In this paper, an efficient and robust methodology to simulate saturated soils subjected to low-medium frequency dynamic loadings under large deformation regime is presented. The coupling between solid and fluid phases is solved through the dynamic reduced formulation \(u-p_\mathrm{w}\) (solid displacement – pore water pressure) of the Biot’s equations. The additional novelty lies in the employment of an explicit two-steps Newmark predictor-corrector time integration scheme that enables accurate solutions of related geomechanical problems at large strain without the usually high computational cost associated with the implicit counterparts. Shape functions based on the elegant Local Maximum Entropy approach, through the Optimal Transportation Meshfree framework, are considered to solve numerically different dynamic problems in fluid saturated porous media.

在本文中，提出了一种有效且稳健的方法来模拟在大变形状态下承受中低频动态载荷的饱和土。固相和液相之间的耦合通过动态简化公式\(u-p_\mathrm{w}\)解决Biot 方程的（固体位移 - 孔隙水压力）。另一个新颖之处在于采用了明确的两步 Newmark 预测-校正时间积分方案，该方案能够在大应变下准确解决相关地质力学问题，而不会产生与隐式对应物相关的通常高计算成本。基于优雅的局部最大熵方法的形状函数，通过 Optimal Transportation Meshfree 框架，被认为是解决流体饱和多孔介质中数值不同的动态问题。