Based on the smoothed particle hydrodynamics (SPH), a multi-layer particle method is established to accurately simulate the deformation and motion of the water-soil coupling interaction, considering the seepage process and the variation of the volume fractions of water and soil. The weakly compressible model is used for water, while the Drucker-Prager elastoplastic constitutive model is employed for soil. In this study, we have adopted a new wall boundary model for water-soil coupling, considering the physical relationship between boundary particles and internal particles, which improves the numerical stability of the SPH simulation. Three numerical examples are conducted to validate the accuracy of the SPH method and the new wall boundary model. The distribution of the saturated soil foundation stresses is simulated to validate the accuracy of the SPH method under static water conditions and the superiority of the new wall boundary model. The seepage process in a soil dam and the underwater landslide are simulated to validate the ability of the current SPH method for simulations of water-soil coupling interaction. These results confirm that the current SPH method has good stability and accuracy, making it suitable for simulating fundamental water-soil coupling processes.

中文翻译：

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模拟水土耦合作用的多层SPH方法——基于新型墙体边界模型


基于平滑粒子流体动力学（SPH），考虑渗流过程以及水土体积分数的变化，建立了多层粒子法，能够准确模拟水土耦合相互作用的变形和运动。对于水，采用弱可压缩模型；对于土，采用Drucker-Prager 弹塑性本构模型。在本研究中，我们采用了一种新的水土耦合壁边界模型，考虑了边界颗粒与内部颗粒之间的物理关系，提高了SPH模拟的数值稳定性。通过三个数值算例验证了SPH方法和新壁面边界模型的准确性。通过模拟饱和土基应力的分布，验证静水条件下SPH方法的准确性以及新墙体边界模型的优越性。通过模拟土坝渗流过程和水下滑坡，验证了现有SPH方法模拟水土耦合相互作用的能力。这些结果证实了当前的SPH方法具有良好的稳定性和准确性，适合模拟基本的水土耦合过程。