A mathematical model for estimation of amber placer reserves using the continuous kriging method

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Authors:

M.H. Lustyuk, Dr. Sci. (Tech.), Associate Professor, Private Higher Educational Institution “European University”, Rivne, Ukraine

V.M. Dyakon, Cand. Sci. (Phys.-Math.), Associate Professor, Private Higher Educational Institution “European University”, Rivne, Ukraine

V.P. Rachkovsky, Cand. Sci. (Tech.), National University of Water Management and Nature Resources Use, Senior Lecturer of the Department of Minerals Development and Technology of Inorganic Substances, Rivne, Ukraine

Abstract:

Purpose is to develop a theory for assessment of amber placers that is based on the advantages of the continuous kriging method. This allows re-estimating the reserves of amber in order to increase them.

Methodology. This method supposes that a weight providing the minimum variance of the average content is assigned to the content of each sample. The mass of samples is determined by the methods of geostatistics taking into account geometric shape, size and arrangement of samples and the estimated block. In general, the closer the sample is to the center of the block, the bigger weight is assigned to.

Findings. The assessment of reserves by the continuous kriging method has been proposed on the basis of industrial implementation of the mechanical-hydraulic testing on Klesivske amber deposit in the Rivne region.

Originality. We have considered the mathematical model of continuous kriging that provides the estimation of average amber contents in blocks, prospected by the method of extraction chambers mined out by mechanical and hydraulic mining, prospecting shafts or wells of large diameter, and clarifies the evaluation average mineralization in the block.

Practical value. The main practical importance of kriging consists in the ability to avoid systematic errors in estimates of the average value of content-rich blocks that are closely related to the problem of outstanding samples, which often arises during exploration of amber placers of the Rivne region.

 

References:

 

1. Лустюк М.Г. Автоматизована система оцінки запасів корисних копалин / М.Г. Лустюк // – Рівне: Вісник РДТУ, 2005. – №1(29). – С. 123–127.

 

Lustyuk, M.H. (2005), “Automated evaluation of mineral resources reserves”, Bulletin RDTU, no.1(29), pp. 123–127.

 

2. Авдонин В.В. Поиски и разведка месторождений полезных ископаемых / Авдонин В.В., Ручкин Г.В., Шаталин Н.Н. – М.: Академпроект, 2007. – 540с.

 

Avdolin, V.V., Ruchkin, G.V. and Shatalin, N.N. (2007), Poiski i razvedka mestorozhdeniy poleznykh iskopayemykh [Prospecting and Exploration of Mineral Resources], Akademproekt, Moscow, Russia.

 

3. Власюк А.П. Математичне і комп’ютерне моделювання оцінки запасів сипучих корисних копалин та процесу їх видобутку / А.П. Власюк // Abstracts of International Conference “Problems of decision making under uncertainties“ (PDMU-2005) –  Berdyansk, 2005. – С. 107–109.

 

Vlasyuk, A.P. (2005), “Mathematical and computer modeling of evaluation of bulk minerals and process of its production”, Abstracts of International Conference “Problems of decision making under uncertainties“ (PDMU-2005), Berdyansk, Ukraine, pp. 107–109.

 

4. Рачковський В.П. Комп’ютерне моделювання оцінки запасів сипучих корисних копалин та процесу їх видобутку / В.П. Рачковський // Зб. наук. Праць Х Міжнар. конф. – К.: Європ. ун.-т., 2005. – №2. – С. 205–208

 

Rachkovskyi, V.P. (2005), “Computer simulation of evaluation of bulk minerals reserves and process of their output”, Proc. of the 10-th Int. Conf., No.2, European University, Kyiv, Ukraine, pp. 205–208.

 

5. Минеральные ресурсы Украины. Современные проблемы и факторы развития минерально-сырьевого комплекса Украины / И.М. Гавриленко, Е.А. Кулиш, А.И. Зарицкий, В.С. Мищенко. – К.: Изд-во ГОСКОМГЕОЛОГИИ Украины, 1993. – 122 с.

 

Gavrilenko I.M., Kulish, Ye.A., Zaritskiy, A.I. and Mishchenko, V.S. (1993), Mineralnye resursy Ukrainy. Sovremennye problemy i faktory razvitiya mineralno-syryevogo kompleksa Ukrainy [Mineral Resources of Ukraine. Contemporary Issues and Factors for Development of Mineral Resources Sector of Ukraine], GOSCOMGEOLOGIYA, Kyiv, Ukraine

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ISSN (print) 2071-2227,
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