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Poroelastodynamic responses and elastic moduli of a transversely isotropic porous cylinder under forced deformation test

作     者:Chao Liu Dung T.Phan Chao Liu;Dung T.Phan

作者机构:Aramco Research Center-HoustonHouston TX 77084USA 

出 版 物:《International Journal of Mining Science and Technology》 (矿业科学技术学报(英文版))

年 卷 期:2023年第33卷第7期

页      面:793-800页

核心收录:

学科分类:081803[工学-地质工程] 08[工学] 0818[工学-地质资源与地质工程] 

基  金:The authors would like to thank Prof. Younane Abousleiman for his fruitful discussions 

主  题:Poroelastodynamics Dynamic moduli Transversely isotropic Porous cylinder Forced deformation test 

摘      要:Existing transversely isotropic poroelastodynamics solutions are limited to infinite domains and without experimental validation. Furthermore, there is a lack of analytical simulations for the elastic moduli dispersion of fluid-saturated porous cylinders. To address these three limitations and investigate the mechanisms of moduli dispersion, we present the analytical solutions of the poromechanical responses and the elastic moduli dispersion of a transversely isotropic, fluid-saturated, finite porous cylinder subjected to a forced deformation test. Through an example, we demonstrate the effects of loading frequency, boundary conditions, and material s anisotropy, dimension, and permeability on the responses of pore pressure,force, displacement, and dynamic elastic moduli of the cylinder. The specimen s responses are significantly influenced by the frequency of the applied load, resulting in a drained state at low frequencies and an undrained state at high frequencies. At high frequencies, the sample behaves identically for an open or a closed lateral boundary, and permeability has insignificant effects. The dynamic elastic moduli are mainly controlled by the loading frequency and the ratio of the sample s radius to its height. Lastly,we show excellent matches between the newly derived analytical solution and laboratory measurements on one clay and two shale samples from Mont Terri.

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