  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.
