Journal of Applied Mathematics
Volume 2012 (2012), Article ID 180645, 25 pages
Research Article

Numerical Recovery of Gas Flows in Pipeline Systems

Physical & Technical Center, LLC, P.O. Box 236, Nizhny Novgorod Region, Sarov 607190, Russia

Received 15 March 2012; Accepted 27 May 2012

Academic Editor: Mark A. Petersen

Copyright © 2012 Vadim E. Seleznev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Optimal control, prevention and investigation of accidents, and detection of discrepancies in estimated gas supply and distribution volumes are relevant problems of trunkline operation. Efficient dealing with these production tasks is based on the numerical recovery of spacetime distribution of nonisothermal transient flow parameters of transmitted gas mixtures based on full-scale measurements in a substantially limited number of localities spaced considerable distances apart along the gas pipelines. The paper describes a practical method of such recovery by defining and solving a special identification problem. Simulations of product flow parameters in extended branched pipelines, involving calculations of the target function and constraint function for the identification problem of interest, are done in the 1D statement. In conclusion, results of practical application of the method in the gas industry are briefly discussed.