Известия Томского политехнического университета: Инжиниринг георесурсов (May 2019)
Numerical analytical model of gas transport on the gas-main pipeline
Abstract
The paper is devoted to solving an urgent problem of increasing energy efficiency of gas transportation. The main aim of the study is to create a computational model of gas transport with adequate accuracy and reasonable computational complexity for solving the problem of optimal load distribution between the equipment of compressor stations of the gas-main pipeline. The methods used in the study. The analytical model of the process, which was originally formulated as the heat equation taking into account the spatial distribution of the flow temperature, is presented in the form of distributed system transfer functions using the methods of structural theory of distributed systems. The problem is considered in one-dimensional formulation, the mutual influence of temperature fields of flow and soil is described by including the corresponding components in the right sides of the equations. Computer modeling and parametric identification of the system are made with the software for numerical simulation of nonlinear dynamic systems with lumped parameters. The transition from a distributed representation to multicoupling system is realized due to an approximation of the distributed signals along the spatial axis. Accuracy of the approximation depends on the quantity of temperature measuring points along the length of the gas-main pipeline. The identification of the system is based on the results of the passive experiment. The results. The authors introduced an approach to the development of a computer model of the gas temperature at the outlet of the gas-main pipeline that takes into account the spatial distributed process of the gas flow heat loss. The model takes into account the flow rate change, the mutual influence of temperature fields of the soil and the gas flow, the influence of the air temperature. The results of the identification of the model are given. The analysis of the advantages and disadvantages of the developed model is made. Developed computational model of gas transport on the gas-main pipeline has all the necessary parameters for its using for optimizing operating modes of equipment of the gas-main pipeline compressor stations.