Abstract: Considering the significance of grout's dispersion in running ground water in the aquifers, a hydrodynamic dispersion model of liquid solute is presented to characterize grout transport in salvation course of ruptured shaft linings, and an analytical solution of grout concentration in radial flow is developed by coordinate conversion. With an instance of a coal mine air-shaft mending engineering, it is demonstrated to form standard curves from in-situ observation data, analyze the dispersivity and absorptivity parameters of flowing grouts and guide the water-block grouting course with the model.