Ban Y Y, Lei T W
Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing, 100101, People's Republic of China.
China Agricultural University, Beijing, 100083, People's Republic of China.
Sci Rep. 2022 Mar 21;12(1):4812. doi: 10.1038/s41598-022-08512-6.
Quantification of rill erosion processes is of great importance in both model parameter estimations for process-based rill erosion models and in model performance verification. This study presents a mathematical method to determine a physics-based rill erosion process derived from the feedback relationship of transport capacity and detachment capacity. Experimental data sets were used to determine transport capacities under steep slope gradients of 15°, 20°, and 25° and the detachment capacities. The estimated transport and detachment capacities were then used to determine the sediment delivery processes under different hydraulic regimes. The sediment concentrations along the rill determined with the mathematical method were compared with the experimental measurements to verify the methodology and the mathematics. Results showed that the mathematical model results agreed well with the experimental data in references. The predicted detachment capacity calculated by the new method was capable of predicting saturated, unsaturated, and thawed slope, but incapable of partially thawed soil. This study not only supports the analytical solution to the differential equation of rill erosion, but also verifies that the experimental method was fit well with the mathematical concept. The new method provides a useful and efficient way to quantify rill erosion processes.
细沟侵蚀过程的量化在基于过程的细沟侵蚀模型的模型参数估计和模型性能验证中都非常重要。本研究提出了一种数学方法，用于确定基于输移能力和分离能力反馈关系的物理细沟侵蚀过程。实验数据集用于确定15°、20°和25°陡坡梯度下的输移能力以及分离能力。然后，利用估计的输移能力和分离能力来确定不同水力条件下的泥沙输移过程。将用数学方法确定的沿细沟的泥沙浓度与实验测量值进行比较，以验证该方法和数学模型。结果表明，数学模型结果与参考文献中的实验数据吻合良好。用新方法计算的预测分离能力能够预测饱和、非饱和和解冻边坡，但不能预测部分解冻土壤。本研究不仅支持细沟侵蚀微分方程的解析解，还验证了实验方法与数学概念的良好契合。新方法为量化细沟侵蚀过程提供了一种有用且有效的途径。
