Turbidity current intrusion often occurs in canals, approach channels and tributary areas of large reservoirs, causing sedimentation problems in these environments. Many models and semi-empirical equations have been proposed to calculate flow and sediment transport rates for turbidity current intrusion, under an assumption that the current front can keep propagating freely in the channel before dying out, but the effect of the finite length of closed-end channels has rarely been considered. A self-similar solution to the vertical two-dimensional model for turbidity currents is used to obtain the equation of the maximum possible length for the intrusion of turbidity currents. The maximum possible length is then used to modify an existing discharge equation for turbidity current intrusion in long channels and establish a more general calculation method that can be applied for intrusion in closed end channels. Data from two existing flume experiments are used to calibrate the derived equation of sediment transport rate for turbidity current intrusion. Field measurements obtained from several tributary mouths in the Xiaolangdi Reservoir are also used to calibrate the derived intrusion discharge equation. The agreement between predictions and observations, as well as the comparison between the proposed calculation method and the one before modification, demonstrate that the intrusion discharge is not only determined by the depth of turbid water and sediment concentration at the inlet of the tributary channel, but also influenced by the ratio of the real intrusion length to the maximum possible intrusion length.

浊流侵入经常发生在大型水库的运河、引航道和支流区域，导致这些环境中的沉积问题。已经提出了许多模型和半经验方程来计算浊流入侵的流量和输沙速率，假设当前锋在消亡前可以在河道中自由传播，但封闭的有限长度的影响-端渠道很少被考虑。采用浊流垂直二维模型的自相似解，得到浊流侵入的最大可能长度方程。然后利用最大可能长度对现有的长通道浊流侵入流量方程进行修正，并建立一种更通用的计算方法，可应用于封闭端通道的侵入。来自两个现有水槽实验的数据用于校准用于浊流侵入的泥沙输送速率推导方程。从小浪底水库的几个支流口获得的现场测量数据也用于校准导出的侵入流量方程。预测与观测的一致性，以及所提出的计算方法与修改前的比较表明，侵入流量不仅取决于支流河道入口处的浊水深度和泥沙浓度，