Abstract
In this paper, it is supposed that the linearized water wave equation (LWWE) can describe the movement of water waves. Utilizing the identification algorithm we put forward in this paper, the depth of water, the elevation of the wave surface, and the velocity potential can be calculated from the measured velocity of surface water waves at the same time. We show the estimability by proving the mapping from the depth of water, the elevation of wave surface and the velocity potential to the measurement is injective. Moreover, we verify our proposed algorithm, which is on the basis of the classical gradient descent method, with some numerical simulations.
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