Solution of Local Rheological Nodal Task to Problem of the Maximum Flow of the Minimum Cost in Complicate Branched System of Trunk Oil Pipelines

Abstract

The paper considers a new approach to identifying the possibility of saving pumping energy for in the oil trunk pipeline system by optimization the mixing ratio of the oils pumped to different directions in complicate branched network. To get the effect of energy consumption reduction, optimal mixing concentrations are calculated on the simplex space characterizing the composition of the oil blend. The problems of calculating the flow rate and required energy by a more explicit function type without iterative methods are considered. Attention is paid to determining the boundaries of possible ratios of blending taking into account the condition of mass balance. An example to solving the task aimed to optimization of oil flows distribution in condition of differences of their rheological properties in the case of the simplest configuration type of the pipeline network is also shown. The considered method presents the local nodal solution of a more complete transportation optimization task – The Maximum flow of the Minimum cost.