Sedimentation and consolidation, a multi-physical phenomenon of great significance in aquatic environments, usually involves dynamic pore pressure, inertial effects, fluid-particle interphase interaction and solid stress. However, simplified models for sedimentation and consolidation typically assume hydrostatic mixture pressure and neglect inertial effects without proper justifications. Here, a one-dimensional three-equation two-phase flow model (TTP) is proposed for sedimentation and consolidation, which directly resolves dynamic fluid pressure and inertial terms. The present TTP model is benchmarked against a series of experimental cases and two existing four-equation two-phase flow (FTP) models. It features encouraging performance as compared to measured data and computed results of the existing FTP model. Furthermore, the present TTP model shows superior computing efficiency over the FTP models. To investigate the influences of inertial effects and non-hydrostatic mixture pressure, two simplified versions of the TTP model are constructed and compared with the TTP model. It is shown that incorporating inertial effects and non-hydrostatic fluid pressure are important for accurately predicting the sedimentation-consolidation process. The present study facilitates a promising framework for modelling sedimentation and consolidation, thereby supporting effective sediment management.

中文翻译：

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沉积和固结的两相流模型

沉积和固结是水生环境中具有重要意义的多物理现象，通常涉及动态孔隙压力、惯性效应、流体-颗粒间相相互作用和固体应力。然而，沉积和固结的简化模型通常假设静水混合物压力并忽略惯性效应，而没有适当的理由。这里，提出了用于沉积和固结的一维三方程两相流模型（TTP），它直接求解动态流体压力和惯性项。目前的 TTP 模型以一系列实验案例和两个现有的四方程两相流 (FTP) 模型为基准。与现有 FTP 模型的测量数据和计算结果相比，它具有令人鼓舞的性能。此外，当前的 TTP 模型显示出优于 FTP 模型的计算效率。为了研究惯性效应和非静水混合压力的影响，构建了 TTP 模型的两个简化版本并与 TTP 模型进行了比较。结果表明，结合惯性效应和非静水压力对于准确预测沉积固结过程非常重要。本研究为沉积和固结建模提供了一个有前景的框架，从而支持有效的沉积物管理。