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.

现有的横向各向同性孔隙弹性动力学解决方案仅限于无限域且未经实验验证。此外，缺乏对流体饱和多孔圆柱体弹性模量色散的分析模拟。为了解决这三个限制并研究模量色散的机制，我们提出了经过强制变形测试的横向各向同性、流体饱和、有限多孔圆柱体的孔隙力学响应和弹性​​模量色散的解析解。通过实例，我们论证了加载频率、边界条件以及材料的各向异性、尺寸和渗透率对圆柱体孔隙压力、力、位移和动弹性模量响应的影响。样本的响应受到所施加载荷的频率的显着影响，导致低频时为排水状态，高频时为不排水状态。在高频下，样品对于开放或封闭横向边界的行为相同，并且渗透率的影响不显着。动态弹性模量主要由加载频率和样品半径与高度之比控制。最后，我们展示了新得出的分析解决方案与来自 Mont Terri 的一种粘土和两种页岩样品的实验室测量结果之间的出色匹配。且渗透率影响不显着。动态弹性模量主要由加载频率和样品半径与高度之比控制。最后，我们展示了新得出的分析解决方案与来自 Mont Terri 的一种粘土和两种页岩样品的实验室测量结果之间的出色匹配。且渗透率影响不显着。动态弹性模量主要由加载频率和样品半径与高度之比控制。最后，我们展示了新得出的分析解决方案与来自 Mont Terri 的一种粘土和两种页岩样品的实验室测量结果之间的出色匹配。