In this paper, we investigate the response of multilayered transversely isotropic poroelastic media under vertical rectangular moving loads by utilizing the extended precise integration method (PIM). Firstly, governing equations are derived based on Biot's formulation of porous media in the Cartesian coordinate system. Next, the Fourier expansion and integral transform techniques are applied to obtain the ordinary differential equations of a single layer. By introducing the continuity and boundary conditions of each layer, the solution in the transformed domain for multilayered media is further formulated. Then, the real solution is obtained by inverting the Fourier transform. Finally, the proposed solution is verified by comparing with existing solutions, and the impacts of transverse isotropy, anisotropic permeability, medium stratification and moving speed on the dynamic response are analyzed.

在本文中，我们利用扩展精确积分法 (PIM) 研究了多层横向各向同性多孔弹性介质在垂直矩形移动载荷下的响应。首先，在笛卡尔坐标系中基于Biot的多孔介质公式推导了控制方程。接下来，应用傅里叶展开和积分变换技术来获得单层的常微分方程。通过引入每一层的连续性和边界条件，进一步制定了多层介质变换域中的解。然后，通过对傅立叶变换求逆得到实解。最后，通过与现有解决方案的比较，以及横向各向同性、各向异性渗透率、