Statistical Correlation between Petrographical and Physico-Mechanical Properties of Kaimur Sandstone

Abstract

Present work is carried out on the sandstone rocks of Kaimur Group, Mirzapur district, India. The rock samples of Dhandraul sandstone and Scarp sandstone were collected from different locations, prepared for thin section study and laboratory tests. The quantification of mineral composition was done through Modal composition analysis using traditional point counting method and the image analysis of thin sections was carried out to determine the petrographical parameters (Grain Area Ratio, packing density, form factor). The properties of 32 rock samples were determined and an attempt has been made to establish correlation between petrographical parameters and physical & mechanical properties including porosity, density, specific gravity, uniaxial compressive strength, slake durability index & Young's modulus. Simple linear regression model is used to establish the correlation between the parameters. The mean absolute error (MAE) of the predicted equations ranges from 0.01 to 5.5. The pvalue of predicted equations is less than 0.05, deciphering statistically significant correlation. These correlation equations can serve as vital tool in quick forecasting of mechanical properties of sandstones and for estimating design and stability costs of tunnels and bridges.