A fully coupled dynamic model is presented in this paper by considering the effect of matric suction, varying parameters in connection with saturation, stratification and transverse isotropy. This model can describe separate flows of two immiscible fluids in layered transversely isotropic unsaturated poroelastic media subjected to harmonically dynamic loads. The ordinary differential matrix equations of this model are derived based on Hankel integral transform and a series of algebraic manipulations. Then the final solution is obtained by conducting the extended precise integration method, and further verified against the existing solution. Numerical examples are carried out to demonstrate the effects of saturation, transversely isotropic parameters, angular frequency and soil thickness on dynamic behavior of unsaturated porous media.

通过考虑基质吸力的影响，与饱和度，分层和横向各向同性有关的变化参数的影响，提出了一种完全耦合的动力学模型。该模型可以描述承受谐波动态载荷的分层各向同性不饱和多孔弹性介质中两种不混溶流体的分离流动。该模型的常微分矩阵方程是基于汉克尔积分变换和一系列代数运算得出的。然后，通过进行扩展的精确积分方法获得最终解决方案，并针对现有解决方案进行进一步验证。数值算例表明了饱和度，横向各向同性参数，角频率和土壤厚度对非饱和多孔介质动力特性的影响。