In recent decades, there has been an active interaction of geological and mathematical sciences. One of the main directions of the introduction of mathematics into geology and the practice of geological exploration is the mathematical modeling of geological objects. In the Kirovsk-Apatit district of the Murmansk region, enterprise the Kirov branch of Apatit, JSC, is developing six fields: Plateau Rasvumchorr, Kukisvumchorrskoe, Yuksporskoe, Apatity circus, Koashviskoye and Nyurpakhskoye. At the moment, Ventyx MineScape (Australia) is actively being implemented in Apatit JSC. This is a set of integrated modules used in mining operations at enterprises conducting open / underground mining of ore deposits. Also at the Mining Institute of the Kola Scientific Center of the Russian Academy of Sciences (Apatity, Murmansk region), the computer modeling system MINEFRAME has been created and constantly improved. Today, it is an integrated software package designed to solve a wide range of geological, mining and technological problems. As example of the Apatite Circus deposit, the prospects of joint use of mining and geological information systems MineScape and MINEFRAME for mathematical modeling of geological objects and a geostatistical description of the spatial distribution of the mineral are shown. The article discusses the results of a geostatistical study of the distribution of the useful component (P 2 O 5 ) within the ore body bounded by the framework model of balance ores from the Apatite circus deposit, and also two block models are constructed. The blocks of the first model were filled using the method of inverse distances, the blocks of the secondby the usual kriging method. At the end of the article, to select the most suitable method for the field, there has been made a comparison between the average contents obtained by using the methods of conventional kriging and inverse distances.
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