A practical application of geostatistical methods to quality and mineral reserve modelling of cement raw materials
T.Y. Yunsel
Estimation techniques such as polygonal, triangular prism,
trapezoid, isopach maps, and inverse distance methods are often
used in ore or industrial minerals deposit evaluation. These
techniques do not express the variability of the deposit and do not
allow a determination of the reliability of the estimates. However,
geostatistical methods can express a measure of the error associated
with the estimates, by finding weighting coefficients for a given
mining block, and can also help with data configuration that
minimizes the error. This work addresses an application study on
the quality and reserve characteristics of the cement raw materials
of the Adana Cement Factory in Adana, Turkey, based on the spatial
distribution and variability of the chemical components (SiO2, CaO,
Al2O3, Fe2O3). The study has been carried out using a geostatistical
procedure that is useful for site assessment, characterization, and
monitoring situations where data are collected spatially. Directional
and omnidirectional experimental variograms of the cement raw
material variables showed that neither strong geometric nor severe
zonal anisotropy exists in the data. The most evident spatial
dependence structure expressing the continuity for omnidirectional
experimental variograms were characterized by exponential and
spherical variogram models. These models have been used in crossvalidation
analysis, which proved that these models, their
parameters, and kriging parameters are applicable for the study
area. Quality contour maps of the deposits at given levels
underground were estimated using a kriging interpolation
technique. Anomalies such as bullseyes and drift were not observed
in the maps that were generated. Kriged maps showed the spatial
distribution of quality continuity and variability of the deposits.
Grade-tonnage curves and total tonnage estimates in the particular
grade were determined using ordinary kriging in order to improve
the mining operation and planning. Consequently, local uncertainty
and the probability of extreme values occurring are tools of prime
importance for the mine planning, the optimum mix of raw
materials coming from different quarry stopes.
Keywords: cement raw materials, geostatistics, variogram, quality and reserve
estimation, kriging.