Backward erosion piping is an internal erosion process, which compromises the stability of water retaining structures such as dams and levees. In this paper, we propose a numerical solution that combines a 2D Darcy groundwater solution with Exner’s 1D sediment transport mass conservation equation. As an estimate of sediment transport, we tested four different empirical transport equations for laminar flow. The model performance was evaluated based on the results of the real-scale IJkdijk experiment. Through this, we were able to demonstrate the applicability of existing sediment transport equations to the description of particle motion during piping erosion. The proposed transient piping model not only predicts the pipe progression in time, it also allows for an identification of pore pressure transitions due to the erosion process. A major conclusion of the study is that from the four different modeling approaches for laminar flow, it is recommended to follow the approach of Yalin et al. regarding the simulation of backward erosion piping for dike configurations similar to those of the IJkdijk experiment.

向后腐蚀管道是内部腐蚀过程，会损害水坝和堤坝等保水结构的稳定性。在本文中，我们提出了一种将2D达西地下水溶液与Exner的1D泥沙输送质量守恒方程相结合的数值解。作为沉积物传输的估算，我们测试了四种不同的层流经验传输方程。基于真实IJkdijk实验的结果评估了模型性能。通过这一点，我们能够证明现有的泥沙运移方程对管道侵蚀过程中颗粒运动的描述的适用性。提出的瞬态管道模型不仅可以预测管道的时间变化，还可以识别由于侵蚀过程而引起的孔隙压力转变。该研究的主要结论是，从层流的四种不同建模方法中，建议遵循Yalin等人的方法。关于与IJkdijk实验相似的堤防配置的后向腐蚀管道的模拟。