Mobile underwater wireless sensor networks(MUWSNs) has become a research hotspot all over the world. The
complex underwater conditions and the mobility of the underwater sensors make MUWSNs evolve dynamically. On the
other hand, the underwater acoustic communication effects the reliability of MUWSNs’ topology. Firstly, the research status
and progress of MUWSNs are clarified. The impact of the underwater acoustic communication on MUWSNs’ topology is
analysed. Then three scientific problems of MUWSNs’ topology are summarized. And topology generation, self-healing and
optimization are analysed emphatically. Finally, the future direction of the research is presented, which provides a clear train
of thought for the further research in this field.