A methodology to determine the elastic properties of anisotropic rocks from a single uniaxial compression test

作     者：Morteza Nejati Marie Luise Texas Dambly Martin OSaar 

作者机构：Department of Earth SciencesETH ZurichZurichSwitzerland Geothermal Energy and GeofluidsDepartment of Earth SciencesETH ZurichZurichSwitzerland 

出 版 物：《Journal of Rock Mechanics and Geotechnical Engineering》 (岩石力学与岩土工程学报（英文版）)

年 卷 期：2019年第11卷第6期

页      面：1166-1183页

核心收录：

学科分类：07[理学] 0818[工学-地质资源与地质工程] 0815[工学-水利工程] 0813[工学-建筑学] 0814[工学-土木工程] 0701[理学-数学] 

基　　金：financially supported by the Swiss Innovation Agency Innosuisse ispart of the Swiss Competence Center for Energy Research-Supply of Electricity (SCCER-SoE) the Werner Siemens Foundation ETH Zurich for their financial support 

主　　题：Transversely isotropic rock Elastic constants Young’s modulus Poisson’s ratio Seismic anisotropy Uniaxial compression Granite 

摘      要：This paper introduces a new methodology to measure the elastic constants of transversely isotropic rocks from a single uniaxial compression test.We first give the mathematical proof that a uniaxial compression test provides only four independent strain equations.As a result,the exact determination of all five independent elastic constants from only one test is not possible.An approximate determination of the Young’s moduli and the Poisson’s ratios is however practical and efficient when adding the Saint-Venant relation as the fifth equation.Explicit formulae are then developed to calculate both secant and tangent definitions of the five elastic constants from a minimum of four strain measurements.The results of this new methodology applied on three granitic samples demonstrate a significant stress-induced nonlinear behavior,where the tangent moduli increase by a factor of three to four when the rock is loaded up to 20 MPa.The static elastic constants obtained from the uniaxial compression test are also found to be significantly smaller than the dynamic ones obtained from the ultrasonic measurements.