Zastosowanie analizy planimetrycznej w badaniach geologicznych – eksperymenty i spostrzeżenia
Planimetric analysis is a well-known and commonly used method for determining the content of a given component in the area of the analyzed surface. In geology, it is used to determine both the mineral and maceral composition, and its results are helpful in solving a wide range of research problems. The aim of this study was to investigate the relationships between the obtained results of planimetric analysis and the density of the measurement grids, which can be adapted to specific situations in geological samples in order to optimize the ratio of the accuracy of the result to the time of analysis. The research was divided into two stages. Models were used in the first stage, while in the second, coal samples were investigated. In the first stage, a virtual grid of measurement points with dimensions of 100 by 100 points was created, which gave a total of 10 000 points. After creating the measurement grid model, 102 scenarios were established, differing in the content of the analyzed component A (0.1%, 0.5% and from 1 to 100%). In each of the adopted scenarios, 100 combinations were carried out so that the arrangement of points on the measurement grid corresponding to component A was random. Then, the number of measuring points was reduced several times from the original 10 000 to 100 and each time content of component A was calculated. The obtained average component A content in most cases turned out to be only slightly different from the original, which cannot be stated in the case of both minimum and maximum values – here a wider range of results is observed. In the second stage, 3 coal samples of varying maceral composition complexity were investigated and a measurement grid of 100 by 100 points was used. The original grid density was gradually reduced (down to 144 points) and maceral composition was calculated each time. Results obtained from models as well as from samples show a clear trend of decreasing accuracy with decreasing density of the measuring grid. The obtained results were also analyzed in terms of the established acceptance criteria for which the content of the component was assumed to be different from its content based on a grid of 10 000 points by up to 5%, 10% or 30% of the original value. The analysis of the relationship between the accuracy of the obtained results and the time of conducting the analysis seems to indicate that the choice of the measurement grid based on 500 points is optimal.