In the Bisan-seto strait channel, the responsible area of the development and maintenance was expanded to 12 times in December 2009. In the channel and the surrounded area, there are many sand waves which are consecutive sand bank of several meters of wave height and tens of meters of wave length. The sand waves cause the channel trouble by the water depth becoming shallow locally. In this study, the prediction model of sand wave growth is developed in the given external condition of the water depth, the current velocity and the bottom grain size.
　The base of the sand wave model is an analytical technique for stability theory of the dune. As the condition of promoting growth of sand waves, the spatial distribution of sand transport rate caused by the vortex at the top is set. As the conditions of limiting growth of sand waves, underwater angle of repose of sediments and continuity of sediment movement at the trough are set. As a result, the expressions of the displacement velocity and the growth rate of sand waves are obtained. Moreover, referring to the existing investigation results of the displacement velocity, wave height and wavelength of sand waves, the parameter included in the expressions are decided.