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ACCURACY INCREASE OF INDICATOR KRIGING
Abstract
Currently, one of actual problems of exploration geology and mining, while estimating and exploiting mineral deposits, is to improve the accuracy and reliability of minerals contouring. This problem applies both to the deposit contouring in general, and to the contouring of various interested areas within ore bodies - waste rocks, various natural ore types and technological ore grades etc. In order to solve this problem, geostatistical method of spatial variable study - indicator variogram and indicator kriging is often used. In this article, in order to solve this problem, stochastic transition probability matrices are proposed to use, where similar to indicator variogram, binary data, obtained either from continuous spatial variables based on some indicator, or spatial variables originally defined as 0 and 1, are used. On the basis of theoretical and experimental research, the functional relationship between elements of stochastic matrices and indicator variograms is proved. This article shows that indicator variogram is an integral assessment, which includes two types of connections. Differentiated accounting of these types of connections allowed to present a new, more flexible indicator kriging. The efficiency and accuracy of obtained kriging is higher in comparison with classical indicator kriging, the higher is the difference between the unconditional probabilities of binary spatial variable consisting of 0 and 1.
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