By systematically reviewing the current research of river regulation, the research situation and development tendency on the issue of hydraulic geometry related to alluvial river adjustment, channel adjustment process under different boundaries and the alluvial river linear theories were comprehensively discussed. The following problems should be focused on in the adjustment of wandering channel in lower reaches of Yellow River under new situation, including the coupling effect of flow and sediment change and limited control boundary on river regulation, the section shape assumption in the mathematical analysis of channel section self-adjustment, and the main channel oscillating amplitude and its frequency on the wandering river under partly controlled boundaries. Further study on these issues is not only helpful to deepen the understanding of wandering river fluvial process, but also has significant theoretical and practical values in prediction of river channel adjustment trend and river regulation.