Correlation between Static and Dynamic Young’s Modulus of Elasticity of Different Types of Rocks

Abstract

Correlation between static and dynamic elastic modulus in rocks has often been addressed in various studies. In this study, the correlation between the static and dynamic elastic modulus of six different sedimentary, metamorphic and igneous rock types namely coarse-grained sandstone, fine-grained sandstone, schist, quartzite, basalt and granite are studied. Physical properties such as bulk density and porosity are evaluated of all samples. Static elastic modulus is determined by uniaxial compression test and dynamic elastic modulus is found out by ultrasonic pulse velocity testing. Scanning Electron Microscope experiment, X-Ray Diffraction experiment are also conducted on all the samples for mineralogical and petrological studies. The individual correlation between the static and dynamic elastic modulus of all the rock types have been proposed using linear regression with zero intercept and high values of coefficient of determination. These equations are useful in calculating the static elastic modulus using non-destructive techniques, in a wide range of rock materials. Finally, a general linear equation has been developed to relate ratio of static and dynamic elastic modulus with density of the rock.