A novel tailing curve simulation model for sequential transmission in multiproduct pipeline based on fractional order integral algorithm

Abstract Accurate prediction of intermixing‐zone tailing is essential for interface cutting and quality control during the sequential transportation of refined petroleum products. This study develops a time‐fractional convection‐diffusion (TFCD) model that incorporates transport‐history effects to reproduce asymmetric product‐concentration profiles in multiproduct pipelines. A fractional order of α = 0.5 is used in the engineering cases. The model is evaluated against three empirical correlations and field measurements from the TX–HZ pipeline and is subsequently applied to jet‐fuel/diesel transportation in the YP‐MC pipeline. At a transportation distance of 112 km, the predicted intermixing length is 829 m, within the empirical range of 749–887 m. For the TX–HZ case, the maximum absolute error is below 4.5%, and the relative error is below 10%. For the YP‐MC pipeline, the outlet intermixing lengths are 788.7 and 812.5 m when jet fuel and diesel lead, respectively, with more pronounced tailing when jet fuel leads. At the same transportation distance of 46 km, the gasoline/diesel interface has an offset volume of 24.46 m 3 , compared with 6.12 m 3 for jet fuel/diesel. The proposed model provides an engineering tool for batch‐sequence optimization, interface cutting, and product‐quality control.