本文提出了任意决口断面下溃坝水激波的理论解模型。通过引入分离变量法、相似性解理论等，文中不仅解决了复杂决口断面水激波不能解析求解的难题，而且还全面地克服了激波求解数值方法中存在的间断抹平、解的非物理振动、坝址处“狗腿”及洪水前锋无穷大流速等缺陷。新模型可直接根据决口断面形状和坝上游。下游的初始水位求解溃决后的水力特性，对此文中给出了求解方法和计算实例。算例表明，本文所提出的模型及其计算方法是成功而有效的。 In this paper, a theoretical solution model of dam-in damped waterburst under arbitrary cross-section is proposed. By introducing the methods of separating variables and similarity solutions, this paper not only solves the problem of the inability to solve the water shock in the complex fracture surface, but also overcomes the non-physical Vibration, dam site “dogleg” and infinity of flood striker flow defects. The new model can be directly based on the shape of the breach section and upstream of the dam. The initial downstream water level solved the hydraulic characteristics after the collapse, and the solving methods and calculation examples are given in this article. The examples show that the proposed model and its calculation method are successful and effective.