Among other numerical issues, it is well known that the finite element method (FEM) lacks objectivity in reproducing high deformation rates due to extreme external actions. In geotechnical applications, the coupling of large solid deformations with the pore fluid flow is a critical subject, being one of the multiple scenarios where FEM could have restricted applications. In order to overcome the aforementioned numerical drawbacks, the generic theoretical approach presented in this work is implemented in the context of an explicit numerical method known as the material point method (MPM). Since the MPM can be viewed as a special Lagrangian FEM with particle quadrature and continuous mesh updating, the improved formulation and numerical implementation presented here are well suited for the study of coupled water pore pressure and soil deformation models. One important aspect of the presented coupled formulation is the assumption of two independent sets of Lagrangian material points for each phase. This characteristic leads to a numerical tool oriented to large deformations simulations in saturated porous media, with a fully coupled thermodynamically consistent formulation. To illustrate its robustness and accuracy, the approach is applied to two different real engineering applications: progressive failure modeling of a granular slope and river levees. The obtained results show that the physics of fluid flow through porous media is adequately represented in each analyzed case. It is also proved that it accurately represents the kinematics of soil skeleton and water phase for fully saturated cases, ensuring mass conservation of all constituents.

在其他数值问题中，众所周知，由于极端的外部作用，有限元方法（FEM）在再现高变形率时缺乏客观性。在岩土工程应用中，大的固体变形与孔隙流体流的耦合是一个关键课题，这是有限元法可能限制应用的多种情况之一。为了克服上述数值缺陷，本文中提出的通用理论方法是在称为材料点法（MPM）的显式数值方法的背景下实施的。由于MPM可以看作是具有粒子正交和连续网格更新的特殊拉格朗日有限元，本文介绍的改进公式和数值实现方法非常适合于研究水孔隙压力和土壤变形模型的耦合。提出的耦合公式的一个重要方面是假设每个阶段有两组独立的拉格朗日物质点。该特性导致了一种数值工具，该工具可以在饱和多孔介质中进行大变形模拟，并具有完全耦合的热力学一致公式。为了说明其鲁棒性和准确性，该方法应用于两种不同的实际工程应用：颗粒状斜坡和河堤的渐进式破坏建模。所获得的结果表明，在每种分析情况下，都充分体现了流体流过多孔介质的物理性质。