Meandering is one of the unique processes in Earth surface dynamics. Since the 1960s, fluvial geomorphologists have generalized numerous widely-acknowledged empirical or semi-empirical formulae to describe meandering rivers' characteristics. The most frequently applied one is the Kinoshita high-sinuosity curve to describe meander channel planform geometry. Combining the Kinoshita curve with the Beck equations to describe the riverbed topography at equilibrium state, a prototype of a synthetic riverbed topography generating model is made for idealized meandering rivers. Such a method can be readily extended and applied to arbitrary meandering rivers in the real world, resulting in the synthetic riverbed topography model, pyRiverBed, presented herein. A meander migration and neck cutoff submodel is also embedded in pyRiverBed. Unlike existing linear and non-linear bend theory-based models, pyRiverbed aims towards generating the riverbed topography for each snapshot during the migration process. The present model can facilitate meandering river researchers to interpolate their field-measured bathymetric data using the synthetic bed, design their non-flat bed laboratory flumes for experiments, and initialize their hydrodynamic and morphodynamic numerical models. It can also provide guidance in stream restoration projects on designing a channel with a morphodynamic equilibrium bed. The quality of generated synthetic bed topography is evaluated through the comparison against both laboratory experiment data and field-measured data. The meander migration submodel is validated using a real-world channel migration and neck cutoff event. The validation results prove that the synthetic riverbed's accuracy is reasonably good, and the meander migration submodel can successfully predict meander migration and neck cutoff.

弯曲是地球表面动力学的独特过程之一。自1960年代以来，河流地貌学家已经概括了众多公认的经验或半经验公式来描述蜿蜒河流的特征。最常用的一种是Kinoshita高弯曲曲线，用于描述蜿蜒的河道平面形状。结合Kinoshita曲线和Beck方程描述平衡状态下的河床地形，为理想的蜿蜒河道制作了综合的河床地形生成模型的原型。这样的方法可以很容易地扩展并应用于现实世界中的任意曲折河流，从而形成了本文提出的综合河床地形模型pyRiverBed。pyRiverBed中还嵌入了一个蛇行迁移和脖子切除子模型。与现有的基于线性和非线性弯曲理论的模型不同，pyRiverbed的目标是在迁移过程中为每个快照生成河床地形。本模型可以帮助蜿蜒的河流研究人员使用合成床插值其野外测得的测深数据，设计其非平坦床实验室水槽进行实验，以及初始化其水动力和形态动力数值模型。它还可以在河流修复项目中为设计具有形态动力学平衡床的河道提供指导。通过与实验室实验数据和现场测量数据的比较来评估生成的合成床形貌的质量。使用真实世界的通道迁移和颈部切除事件验证了河曲迁移子模型。