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A unified model for subaqueous bed form dynamics

机译：水下床床动力学的统一模型

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Bed form evolution remains dynamic even in the special case of steady, uniform flow. Data from the sandy, braided North Loup River, Nebraska, show that roughness features on the channel bottom display a statistical steady state and robust scaling that are maintained through the collective interactions of transient (short-lived) bed forms. Motivated by such field data, and laboratory observations of bed form growth, we develop a nonlinear stochastic surface evolution model for the topography of bed load dominated sandy rivers in which instantaneous sediment flux explicitly depends on local elevation and slope. This model quantitatively reproduces laboratory observations of initial growth and saturation of bed forms from a flat surface, and also generates long-term dynamical behavior characteristic of natural systems. We argue that the variability in geometry and kinematics of bed forms in steady flow, and the existence of roughness at all wavelengths up to the largest dunes, are a consequence of the nonlinear relationship between sediment flux and topography, subject to noise.
机译：即使在稳定，均匀流动的特殊情况下，床体形态仍保持动态变化。来自内布拉斯加州北部辫状沙质辫状河的数据表明，河床底部的粗糙度特征显示出统计上的稳态和稳健的水垢，这些水垢通过瞬态（短寿命）床层的集体相互作用得以维持。根据这样的现场数据和实验室对床形生长的观察，我们开发了一种非线性随机表面演化模型，用于河床为主的砂质河流的地形，其中瞬时沉积物通量明显取决于局部高程和坡度。该模型定量地再现了从平坦表面开始的床层初始生长和饱和的实验室观察结果，并且还生成了自然系统的长期动力学行为特征。我们认为，稳定流化床形式的几何学和运动学的变化，以及直至最大沙丘的所有波长的粗糙度的存在，都是沉积物通量与地形之间非线性关系的结果，容易受到噪声的影响。

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