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] 0701[理学-数学] 070101[理学-基础数学] 

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 *** first give the mathematical proof that a uniaxial compression test provides only four independent strain *** a result,the exact determination of all five independent elastic constants from only one test is not *** 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 *** formulae are then developed to calculate both secant and tangent definitions of the five elastic constants from a minimum of four strain *** 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 *** 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.