Subsea production system, being of high value to deep water oil and gas production, has become more and more important recently. There is still much chance that submarine equipment failures would happen, for example, the erosion problem has been a great risk to the submarine jumper. A comparison of erosion angle function and erosion rate of different erosion model demonstrates their maximum erosion angle and maximum erosion rate. A numerical erosion model is set up to analyze the effect of flow velocity, sediment concentration, particle size diameter and mass flow rate on erosion rate. For the mass flow rate factor, we can find that a bigger erosion rate is got for a larger mass flow rate at the same flow velocity and the maximum erosion rate increases with the increase of mass flow rate, for the bend ratio, a bigger erosion rate is got at a higher bend ratio. In addition, we compared the result of different model and different simulation software, good anastomosis is got between these models. Despite this, however, and within experimental in the future research, uncertainty, the models perform better and good convincing result can be got..