Mathematical Apparatus for Detecting Leakage in Gas Pipelines

O. F. Vasilev, E. A. Bondarev, A. F. Voevodin, and M. A. Kanibolotskii, Non-Isothermal Gas Flow in Pipes (Nauka, Novosibirsk, 1978) [in Russian].

T. I. Lapteva and M. N. Mansurov, “Leak detection for unsteady flow in pipes,” Neftegazov. Delo, No. 2, 1–15 (2006).

A. F. Voevodin and V. S. Nikiforovskaya, “A numerical method for identifying the location of a fluid leak in a pipeline,” J. Appl. Ind. Math. 4 (2), 276–281 (2010). https://doi.org/10.1134/S1990478910020171

C. Thiberville, Y. Wang, P. Waltrich, W. Williams, and S. I. Kam, “Modeling of smart pigging for pipeline leak detection: From mathematical formulation to large-scale application,” in SPE Gas & Oil Technology Showcase and Conference (Dubai, UAE, 21–23 October, 2019), Paper No. SPE-198648-MS (Society of Petroleum Engineers, 2019). https://doi.org/10.2118/198648-MS.

Yu. A. Butikov, N. I. Chura, and S. I. Shirochenskii, Modern Remote Sensing Methods and Equipment for Monitoring Leaks from Main Trunk Pipelines, Ser.: Automation, Telemechanization and Communication in the Gas Industry (IRTs Gazprom, Moscow, 1995) [in Russian].

R. E. Bellman and R. E. Kalaba, Quasilinearization and Non-Linear Boundary Value Problems (Elsevier, New York, 1965).

G. I. Kurbatova, N. N. Ermolaeva, V. B. Filippov, and K. B. Filippov, Design of Gas Pipelines in the Northern Seas (Lan’, St. Petersburg, 2020) [in Russian].

D. V. Sivukhin, General Course in Physics: Thermodynamics and Molecular Physics, Vol. II (Fizmatlit, Moscow, 2006) [in Russian].