EGUsphere EGUsphere EGUsphere EGUsphere Copernicus Publications Göttingen, Germany 10.5194/egusphere-2025-707 Stabilized two-phase material point method for hydromechanical coupling problems in solid-fluid porous media Tang Xiong https://orcid.org/0009-0001-5147-7939 1 2 3 Liu Wei 1 2 He Siming 1 2 Zhu Lei 1 2 Jaboyedoff Michel https://orcid.org/0000-0002-6419-695X 3 Zhang Huanhuan 1 2 Sun Yuqing 1 2 Huo Zenan https://orcid.org/0000-0003-3750-1709 3 Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, China University of Chinese Academy of Sciences, Beijing 100049, China Analysis Group, Institute of Earth Sciences, University of Lausanne, CH 1015 Lausanne, Switzerland 26 02 2025 2025 1 36 Copyright: © 2025 Xiong Tang et al. 2025 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/ This article is available from https://egusphere.copernicus.org/preprints/2025/egusphere-2025-707/ The full text article is available as a PDF file from https://egusphere.copernicus.org/preprints/2025/egusphere-2025-707/egusphere-2025-707.pdf

For the hydromechanically coupling of solid-fluid porous media, this study presents an explicit stabilized two phase MPM formulation based on the one-point two-phase MPM scheme. To mitigate the spurious pore pressure and maintain the numerical stability, the stabilized techniques including the strain smoothing method and the multi-field variational principle are implemented in the proposed formulation. The strain smoothing technique is used to smooth the volumetric strain rate, and the calculation of the pore pressure increasement at particles is based on the multi-field variational principle. Four numerical examples are performed to evaluate the performance of the proposed formulation. With its effective and easy implemented stabilized techniques, the proposed formulation provides stable and reliable outcomes that well align with analytical solutions and results from other approaches, offering extensively validation that the proposed two phase MPM formulation is an effective and reliable approach for the simulation of solid-fluid porous media under both static and dynamic conditions.