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Kriging – od górniczej praktyki poprzez teorię do zastosowań środowiskowych

Zawadzki Jarosław

Systemy Wspomagania w Inżynierii Produkcji

2020

Vol.9, iss. 2

182--193

W artykule w przystępny sposób przedstawiono wybrane zagadnienia związane z metodą krigingu zwyczajnego, szeroko wykorzystywaną do estymacji zasobów górniczych. W szczególności opisano te jej właściwości, które choć zazwyczaj mniej znane to decydują o przydatności tej metody i umożliwiają kontrolę dokładności uzyskanych wyników. Szczególną uwagę poświęcono zastosowaniom roli wariancji krigingu, będącej miarą dokładności wyników otrzymanych za pomocą metody krigingu, oraz możliwości jej zastosowania do planowania sieci pomiarowych.

The article presents, in an approachable way, selected issues related to the method of the ordinary kriging, which is widely used for the estimation of mining resources. In particular, such properties of the ordinary kriging were described, which are usually less known but determine its usefulness and accuracy. Particular attention was paid to the role of kriging variance, which is a measure of the accuracy of results obtained using the ordinary kriging. The possibility of using the kriging variance for planning measurement networks was also discussed.

Geostatistical analysis of variability of silica dioxide content within limestone deposit

Świtoń J. M.

Mining Science

2015

Vol. 22, Special Issue 2

181--193

In the following paper, the geostatistical analysis of qualitative parameter within a limestone deposit was presented. The parameter was content of silica dioxide. Geostatistical analysis was carried out in order to identify variability of the parameter, what significantly influenced ore exploration. Sampling data was considered with regards to descriptive statistics; logarithmical character of parameter’s distribution was indicated. After logarithmical transformation omnidirectional semivariograms were calculated due to the fact that directional anisotropy was not proven. Few theoretical models were fitted to the semivariogram, further on they were verified by means of cross-validation method. Estimation results were obtained by lognormal ordinary kriging technique. They did not confirm that models classified during cross-validation as best fit are also most reliable during estimation. It is recommended to continue research on variability of parameters within the limestone deposit, including analysis conducted by indicator kriging technique. All stages of geostatistical analysis were carried out in Isatis software.