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Objective The aim is to explore the impact of fracturing construction parameters on the erosion of movable elbow, and movable elbow erosion behavior and change trend of maximum erosion rate under different working conditions. Methods The CFD software is used to establish a model of double-curved movable elbow with a diameter of 69.85 mm, and the erosion behavior of the movable elbow under different installation angles, proppant mass flow rates, fracturing fluid flow rates and viscosity conditions is simulated and calculated in combination with the actual fracturing conditions. Results Under different working conditions, the maximum erosion rate of the elbow occurs at the outlet of the outer arch side of the second curved arc. Under the same condition of other parameters, the maximum erosion rate of the movable elbow appears a minimum when the installation angle is 75°. When the mass flow rate of proppant is in the range of 4.2-25.2 kg/s, the maximum erosion rate increases linearly. When the mass flow rate of proppant reaches 33.6 kg/s, the erosion rate decrease slightly due to the "shielding effect". Erosion rate shows an approximate exponential growth trend with the increase of fracturing fluid flow rate; When the viscosity of the fracturing fluid is within the range of 10-40 mPa · s, the maximum erosion rate of the movable elbow is relatively stable, and the maximum erosion rate also increases with the increase of the viscosity, and tends to be stable after the viscosity reaches 120 mPa · s. Conclusions The research results are basically consistent with the field practice, which can provide effective reference for the layout of moveable elbow and the optimization of construction parameters in the fracturing field. [ABSTRACT FROM AUTHOR]