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EN
Compositional data consist of compositions of parts summing to some whole (e.g.: 100%, 1). Such "closed" data are very popular in geochemistry, sedimentology, hydrogeology and environmetrics. This paper presents the data visualization method by means of the biplot method - a statistical technique widely applied in Compositional Data Analysis. This method enables a graphical display of observations and variables on the same chart, in a way that approximates their correlation. In a biplot the observations are marked with points, and variables - by rays emanating from the origin. Both their lengths and directions are important to the interpretation. The paper presents two examples of implementation of biplots in analysis of hydrogeological and petrological data. The first example concerns petrological data set for pores and skeleton grains of different Polish sandstones. The biplot visualization unveiled a possible independence of subcompositions of transitional pores (T) and macropores (R), as well as submacropores (S) and skeleton grains (Re). The use of this method made it also possible to demonstrate the rule according to which the share of transitive pores decreases at the advantage of real macropores from younger to older rocks, what is related to diagenesis processes. The second example concerns interpretation of hydrological data on chemistry of mine water of the "Rydułtowy" coal mine. In this case the graphical interpretation of biplot revealed large relative variation between HCO3 –-Cl–, HCO3–-I – and HCO3–-Na+. Besides, on the same basis, possible independence between the ion couples: HCO3--Br–, Ca2+-Na+, HCO3–-Cl–, Br-Na+, HCO3–-Cl–and Ca2+-K+ was identified and consequently verified using statistical tests. Additionally, taking into account geometrical features of the relevant biplot, a formula was proposed for defining relationships between shares of ions: Ca2+, Mg2+, Na+ and Cl–<.sup>, SO42–, HCO>sub>3–. These relationships are most apparent for poly-ion groundwater of the active exchange zone, where the ratios of the above mentioned components are similar to each other, despite a slight predominance of SO42– and HCO3– fractions.
PL
Podjęte badania miały na celu sprawdzenie możliwości zastosowania komputerowej analizy obrazu do określenia wielkości porowatości dla skał okruchowych, na przykładzie próbek piaskowców o różnym uziarnieniu.Analizy przeprowadzono przy użyciu dwóch powiększeń; 100x i 200x. Przedstawiono zastosowany tok postępowania i przykładowe ujęcie graficzne jednego z uzyskanych parametrów. Problemem w tej metodzie może być dobór odpowiedniej techniki wykonywania pomiarów, np. właściwego wyboru obszarów, będących porami w obrębie próbek skał.
EN
Presented study was undertaken to testify the possibility of applying computer image analysis to determinate the porosity volume in sedimentary rocks. Samples of sandstones of different grains sizes were used for the examination.There are used 100x and 200x magnifications. In the paper there is presented the scheme of the method and the example of graphic presentation of one of the parameters.The problem in the analyzing is the proper measuring method selection, what could be, in the case presented, the proper area selection.
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