Article ID: | iaor20125196 |
Volume: | 82 |
Issue: | 11 |
Start Page Number: | 2253 |
End Page Number: | 2267 |
Publication Date: | Jul 2012 |
Journal: | Mathematics and Computers in Simulation |
Authors: | Sun Liang |
Keywords: | petroleum |
Pipeline leaks can lead to excessive economical loss as well as posing environmental hazards. Mathematical modeling of the flow in a pipeline with a leak can be used to evaluate the loss caused by a leak and provide a guide for pipeline operation as well as an aid for leak detection. The mathematical expressions describing the flow in a pipeline with a leak have been formulated. A new approach based on the analogy between pipeline and electric circuit has been proposed to solve these equations. In this approach, an equivalent circuit with a certain structure has been used to simulate the leaking pipeline and the flow characteristics of the pipeline end have been treated with approximation. The mathematical model of the pipeline with a leak has been developed with the solution of the equations. The model was verified by using an experimental gas pipeline and a real oil pipeline. The simulated results agreed well with the experimental recordings confirmed the accuracy of the models and the validity and efficiency of the proposed approach.