Purpose. Preventing accidents during the operation of complex oil transportation systems under incomplete loading is considered on the basis of the prediction of the nature of transient pressure pulsations caused by a leap-like change in productivity. Methodology. The main factors affecting the trouble-free operation of the main oil pipelines are analyzed. The classification of pipe wall defects of the main oil pipelines is given. For each of these types of defects the probable indicators of their occurrence are given based on the experience of operation of domestic main oil pipelines. Findings. In order to carry out analytical studies and to establish the laws of fluctuation of pressure in the main oil pipeline with road withdrawal, a mathematical model based on the equations of motion and mass conservation of the fluid is built, the withdrawal process is described using the Dirac source function. The implementation of the model was carried out using the principles of operational calculus, which allowed us to obtain an analytical form of the nature description of the time-varying pressure oscillations in the characteristic points of the trace, which makes it possible to establish the amplitude-frequency characteristics of the transient process. Originality. For the first time, it is proposed to use a piecewise linear approximation of the boundary conditions at the point of origin of leakage for their implementation in the analytical solution of the transient process model in a hypothetical main oil pipeline. Practical value. According to the obtained method, the distribution of relative values of pressure and mass flowrate at characteristic points of the modelled oil pipeline system is constructed. The influence of time-varying errors in determining the pressure in the point of road withdrawal upon the accuracy of the calculations is evaluated. The results obtained are recommended for use in oil pipelines and complex petroleum-based systems operating under incomplete loading (to prevent emergencies).

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