Investigation of the relationship between dynamic and static deformation moduli of rocks

• Published in: Geomechanics and geophysics for geo-energy and geo-resources. Vol. 6; no. 1
• Main Authors: Davarpanah, Seyed Morteza, Ván, Peter, Vásárhelyi, Balázs
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.03.2020; Springer Nature B.V
• Subjects: Bulk modulus; Constants; Construction materials; Correlation; Deformation; Elasticity; Energy; Engineering; Environmental Science and Engineering; Foundations; Geoengineering; Geophysics/Geodesy; Geotechnical Engineering & Applied Earth Sciences; Hydraulics; Igneous rocks; Metamorphic rocks; Parameters; Review; Rigidity; Rock mechanics; Sedimentary rocks; Shear modulus; Static deformation; Storage modulus; ); Rock types; Modulus of elasticity; Linear and non-linear correlations; Bulk modulus; Modulus of rigidity
• ISSN: 2363-8419; 2363-8427
• DOI: 10.1007/s40948-020-00155-z

The determination of deformation parameters of rock material is an essential part of any design in rock mechanics. The goal of this paper is to show, that there is a relationship between static and dynamic modulus of elasticity ( E ), modulus of rigidity ( G ) and bulk modulus ( K ). For this purpose, different data on igneous, sedimentary and metamorphic rocks, all of which are widely used as construction materials, were collected and analyzed from literature. New linear and nonlinear relationships have been proposed and results confirmed a strong correlation between static and dynamic moduli of rock species. According to rock types, for igneous rocks, the best correlation between static and dynamic modulus of elasticity ( E ) were nonlinear logarithmic and power ones; for sedimentary rocks were linear and for metamorphic rocks were nonlinear logarithmic and power correlation. Moreover, with respect to different published linear correlations between static modulus of elasticity ( E stat ) and dynamic modulus of elasticity ( E dyn ), an interesting correlation for rock material constants was established. It was found that the static modulus of elasticity depends on the dynamic modulus only with one parameter formula.