Investigation of suitability of marbles to standards with inequality expressions and statistical approach using some physical and mechanical properties

Abstract

Abstract Marble, one of the metamorphic rock formation products, forms by undergoing different physical and chemical processes. The marble samples are tested under laboratory conditions to understand these processes. This study aims to find whether the Akcay region marble (Antalya) is compatible with national and international standards using some physical and mechanical properties. For this purpose, samples were subjected to some laboratory tests (real density, apparent density, total porosity, open porosity, breaking load, compressive strength, flexural strength, rupture energy). A number of statistical findings, linear equations, inequalities, and spatial distribution maps were obtained from the physical and mechanical data found at the end of the laboratory tests. The variables which were found to be statistically significantly correlated according to the results of the correlation analysis were analyzed using regression analysis; then their distributions were explained using linear equations. The spatial distribution maps of the variables reveal the part corresponding to the symbol color ranging between the light green and yellow and covering almost 70% of the area is compliant with both TurkStat and ASTM standards and this is proved using the inequalities.

Keywords

• Statistical analysis
• Inequalities expression
• Physical property
• Mechanical property
• Marble