The rill erosion of a partially thawed soil slope is of great importance for understanding erosion dynamics and supplying datasets to estimate rill erosion model parameters. This study aimed to investigate the effects of thawed soil depth on rill erosion and to quantify the functional relationship between rill length and erosion. A series of laboratory experiments were conducted to measure sediment delivery under four slope gradients of 5°, 10°, 15°, and 20°, three flow rates of 1, 2, and 4 L/min, and three thawed depths of 1, 2, and 5 cm at nine slope lengths of 0.5, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, and 8.0 m. Each individual experimental run harvested four runoff samples to measure sediment concentration. A total of 3,888 data points were produced. The experimental data showed that sediment concentrations along the rill can be well fitted with piecewise functions of linear and exponential sections. The sediment concentrations on the slopes of shallow-thawed depths of 1 and 2 cm initially increased linearly before exponentially increasing with rill length. Under condition of 5 cm thawed depth, the sediments exponentially increased with slope length. The lack of sediment supply over partially thawed soil slope determined the linear increase in sediment at the initial slope part. When water flow traveled a certain slope length to pick up sufficient sediments, the sediment concentration started to increase exponentially. The sediment concentration increased with slope gradient and flow rate. A longer slope was needed to achieve a higher maximum sediment concentration on a shallower thawed depth, a gentler soil slope, and a higher flow rate. The experimental datasets and their functional relationship can supply the basis for estimating the model parameters of rill erosion, such as soil detachment rate and soil erodibility, on partially thawed frozen-soil slope.

部分解冻土壤斜坡的细沟侵蚀对于理解侵蚀动力学和提供数据集以估计细沟侵蚀模型参数非常重要。本研究旨在调查解冻土壤深度对细沟侵蚀的影响，并量化细沟长度与侵蚀之间的函数关系。进行了一系列实验室实验，以测量在 5°、10°、15°和 20° 的四个坡度梯度、1、2 和 4 L/min 的三种流速以及 1 的三个解冻深度下的沉积物输送， 2 和 5 厘米，在 0.5、1.0、2.0、3.0、4.0、5.0、6.0、7.0 和 8.0 m 的九个斜坡长度上。每个单独的实验运行收集四个径流样品以测量沉积物浓度。总共产生了 3,888 个数据点。实验数据表明，细沟沿线的泥沙浓度可以很好地拟合线性段和指数段的分段函数。1 厘米和 2 厘米浅解冻深度斜坡上的沉积物浓度最初呈线性增加，然后随着细沟长度呈指数增加。在5 cm解冻深度条件下，沉积物随坡长呈指数增加。部分解冻的土壤斜坡缺乏沉积物供应决定了初始斜坡部分沉积物的线性增加。当水流经过一定的斜坡长度以吸收足够的沉积物时，沉积物浓度开始呈指数增加。含沙量随着坡度和流速的增加而增加。需要更长的坡度才能在较浅的解冻深度上获得更高的最大沉积物浓度，更平缓的土壤坡度和更高的流速。实验数据集及其函数关系可为部分解冻冻土边坡细沟侵蚀模型参数的估算提供依据，如土壤脱离率和土壤可蚀性。