A New Mathematical Model Gas Flows in Pipeline with Leak

In this paper, a gas pipeline model with leakage is presented. This model does not need to evaluate the characteristics of downstream equipment and does not rely on sophisticated numerical methods. Changes in the flow variables can be accurately predicted by the model. In this model, a new similarity-based approach is proposed between the pipeline and the electrical circuit, in which a circuit equivalent to a specific structure is used to simulate the leakage pipeline. This new approach can be used to assess leakage losses and guide pipeline operation as well as to help detect leaks. We know that many mathematical expressions have been formulated to describe the flow in a pipeline by leakage, but it is not easy to solve. However, the mathematical model of a leaky pipeline can also be developed with this method. This model is validated using data from a real gas pipeline. The simulation results are in good agreement with the experimental results which confirm the validity of the model and the validity and efficiency of the proposed method.