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：在这项工作中,我们开发了一种计算方法,根据对地表测量的观测为水底地形提供实时探测,我们设计了一个反向问题来完成这项任务。我们用来描述水表特征的前方模型是短短的KdV方程式,我们将倒置机制作为一个在线参数估计问题,通过直接过滤方法加以解决。进行了数字实验,以表明我们的方法能够有效检测水深的突变。