This paper examines the thermo-hydro-mechanical (THM) coupling behavior of layered transversely isotropic media under axisymmetric and plane strain conditions by utilizing the transformed differential quadrature method (TDQM), taking groundwater into consideration. Initially, the coupled governing equations of layered transversely isotropic media in multi-dimensional coordinate systems are established with considering the influence of groundwater levels. Subsequently, appropriate integral transform methods are applied to derive ordinary differential equations under different coordinate systems. It can be seen that the equations in different coordinate systems after the discretization are similar. Boundary conditions and internal continuity conditions are defined through the stress-strain relationship in the transformed domains, which are integrated into the discretized equations to form the global matrix equations. After solving the matrix equations, this study verifies the solution and investigates the impact of groundwater levels and the key parameters of transverse isotropy, and compares the behaviors of the media in different coordinate systems.

中文翻译：

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通过多维分析研究地下水和各向异性对热-水-机械耦合的影响


本文利用变换的微分正交法 （TDQM） 研究了分层横向各向同性介质在轴对称和平面应变条件下的热-水-机械 （THM） 耦合行为，同时考虑了地下水。首先，在考虑地下水位影响的情况下，建立了多维坐标系中层状横向各向同性介质的耦合控制方程。随后，应用适当的积分变换方法推导不同坐标系下的常微分方程。可以看出，离散化后不同坐标系中的方程是相似的。边界条件和内部连续性条件是通过变换域中的应力-应变关系定义的，这些应力-应变关系被集成到离散方程中以形成全局矩阵方程。在求解矩阵方程后，本研究验证了解，研究了地下水位的影响和横向各向同性的关键参数，并比较了不同坐标系中介质的行为。