Abstract: The blockage in the water distribution and supply pipe system will cause additional energy loss and water quality problems. The accurate simulation and detection of pipeline blockage are extremely important. The finite volume method Godunov scheme can effectively avoid numerical dissipation or dispersion problems caused by interpolation or wave speed adjustment of the method of characteristics. Firstly,the mathematical models of discrete and extended blockage are established,and the Godunov scheme is proposed. The accuracy of the models is verified by comparing model results with the calculation results of published papers and experimental data. The reasons for pressure changes of blockage are analyzed based on the wave propagation theory,and the corresponding blockage parameter identification method is given. The results of parameter sensitivity analysis show that the flow rate,coefficient of loss,and location of the blockage will affect the reflection pressure of the discrete blockage,and the size and length of the extended blockage will change the pressure fluctuation period.