236–244. (In Russian).
8. Kanaikin V.S., Turutanov E.Kh., Buyantogtokh B. Application of regression and variance analyses for gravimetry data interpretation. Izvestiya Sibirskogo otdeleniya Sektsii nauk o Zemle Rossiiskoi akademii estestvennykh nauk. Geologiya, razvedka i razrabotka mestorozhdenii poleznykh iskopaemykh [Proceedings of the Siberian Department of the Section of Earth Sciences of the Russian Academy of Natural Sciences. Geology, Exploration and Development of Mineral Deposits], 2018, vol. 41, no. 1, рр. 115–125. (In Russian).
9. Webring M. Semi-automatic Marquardt inversion of gravity and magnetic profiles // U.S. Geological Survey Open-File Report OF 85-122.
10. Forsait Dzh., Mal'kol'm M., Mouler K. Machine methods of mathematical calculations, 1980, 280 р. (Russ. ed.: Mashinnye metody matematicheskii vychislenii. Moscow: Mir Publ., 1980, 280 р.).
Review
For citations:
Kanaikin V., Turutanov E., Buyantogtokh B. SOLVING INVERSE PROBLEMS OF GRAVIMETRY BY MATHEMATICAL STATISTICS METHODS. Earth sciences and subsoil use. 2018;41(4):67-78. (In Russ.) https://doi.org/10.21285/2541-9455-2018-41-4-67-78
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