In this work, we develop a computational method that to provide realtime detection for water bottom topography based on observations on surface measurements, and we design an inverse problem to achieve this task. The forward model that we use to describe the feature of water surface is the truncated KdV equation, and we formulate the inversion mechanism as an online parameter estimation problem, which is solved by a direct filter method. Numerical experiments are carried out to show that our method can effectively detect abrupt changes of water depth.

翻译：本文开发了一种计算方法，基于水面观测数据实现对水底地形的实时探测，并为此设计了一个反问题。我们采用截断KdV方程作为描述水面特征的正向模型，将反演机制构建为在线参数估计问题，并通过直接滤波方法求解。数值实验表明，该方法能够有效检测水深的突变。