Hydraulic erosion may pose a threat to the safety and sustainability of geo-related infrastructure, yet quantifying the intricate process of hydraulic erosion still poses a significant scientific and technical challenge. One important step in meeting this challenge is the formulation of a hydraulic erosion model with the erosion coefficient as a central controlling parameter. Calibration of the erosion coefficient (or rate) remains one of the main obstacles to improving predictive modelling, particularly in scenarios lacking long-term laboratory test data. In this study, sensitivity analysis of the key erosion indicators on the parameters controlling hydraulic erosion is conducted. A novel calibration method for the erosion coefficient is presented based on sensitivity analysis. After validating against simulation results and laboratory test findings, the proposed calibration method is applied to a hypothetical long-term hydraulic erosion case. The results show that the maximum hydraulic erosion time is sensitive to all considered parameters (erosion coefficient, initial fraction of fluidized solid particle, initial porosity and maximum porosity), while the erosion curve shape is only sensitive to the initial porosity and the maximum porosity. The validation by existing simulation results shows that the proposed calibration method is robust and internally consistent. The validation by experimental results indicates that the proposed calibration method also has high external validity. Finally, the proposed calibration method is applied to hypothetical long-term erosion in a grouted area. The results show that the hydraulic erosion effect in the grouted area becomes increasingly severe over time. This study contributes toward a more efficient calibration of the erosion coefficient, especially for scenarios in the absence of testing porosity evolution data. The research outcome provides a theoretical foundation for the safety assessment and sustainability analysis of geotechnical structures that are subject to hydraulic erosion.

中文翻译：

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水力侵蚀敏感性分析及侵蚀系数标定


水力侵蚀可能对地质相关基础设施的安全和可持续性构成威胁，但量化水力侵蚀的复杂过程仍然构成重大的科学和技术挑战。应对这一挑战的一个重要步骤是制定以侵蚀系数为中心控制参数的水力侵蚀模型。侵蚀系数（或速率）的校准仍然是改进预测模型的主要障碍之一，特别是在缺乏长期实验室测试数据的情况下。本研究对关键侵蚀指标对控制水力侵蚀的参数进行了敏感性分析。提出了一种基于灵敏度分析的侵蚀系数标定方法。在根据模拟结果和实验室测试结果进行验证后，所提出的校准方法适用于假设的长期水力侵蚀情况。结果表明，最大水力侵蚀时间对所有考虑的参数（侵蚀系数、流化固体颗粒初始分数、初始孔隙率和最大孔隙率）敏感，而侵蚀曲线形状仅对初始孔隙率和最大孔隙率敏感。现有仿真结果的验证表明，所提出的标定方法具有鲁棒性和内部一致性。实验结果验证表明，所提出的校准方法也具有较高的外部效度。最后，所提出的校准方法应用于灌浆区域中假设的长期侵蚀。结果表明，随着时间的推移，灌浆区的水力侵蚀作用变得越来越严重。 这项研究有助于更有效地校准侵蚀系数，特别是在缺乏测试孔隙度演化数据的情况下。研究成果为水力侵蚀岩土结构的安全评估和可持续性分析提供了理论基础。